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Lucci Mirra Pignatelli - Laurea 08.06_LD

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Eduardo Pignatelli

The document discusses the design of an acoustic shell for outdoor chamber music concerts. It begins with an overview of sound waves and acoustics concepts. It then discusses the problems with open air concerts from the perspectives of musicians and audiences. This includes lack of ensemble support and early decay of sound. It explores passive and active acoustic systems as solutions. Examples of other acoustic shells are provided, including designs that use complex geometries optimized through computational design processes. The document outlines the computational morphogenesis and structural design process used to develop a resonant string shell structure for the acoustic chamber.

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Computational Morphogenesis and Fabrication of an Acoustic Shell for Outdoor Chamber Music Università degli Studi di Napoli Federico II Dipartimento di Architettura Gabriella Lucci Gabriele Mirra Eduardo Pignatelli Relatore Sergio Pone Correlatori Alberto Pugnale Serafino Di Rosario Sofia Colabella Bianca Parenti Tesi di Laurea
1 2 IDENTIFYING THEMATIC AREA STATE OF THE ART METHODOLOGICAL HYPOTESIS EXPERIMENTAL APPLICATION THE ESSENCE OF SOUND WAVES THE PROBLEMS OF AN OPEN AIR CHAMBER MUSIC CONCERT 3DESIGNING AN ACOUSTIC CHAMBER FOR OUTDOOR .THE SOUND WAVE .SOUND PROPAGATION .GEOMETRICAL ACOUSTICS .FREE FIELD .REVERBERANT FIELD ACCORDING TO MUSICIANS .ACCORDING TO AUDIENCE .WHAT ARE GOOD ACOUSTICS .ACTIVE ACOUSTIC SYSTEMS .PASSIVE ACOUSTIC SYSTEMS 1 2 EXAMPLES OF SOLVED PROBLEMS 3RESONANT STRING SHELL - RES .THE RESEARCH PROJECT .RESONANT STRING SHELL 1.0 .RESONANT STRING SHELL 2.0 .RESONANT STRING SHELL 3.0 .RESEARCH STATE AND FUTURE PURPOSES .SOUNDFORMS .SIEBEIN ASSOCIATES .SUONOVIVO .HOLLYWOOD BOWL SHELL .SPECIALITY THEATRE .AALBORG ACOUSTIC PAVILION 1 2 FROM DIGITAL MODEL TO REAL MODEL STRUCTURAL DESIGN PROCESS .HOW TO REALIZE COMPLEX FORMS BUILDING SITE AS AUTOMATED INDUSTRY HIGHTECH DESIGN/LOWTECH CONSTRUCTION .PREREQUISITES .CONCEPT .EXPLORING SOULTIONS TENSEGRITY SHELL SELF BEARING SHELL RECIPROCAL STRUCTURE CABLE-STAYED STRUCTURE 3ENGINEERING THE STRUCTURE .EXECUTIVE PROJECT OPTIMIZATION OF THE CUTTING PROCESS FROM TRUSS TO BOX BEAM KNOTS DEFINITION 4SIMPLIFYING CONSTRUCTION SITE PROGRAMMING INSTALLATION PHASES CONSTRUCTION MACHINERY’S DESIGN 3THE OPTIMIZATION PROCESS 1COMPUTATIONAL MORPHOGENESIS .WHAT IS COMPUTATIONAL MORPH .THE MORPHOGENETIC PROCESS 2RES 4.0 - THE ALGORITHM .ALGORITHM OVERVIEW .INPUTS .COMPLEX FORMS FROM SIMPLE ELEMENTS .DESIGN VARIABLES (RES ANALISYS) .RES 4.0 GENOME (VARIABLE AND STABLE) .INPUT POPULATION .MODELING THE NATURE OF SOUND THE IMAGE SOURCE METHOD THE RAYTRACING METHOD .THE PROCESSING CORE THE CODE .USEFUL OUTPUTS SOUND PRESSURE LEVEL .OPTIMIZATION AS AWARENESS TOOL FIRST DOMAIN SETTINGS SECOND DOMAIN SETTINGS THIRD DOMAIN SETTINGS .ARCHITHECTURAL SETTING PALAZZO GRAVINA THE MUSICIANS THE AUDIENCE .FINAL OPTIMIZATION .RESULTS ANALYSIS .CILIA SYSTEM THE EVOLUTION OF DESIGN METHODS .FROM ANALOG DESIGN TO PARAMETRIC APPROACH .A SIGNIFICANT EXAMPLE FROM ANALOG TO DIGITAL DESIGN
Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application T H E E S S E N C E O F S O U N D W A V E S
Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application f frequency = c / λ T cycle = 1 / fc sound speed in air = 343 m/s λ wavelenght x[m] y [m] a
Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application WAVEFRONT SOURCE FROM ACOUSTIC WAVE TO ACOUSTIC RAY
Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application 2 4 r W S W I π == 1120log(rLL WI )−−=SOUND INTENSITY SOUND PRESSURE LEVEL r a a a a a a a a a a a a a a 2r 3r
Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application FFFFFF DIREC T R AY REFLEC TED R AY SOURC E IMA GE SOU RCE R E F L E C T I V E S U R F A C E ACOUSTIC REFLECTION MODEL θ1 θ2 SNELL LAW : θ1 = θ2
Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application Free Field
Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application Reverberant Field
Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application The problems of an Open Air Chamber Music Concert
Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application
Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application THE PROBLEMS ACCORDING TO MUSICIANS MUSIC PERCEPTION ACOUSTIC PARAMETER MUSICIANS CANNOT HEAR EACH OTHERS ENSEMBLE STAGE SUPPORT
Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application THE PROBLEMS ACCORDING TO MUSICIANS MUSIC PERCEPTION ACOUSTIC PARAMETER MUSICIANS CANNOT HEAR EACH OTHERS ENSEMBLE STAGE SUPPORT EARLY DECAY OF SOUND FOR CHAMBER MUSIC SUBJECTIVE REVERB EARLY DECAY TIME
Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application LOW SOUND INTENSITY NO MUSIC SOUND PRESSURE LEVEL THE PROBLEMS ACCORDING TO AUDIENCE MUSIC PERCEPTION ACOUSTIC PARAMETER
Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application LOW SOUND INTENSITY NO MUSIC SOUND PRESSURE LEVEL THE PROBLEMS ACCORDING TO AUDIENCE MUSIC PERCEPTION ACOUSTIC PARAMETER SPATIALIZATION INTERAURAL CROSS CORRELATION NON-UNIFORM SOUND FIELD
Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application What Are Good Acoustics? [...]the Composition, the Conductor, the Orchestra, and the Hall . It is vital to distinguish among these ingredients and to understand what each contributes to the totality. L.L. Beranek - Concert Hall and Opera Houses, 2004
Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application Designing an Acoustic Chamber for Outdoor Active Acoustic Systems Passive Acoustic Systems
Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application Passive Acoustic Systems Designing an Acoustic Chamber for Outdoor Active Acoustic Systems
Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application Examples of Solved Problems
Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application Soundforms_Arup THE REGULAR SIZE (21m x 14m) -75 mq of platform area -10m wide at the front -8m wide at the back -7m deep The REGULAR is acoustically optimized for 18 – 23 musicians THE MEDIUM SIZE (17m x 27m) -98 mq of platform area -13m wide at the front -8.5m wide at the back -9m deep The MEDIUM is acoustically optimized for 36 – 50 musicians THE LARGE SIZE (20m x 33.5m) -231 mq -16m wide at the front -10.4m wide at the back -11.2m deep The LARGE is acoustically optimized for 75 – 100 musicians Examples of Solved Problems
Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application Acoustical Design of the Band Shell or Enclosure • Design and shape the ceiling and walls to provide natural acoustic projection of sounds from the enclosure to the audience • Integrate sound system components to provide weather protection a well as enhance acoustical directivity for loudspeakers • Provide a network of wall and ceiling panels to provide sound reflections so performers on stage can hear each other and play in ensemble Containment of Sounds within Facility to meet Noise Ordinance Requirements at Facility Perimeter • Natural barriers and partial enclosures such as walls, berms, hills, planters, landscape elements, etc. as part of architectural design of facility • Location and directionality of loudspeakers to minimize sound spills out of audience area • Use of a greater number of smaller loudspeakers or digitally con- trolled line array speakers with controlled directional patterns to minimize sound spills outside of audience area • Automatic control of volume and frequency response through DSP (digital signal processing) controllers Siebein Associates Shell Examples of Solved Problems
Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application Outdoor Panels_SuonoVivo the Suono Vivo outdoor acoustic chamber consists of panels in Lexan Polycarbonate featuring outstanding sound reflectionproperties. Has a modular structure that adapts to the stage needs of large orchestras and also individual soloists. It is quickly assembled and disassembled. Is weatherproof. Examples of Solved Problems
Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application The ACOUSTIC REFLECTOR has aproximately the same area as the orchestra risers and is positioned roughly 9.14 m above the orchestra to provide the critical 30-msec dispersed relfections; in its final form, the reflector asumes the shape of a longitudinally positioned ellipse, inclined about 10 degrees above orizontal. The stage canopy is composed of a tennis-court-sized aluminium and fiberglass ring spanned by folding, translucent polycarbonate panels. Hollywood Bowl Shell Examples of Solved Problems
Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application Examples of Solved Problems Inflatable Shell_speciality Theatre Small Shell Depth: 4 m Height: 4 m Width: 8 m Footprint Area: 32 mq Shipping Weight: 166 kg Medium Shell Depth: 6 m Height: 6 m Width: 13 m Footprint Area: 78 mq Shipping Weight: 266 kg Large Shell Depth: 8 m Height: 8 m Width: 16 m Footprint Area: 128 mq Shipping Weight: 359 kg 8 m 4 m 4 m 13 m 6 m 6 m 16 m 8 m 8 m
Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application Aalborg Acoustic Pavilion The Acoustic Pavilion was designed as a stage for electronic and experimental music. It is created from evolutionary algorithms that search the opti- mum form and reflective environment for electronic music within the context of Aalborg’s harbour front. It encloses the musical space from the city and opens to the water aiming at creating an intimate sound based milieu within an open public realm. The actu- al design process was based on numerous experiments concerned with form, materials, structure, and acoustics that aided by com- putational algorithms generated the final shape as well as the pointy wood components. Examples of Solved Problems
Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application Analog Design vs Parametric Approach
Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application REsonant String shell A significant example of evolution from analog to digital design
Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application ReS 1.0 Design Methods • Totally Analog Process Acoustic Devices • Main Shell • Array System • Cilia System • Reflective Bottom
Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application ReS 1.0Acoustic Performance
Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application ReS 2.0 Design Methods • First Digital Design Process • Restricted Form Improvement Process • Panel Orientation Optimized by COVERING AREA Acoustic Devices • Main Shell • Array System • Cilia System • Reflective Bottom
Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application ReS 2.0 Acoustic Performance
Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application ReS 1.0 Design Methods ReS 3.0 Design Methods • Digital Design Process • Restricted Form Improvement Process • Customizable According to Musicians Setups • Computational Improvement of the Form by NUMBER OF REFLECTIONS Acoustic Devices • Main Shell • Customizable Array System • Elongated Cilia System • Diffusive Bottom
Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application ReS 3.0Acoustic Performance
Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application Research State And Future Purposes
Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application What is Computational Morphogenesis? The Morphogenetic Process involves: the Construction, the Analysis and the Evaluation of a certain Topological Space, Designed for one or more Objectives. It follows a recursive paths, performing a continous Improvement of the form: 1. Defining the most performing configuration of the space 2. Providing a landscape of solutions for the Awareness of the problem
Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application The Morphogenetic Process DEFINITION OF DESIGN VARIBALES INPUT SYSTEM INDIVIDUAL SELECTION RESULTING INDIVIDUALS CROSSOVER MUTATION NEW POPULATION GEOMETRY FITNESS ACOUSTIC SIMULATION PROCESSING COREEVOLUTIONARY-BASED OPTIMIZATION REPRESENTATION OF THE ACOUSTIC SHELL OUTPUT SYSTEM RANDOM GENERATION OF THE 1ST POPULATION
Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application Algorithm Overview Input Processing Core Output
Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application INPUT VARIABLE DESIGN RES 3.0 ANALYSIS 0PHENOTYPE LAST RES 2THE SOURCE GEOMETRY THE SHAPE 3THE SOURCE GEOMETRY PANELIZATION 4THE SOURCE GEOMETRY PROPORTIONS 5THE SOURCE GEOMETRY CURVATURE 6THE SOURCE GEOMETRY DEPTH 1RINGS THE SMOOTHNESS 0PHENOTYPE LAST RES
Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application INPUT VARIABLE DESIGN RES 3.0 ANALYSIS 0PHENOTYPE LAST RES 2THE SOURCE GEOMETRY THE SHAPE 3THE SOURCE GEOMETRY PANELIZATION 4THE SOURCE GEOMETRY PROPORTIONS 5THE SOURCE GEOMETRY CURVATURE 6THE SOURCE GEOMETRY DEPTH 1RINGS THE SMOOTHNESS 0PHENOTYPE LAST RES 1st ring1st ring 1RINGS THE SMOOTHNESS
Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application INPUT VARIABLE DESIGN RES 3.0 ANALYSIS 0PHENOTYPE LAST RES 2THE SOURCE GEOMETRY THE SHAPE 3THE SOURCE GEOMETRY PANELIZATION 4THE SOURCE GEOMETRY PROPORTIONS 5THE SOURCE GEOMETRY CURVATURE 6THE SOURCE GEOMETRY DEPTH 1RINGS THE SMOOTHNESS 0PHENOTYPE LAST RES 1st ring1st ring 1RINGS THE SMOOTHNESS 2nd ring2nd ring 1st ring1st ring
Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application INPUT VARIABLE DESIGN RES 3.0 ANALYSIS 0PHENOTYPE LAST RES 2THE SOURCE GEOMETRY THE SHAPE 3THE SOURCE GEOMETRY PANELIZATION 4THE SOURCE GEOMETRY PROPORTIONS 5THE SOURCE GEOMETRY CURVATURE 6THE SOURCE GEOMETRY DEPTH 1RINGS THE SMOOTHNESS 0PHENOTYPE LAST RES 1st ring1st ring 1RINGS THE SMOOTHNESS 2nd ring2nd ring 1st ring1st ring 3rd ring3rd ring 2nd ring2nd ring 1st ring1st ring
Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application INPUT VARIABLE DESIGN RES 3.0 ANALYSIS 0PHENOTYPE LAST RES 2THE SOURCE GEOMETRY THE SHAPE 3THE SOURCE GEOMETRY PANELIZATION 4THE SOURCE GEOMETRY PROPORTIONS 5THE SOURCE GEOMETRY CURVATURE 6THE SOURCE GEOMETRY DEPTH 1RINGS THE SMOOTHNESS 3rd ring3rd ring 2nd ring2nd ring 1st ring1st ring
Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application INPUT VARIABLE DESIGN RES 3.0 ANALYSIS 0PHENOTYPE LAST RES 2THE SOURCE GEOMETRY THE SHAPE 3THE SOURCE GEOMETRY PANELIZATION 4THE SOURCE GEOMETRY PROPORTIONS 5THE SOURCE GEOMETRY CURVATURE 6THE SOURCE GEOMETRY DEPTH 1RINGS THE SMOOTHNESS 3rd ring3rd ring 2nd ring2nd ring 1st ring1st ring 0PHENOTYPE LAST RES 2THE SOURCE GEOMETRY THE SHAPE 1RINGS THE SMOOTHNESS
Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application INPUT VARIABLE DESIGN RES 3.0 ANALYSIS 0PHENOTYPE LAST RES 2THE SOURCE GEOMETRY THE SHAPE 3THE SOURCE GEOMETRY PANELIZATION 4THE SOURCE GEOMETRY PROPORTIONS 5THE SOURCE GEOMETRY CURVATURE 6THE SOURCE GEOMETRY DEPTH 1RINGS THE SMOOTHNESS 0PHENOTYPE LAST RES 2THE SOURCE GEOMETRY THE SHAPE 1RINGS THE SMOOTHNESS
Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application INPUT VARIABLE DESIGN RES 3.0 ANALYSIS 0PHENOTYPE LAST RES 2THE SOURCE GEOMETRY THE SHAPE 3THE SOURCE GEOMETRY PANELIZATION 4THE SOURCE GEOMETRY PROPORTIONS 5THE SOURCE GEOMETRY CURVATURE 6THE SOURCE GEOMETRY DEPTH 1RINGS THE SMOOTHNESS 0PHENOTYPE LAST RES 2THE SOURCE GEOMETRY THE SHAPE 1RINGS THE SMOOTHNESS
Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application INPUT VARIABLE DESIGN RES 3.0 ANALYSIS 0PHENOTYPE LAST RES 2THE SOURCE GEOMETRY THE SHAPE 3THE SOURCE GEOMETRY PANELIZATION 4THE SOURCE GEOMETRY PROPORTIONS 5THE SOURCE GEOMETRY CURVATURE 6THE SOURCE GEOMETRY DEPTH 1RINGS THE SMOOTHNESS 0PHENOTYPE LAST RES 2THE SOURCE GEOMETRY THE SHAPE 1RINGS THE SMOOTHNESS 3THE SOURCE GEOMETRY PANELIZATION 0PHENOTYPE LAST RES 2THE SOURCE GEOMETRY THE SHAPE 1RINGS THE SMOOTHNESS
Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application INPUT VARIABLE DESIGN RES 3.0 ANALYSIS 0PHENOTYPE LAST RES 2THE SOURCE GEOMETRY THE SHAPE 3THE SOURCE GEOMETRY PANELIZATION 4THE SOURCE GEOMETRY PROPORTIONS 5THE SOURCE GEOMETRY CURVATURE 6THE SOURCE GEOMETRY DEPTH 1RINGS THE SMOOTHNESS 3THE SOURCE GEOMETRY PANELIZATION 0PHENOTYPE LAST RES 2THE SOURCE GEOMETRY THE SHAPE 1RINGS THE SMOOTHNESS
Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application INPUT VARIABLE DESIGN RES 3.0 ANALYSIS 0PHENOTYPE LAST RES 2THE SOURCE GEOMETRY THE SHAPE 3THE SOURCE GEOMETRY PANELIZATION 4THE SOURCE GEOMETRY PROPORTIONS 5THE SOURCE GEOMETRY CURVATURE 6THE SOURCE GEOMETRY DEPTH 1RINGS THE SMOOTHNESS
Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application INPUT VARIABLE DESIGN RES 3.0 ANALYSIS 0PHENOTYPE LAST RES 2THE SOURCE GEOMETRY THE SHAPE 3THE SOURCE GEOMETRY PANELIZATION 4THE SOURCE GEOMETRY PROPORTIONS 5THE SOURCE GEOMETRY CURVATURE 6THE SOURCE GEOMETRY DEPTH 1RINGS THE SMOOTHNESS R1 R24THE SOURCE GEOMETRY PROPORTIONS 0PHENOTYPE LAST RES 2THE SOURCE GEOMETRY THE SHAPE 1RINGS THE SMOOTHNESS 3THE SOURCE GEOMETRY PANELIZATION
Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application INPUT VARIABLE DESIGN RES 3.0 ANALYSIS 0PHENOTYPE LAST RES 2THE SOURCE GEOMETRY THE SHAPE 3THE SOURCE GEOMETRY PANELIZATION 4THE SOURCE GEOMETRY PROPORTIONS 5THE SOURCE GEOMETRY CURVATURE 6THE SOURCE GEOMETRY DEPTH 1RINGS THE SMOOTHNESS 5THE SOURCE GEOMETRY CURVATURE 0PHENOTYPE LAST RES 2THE SOURCE GEOMETRY THE SHAPE 3THE SOURCE GEOMETRY PANELIZATION 4THE SOURCE GEOMETRY PROPORTIONS 1RINGS THE SMOOTHNESS
Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application INPUT VARIABLE DESIGN RES 3.0 ANALYSIS 0PHENOTYPE LAST RES 2THE SOURCE GEOMETRY THE SHAPE 3THE SOURCE GEOMETRY PANELIZATION 4THE SOURCE GEOMETRY PROPORTIONS 5THE SOURCE GEOMETRY CURVATURE 6THE SOURCE GEOMETRY DEPTH 1RINGS THE SMOOTHNESS 5THE SOURCE GEOMETRY CURVATURE 0PHENOTYPE LAST RES 2THE SOURCE GEOMETRY THE SHAPE 3THE SOURCE GEOMETRY PANELIZATION 4THE SOURCE GEOMETRY PROPORTIONS 1RINGS THE SMOOTHNESS
Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application INPUT VARIABLE DESIGN RES 3.0 ANALYSIS 0PHENOTYPE LAST RES 2THE SOURCE GEOMETRY THE SHAPE 3THE SOURCE GEOMETRY PANELIZATION 4THE SOURCE GEOMETRY PROPORTIONS 5THE SOURCE GEOMETRY CURVATURE 6THE SOURCE GEOMETRY DEPTH 1RINGS THE SMOOTHNESS 0PHENOTYPE LAST RES 2THE SOURCE GEOMETRY THE SHAPE 3THE SOURCE GEOMETRY PANELIZATION 4THE SOURCE GEOMETRY PROPORTIONS 5THE SOURCE GEOMETRY CURVATURE 6THE SOURCE GEOMETRY DEPTH 1RINGS THE SMOOTHNESS
Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application 2 1DEPTH RINGS 3RATIO 4RADIUS 5POSITION 6SCALE0 7SCALE1 8SCALE2 9SCALE3 10PANEL1 11PANEL2 INPUT VARIABLES DESIGN RES 4.0 GENOME
Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application 2 1DEPTH RINGS 3RATIO 4RADIUS 5POSITION 6SCALE0 7SCALE1 8SCALE2 9SCALE3 10PANEL1 11PANEL2 INPUT VARIABLES DESIGN RES 4.0 GENOME 1DEPTH
Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application 2 1DEPTH RINGS 3RATIO 4RADIUS 5POSITION 6SCALE0 7SCALE1 8SCALE2 9SCALE3 10PANEL1 11PANEL2 INPUT VARIABLES DESIGN RES 4.0 GENOME 2 1DEPTH RINGS
Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application 2 1DEPTH RINGS 3RATIO 4RADIUS 5POSITION 6SCALE0 7SCALE1 8SCALE2 9SCALE3 10PANEL1 11PANEL2 INPUT VARIABLES DESIGN RES 4.0 GENOME 2 1DEPTH RINGS 3RATIO
Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application 2 1DEPTH RINGS 3RATIO 4RADIUS 5POSITION 6SCALE0 7SCALE1 8SCALE2 9SCALE3 10PANEL1 11PANEL2 INPUT VARIABLES DESIGN RES 4.0 GENOME 2 1DEPTH RINGS 3RATIO 4RADIUS 5POSITION
Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application 2 1DEPTH RINGS 3RATIO 4RADIUS 5POSITION 6SCALE0 7SCALE1 8SCALE2 9SCALE3 10PANEL1 11PANEL2 INPUT VARIABLES DESIGN RES 4.0 GENOME 2 1DEPTH RINGS 3RATIO 4RADIUS 5POSITION 6SCALE0 7SCALE1 8SCALE2 9SCALE3
Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application 2 1DEPTH RINGS 3RATIO 4RADIUS 5POSITION 6SCALE0 7SCALE1 8SCALE2 9SCALE3 10PANEL1 11PANEL2 INPUT VARIABLES DESIGN RES 4.0 GENOME 2 1DEPTH RINGS 3RATIO 4RADIUS 5POSITION 6SCALE0 7SCALE1 8SCALE2 9SCALE3 10PANEL1 11PANEL2
Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application Input Variables Design ReS 4.0 Topologic Space
Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application Input Variables Design ReS 4.0 Topologic Space
Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application Input Variables Design ReS 4.0 Topologic Space
Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application Modelling the Physical Nature of Sound Propagation Models Alvar Aalto - Acoustic Studies for Viipuri Municipal Library
Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application S A B C R 0DEFINE N ACOUSTIC RAYS: EX N = 10 2EXTEND UNTIL IT WILL INTERSECT A SURFACE 3MIRROR THE SOURCE ON SURFACE A 4DRAW A LINE BETWEEN THE MIRRORED SOURCE AND THE INTERSECTION POINT 5INTERSECT WITH THE NEXT SURFACE 6MIRROR THE MIRRORED SOURCE ON SURFACE C 7DRAW A LINE BETWEEN THE MIRRORED SOURCE AND THE INTERSECTION POINT 8INTERSECT WITH THE NEXT SURFACE NO INTERSECTION! 9REPEAT THE PROCESS FOR EACH RAY 1CHOOSE ONE ACOUSTIC RAY RAY TRACING METHOD
Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application S A B C R 0DEFINE N ACOUSTIC RAYS: EX N = 100DEFINE N ACOUSTIC RAYS: EX N = 10 2EXTEND UNTIL IT WILL INTERSECT A SURFACE 3MIRROR THE SOURCE ON SURFACE A 4DRAW A LINE BETWEEN THE MIRRORED SOURCE AND THE INTERSECTION POINT 5INTERSECT WITH THE NEXT SURFACE 6MIRROR THE MIRRORED SOURCE ON SURFACE C 7DRAW A LINE BETWEEN THE MIRRORED SOURCE AND THE INTERSECTION POINT 8INTERSECT WITH THE NEXT SURFACE NO INTERSECTION! 9REPEAT THE PROCESS FOR EACH RAY 1CHOOSE ONE ACOUSTIC RAY RAY TRACING METHOD
Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application S A B C R 1CHOOSE ONE ACOUSTIC RAY 0DEFINE N ACOUSTIC RAYS: EX N = 10 2EXTEND UNTIL IT WILL INTERSECT A SURFACE 3MIRROR THE SOURCE ON SURFACE A 4DRAW A LINE BETWEEN THE MIRRORED SOURCE AND THE INTERSECTION POINT 5INTERSECT WITH THE NEXT SURFACE 6MIRROR THE MIRRORED SOURCE ON SURFACE C 7DRAW A LINE BETWEEN THE MIRRORED SOURCE AND THE INTERSECTION POINT 8INTERSECT WITH THE NEXT SURFACE NO INTERSECTION! 9REPEAT THE PROCESS FOR EACH RAY 1CHOOSE ONE ACOUSTIC RAY RAY TRACING METHOD
Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application S A B C R 2EXTEND UNTIL IT WILL INTERSECT A SURFACE 0DEFINE N ACOUSTIC RAYS: EX N = 10 2EXTEND UNTIL IT WILL INTERSECT A SURFACE 3MIRROR THE SOURCE ON SURFACE A 4DRAW A LINE BETWEEN THE MIRRORED SOURCE AND THE INTERSECTION POINT 5INTERSECT WITH THE NEXT SURFACE 6MIRROR THE MIRRORED SOURCE ON SURFACE C 7DRAW A LINE BETWEEN THE MIRRORED SOURCE AND THE INTERSECTION POINT 8INTERSECT WITH THE NEXT SURFACE NO INTERSECTION! 9REPEAT THE PROCESS FOR EACH RAY 1CHOOSE ONE ACOUSTIC RAY RAY TRACING METHOD
Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application S A B C R m_Sa 3MIRROR THE SOURCE ON SURFACE A 0DEFINE N ACOUSTIC RAYS: EX N = 10 2EXTEND UNTIL IT WILL INTERSECT A SURFACE 3MIRROR THE SOURCE ON SURFACE A 4DRAW A LINE BETWEEN THE MIRRORED SOURCE AND THE INTERSECTION POINT 5INTERSECT WITH THE NEXT SURFACE 6MIRROR THE MIRRORED SOURCE ON SURFACE C 7DRAW A LINE BETWEEN THE MIRRORED SOURCE AND THE INTERSECTION POINT 8INTERSECT WITH THE NEXT SURFACE NO INTERSECTION! 9REPEAT THE PROCESS FOR EACH RAY 1CHOOSE ONE ACOUSTIC RAY RAY TRACING METHOD
Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application S A B C R m_Sa 4DRAW A LINE BETWEEN THE MIRRORED SOURCE AND THE INTERSECTION POINT 0DEFINE N ACOUSTIC RAYS: EX N = 10 2EXTEND UNTIL IT WILL INTERSECT A SURFACE 3MIRROR THE SOURCE ON SURFACE A 4DRAW A LINE BETWEEN THE MIRRORED SOURCE AND THE INTERSECTION POINT 5INTERSECT WITH THE NEXT SURFACE 6MIRROR THE MIRRORED SOURCE ON SURFACE C 7DRAW A LINE BETWEEN THE MIRRORED SOURCE AND THE INTERSECTION POINT 8INTERSECT WITH THE NEXT SURFACE NO INTERSECTION! 9REPEAT THE PROCESS FOR EACH RAY 1CHOOSE ONE ACOUSTIC RAY RAY TRACING METHOD
Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application S A B C R m_Sa 5INTERSECT WITH THE NEXT SURFACE 0DEFINE N ACOUSTIC RAYS: EX N = 10 2EXTEND UNTIL IT WILL INTERSECT A SURFACE 3MIRROR THE SOURCE ON SURFACE A 4DRAW A LINE BETWEEN THE MIRRORED SOURCE AND THE INTERSECTION POINT 5INTERSECT WITH THE NEXT SURFACE 6MIRROR THE MIRRORED SOURCE ON SURFACE C 7DRAW A LINE BETWEEN THE MIRRORED SOURCE AND THE INTERSECTION POINT 8INTERSECT WITH THE NEXT SURFACE NO INTERSECTION! 9REPEAT THE PROCESS FOR EACH RAY 1CHOOSE ONE ACOUSTIC RAY RAY TRACING METHOD
Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application S A B C R m_Sa m_Sac 6MIRROR THE MIRRORED SOURCE ON SURFACE C 0DEFINE N ACOUSTIC RAYS: EX N = 10 2EXTEND UNTIL IT WILL INTERSECT A SURFACE 3MIRROR THE SOURCE ON SURFACE A 4DRAW A LINE BETWEEN THE MIRRORED SOURCE AND THE INTERSECTION POINT 5INTERSECT WITH THE NEXT SURFACE 6MIRROR THE MIRRORED SOURCE ON SURFACE C 7DRAW A LINE BETWEEN THE MIRRORED SOURCE AND THE INTERSECTION POINT 8INTERSECT WITH THE NEXT SURFACE NO INTERSECTION! 9REPEAT THE PROCESS FOR EACH RAY 1CHOOSE ONE ACOUSTIC RAY RAY TRACING METHOD
Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application S A B C R m_Sa m_Sac 7DRAW A LINE BETWEEN THE MIRRORED SOURCE AND THE INTERSECTION POINT 0DEFINE N ACOUSTIC RAYS: EX N = 10 2EXTEND UNTIL IT WILL INTERSECT A SURFACE 3MIRROR THE SOURCE ON SURFACE A 4DRAW A LINE BETWEEN THE MIRRORED SOURCE AND THE INTERSECTION POINT 5INTERSECT WITH THE NEXT SURFACE 6MIRROR THE MIRRORED SOURCE ON SURFACE C 7DRAW A LINE BETWEEN THE MIRRORED SOURCE AND THE INTERSECTION POINT 8INTERSECT WITH THE NEXT SURFACE NO INTERSECTION! 9REPEAT THE PROCESS FOR EACH RAY 1CHOOSE ONE ACOUSTIC RAY RAY TRACING METHOD
Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application S A B C R m_Sa 8INTERSECT WITH THE NEXT SURFACE NO INTERSECTION! 0DEFINE N ACOUSTIC RAYS: EX N = 10 2EXTEND UNTIL IT WILL INTERSECT A SURFACE 3MIRROR THE SOURCE ON SURFACE A 4DRAW A LINE BETWEEN THE MIRRORED SOURCE AND THE INTERSECTION POINT 5INTERSECT WITH THE NEXT SURFACE 6MIRROR THE MIRRORED SOURCE ON SURFACE C 7DRAW A LINE BETWEEN THE MIRRORED SOURCE AND THE INTERSECTION POINT 8INTERSECT WITH THE NEXT SURFACE NO INTERSECTION! 9REPEAT THE PROCESS FOR EACH RAY 1CHOOSE ONE ACOUSTIC RAY RAY TRACING METHOD
Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application S A B C R 9REPEAT THE PROCESS FOR EACH RAY 0DEFINE N ACOUSTIC RAYS: EX N = 10 2EXTEND UNTIL IT WILL INTERSECT A SURFACE 3MIRROR THE SOURCE ON SURFACE A 4DRAW A LINE BETWEEN THE MIRRORED SOURCE AND THE INTERSECTION POINT 5INTERSECT WITH THE NEXT SURFACE 6MIRROR THE MIRRORED SOURCE ON SURFACE C 7DRAW A LINE BETWEEN THE MIRRORED SOURCE AND THE INTERSECTION POINT 8INTERSECT WITH THE NEXT SURFACE NO INTERSECTION! 9REPEAT THE PROCESS FOR EACH RAY 1CHOOSE ONE ACOUSTIC RAY RAY TRACING METHOD
Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application S R A B C S R 0DEFINE A BOUNCES NUMBER EX N = 2 A B C 5INTERSECT WITH SURFACE C 7INTERSECT WITH SURFACE A 9REPEAT THE PROCESS FOR EACH COMBINATION 0DEFINE A BOUNCES NUMBER EX N = 2 1CHOOSE A BOUNCES COMBINATION EX SACR 3MIRROR THE MIRRORED SOURCE ON SURFACE C 4DRAW A LINE BETWEEN THE TARGET AND THE LAST MIRRORED SOURCE 6DRAW A LINE BETWEEN THE INTERSECTION POINT AND THE PREVIOUS MIRRORED SOURCE 8DRAW A POLYRAY BETWEEN THE POINTS 2MIRROR THE SOURCE ON SURFACE A IMAGE SOURCE METHOD
Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application S R A B C S A B C R 1CHOOSE A BOUNCES COMBINATION EX SACR BOUNCES NUMBER: 2 POSSIBLE COMBINATIONS: SABR SACR SBAR SBCR SCAR SCBR 5INTERSECT WITH SURFACE C 7INTERSECT WITH SURFACE A 9REPEAT THE PROCESS FOR EACH COMBINATION 0DEFINE A BOUNCES NUMBER EX N = 2 1CHOOSE A BOUNCES COMBINATION EX SACR 3MIRROR THE MIRRORED SOURCE ON SURFACE C 4DRAW A LINE BETWEEN THE TARGET AND THE LAST MIRRORED SOURCE 6DRAW A LINE BETWEEN THE INTERSECTION POINT AND THE PREVIOUS MIRRORED SOURCE 8DRAW A POLYRAY BETWEEN THE POINTS 2MIRROR THE SOURCE ON SURFACE A IMAGE SOURCE METHOD
Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application S R A B C m_Sa 2MIRROR THE SOURCE ON SURFACE A 5INTERSECT WITH SURFACE C 7INTERSECT WITH SURFACE A 9REPEAT THE PROCESS FOR EACH COMBINATION 0DEFINE A BOUNCES NUMBER EX N = 2 1CHOOSE A BOUNCES COMBINATION EX SACR 3MIRROR THE MIRRORED SOURCE ON SURFACE C 4DRAW A LINE BETWEEN THE TARGET AND THE LAST MIRRORED SOURCE 6DRAW A LINE BETWEEN THE INTERSECTION POINT AND THE PREVIOUS MIRRORED SOURCE 8DRAW A POLYRAY BETWEEN THE POINTS 2MIRROR THE SOURCE ON SURFACE A IMAGE SOURCE METHOD
Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application S R A B C m_Sa m_Sac 3MIRROR THE MIRRORED SOURCE ON SURFACE C 5INTERSECT WITH SURFACE C 7INTERSECT WITH SURFACE A 9REPEAT THE PROCESS FOR EACH COMBINATION 0DEFINE A BOUNCES NUMBER EX N = 2 1CHOOSE A BOUNCES COMBINATION EX SACR 3MIRROR THE MIRRORED SOURCE ON SURFACE C 4DRAW A LINE BETWEEN THE TARGET AND THE LAST MIRRORED SOURCE 6DRAW A LINE BETWEEN THE INTERSECTION POINT AND THE PREVIOUS MIRRORED SOURCE 8DRAW A POLYRAY BETWEEN THE POINTS 2MIRROR THE SOURCE ON SURFACE A IMAGE SOURCE METHOD
Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application S R A B C m_Sa m_Sac 4DRAW A LINE BETWEEN THE TARGET AND THE LAST MIRRORED SOURCE 5INTERSECT WITH SURFACE C 7INTERSECT WITH SURFACE A 9REPEAT THE PROCESS FOR EACH COMBINATION 0DEFINE A BOUNCES NUMBER EX N = 2 1CHOOSE A BOUNCES COMBINATION EX SACR 3MIRROR THE MIRRORED SOURCE ON SURFACE C 4DRAW A LINE BETWEEN THE TARGET AND THE LAST MIRRORED SOURCE 6DRAW A LINE BETWEEN THE INTERSECTION POINT AND THE PREVIOUS MIRRORED SOURCE 8DRAW A POLYRAY BETWEEN THE POINTS 2MIRROR THE SOURCE ON SURFACE A IMAGE SOURCE METHOD
Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application S R A B C m_Sa m_Sac 5INTERSECT WITH SURFACE C5INTERSECT WITH SURFACE C 7INTERSECT WITH SURFACE A 9REPEAT THE PROCESS FOR EACH COMBINATION 0DEFINE A BOUNCES NUMBER EX N = 2 1CHOOSE A BOUNCES COMBINATION EX SACR 3MIRROR THE MIRRORED SOURCE ON SURFACE C 4DRAW A LINE BETWEEN THE TARGET AND THE LAST MIRRORED SOURCE 6DRAW A LINE BETWEEN THE INTERSECTION POINT AND THE PREVIOUS MIRRORED SOURCE 8DRAW A POLYRAY BETWEEN THE POINTS 2MIRROR THE SOURCE ON SURFACE A IMAGE SOURCE METHOD
Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application S R A B C m_Sa m_Sac 6DRAW A LINE BETWEEN THE INTERSECTION POINT AND THE PREVIOUS MIRRORED SOURCE 5INTERSECT WITH SURFACE C 7INTERSECT WITH SURFACE A 9REPEAT THE PROCESS FOR EACH COMBINATION 0DEFINE A BOUNCES NUMBER EX N = 2 1CHOOSE A BOUNCES COMBINATION EX SACR 3MIRROR THE MIRRORED SOURCE ON SURFACE C 4DRAW A LINE BETWEEN THE TARGET AND THE LAST MIRRORED SOURCE 6DRAW A LINE BETWEEN THE INTERSECTION POINT AND THE PREVIOUS MIRRORED SOURCE 8DRAW A POLYRAY BETWEEN THE POINTS 2MIRROR THE SOURCE ON SURFACE A IMAGE SOURCE METHOD
Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application S R A B C m_Sa m_Sac 7INTERSECT WITH SURFACE A 5INTERSECT WITH SURFACE C 7INTERSECT WITH SURFACE A 9REPEAT THE PROCESS FOR EACH COMBINATION 0DEFINE A BOUNCES NUMBER EX N = 2 1CHOOSE A BOUNCES COMBINATION EX SACR 3MIRROR THE MIRRORED SOURCE ON SURFACE C 4DRAW A LINE BETWEEN THE TARGET AND THE LAST MIRRORED SOURCE 6DRAW A LINE BETWEEN THE INTERSECTION POINT AND THE PREVIOUS MIRRORED SOURCE 8DRAW A POLYRAY BETWEEN THE POINTS 2MIRROR THE SOURCE ON SURFACE A IMAGE SOURCE METHOD
Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application S R A B C m_Sa m_Sac 8DRAW A POLYRAY BETWEEN THE POINTS 5INTERSECT WITH SURFACE C 7INTERSECT WITH SURFACE A 9REPEAT THE PROCESS FOR EACH COMBINATION 0DEFINE A BOUNCES NUMBER EX N = 2 1CHOOSE A BOUNCES COMBINATION EX SACR 3MIRROR THE MIRRORED SOURCE ON SURFACE C 4DRAW A LINE BETWEEN THE TARGET AND THE LAST MIRRORED SOURCE 6DRAW A LINE BETWEEN THE INTERSECTION POINT AND THE PREVIOUS MIRRORED SOURCE 8DRAW A POLYRAY BETWEEN THE POINTS 2MIRROR THE SOURCE ON SURFACE A IMAGE SOURCE METHOD
Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application S R A B C 9REPEAT THE PROCESS FOR EACH COMBINATION 5INTERSECT WITH SURFACE C 7INTERSECT WITH SURFACE A 9REPEAT THE PROCESS FOR EACH COMBINATION 0DEFINE A BOUNCES NUMBER EX N = 2 1CHOOSE A BOUNCES COMBINATION EX SACR 3MIRROR THE MIRRORED SOURCE ON SURFACE C 4DRAW A LINE BETWEEN THE TARGET AND THE LAST MIRRORED SOURCE 6DRAW A LINE BETWEEN THE INTERSECTION POINT AND THE PREVIOUS MIRRORED SOURCE 8DRAW A POLYRAY BETWEEN THE POINTS 2MIRROR THE SOURCE ON SURFACE A IMAGE SOURCE METHOD
Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application S R A B C S R A B C S A B C R S A B C R METHODS COMPARISON
PROCESSING CORE Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application
#IMAGE SOURCE DEFINING TRASFORMATION MATRIX DirectionMove_L = [] SrfCenter_L = [] for i in ReflectSrf: ....SurfaceCenterPoint = rs.SurfaceAreaCentroid(i)[0] ....SrfCenter_L.append(SurfaceCenterPoint) ....SurfaceUV = rs.SurfaceClosestPoint(i,SurfaceCenterPoint) ....DirectionMove_L.append(rs.SurfaceNormal(i,SurfaceUV)) MirrorMatrix_L = [] for srfIN in range(len(ReflectSrf)): ....MirrorMatrix_L.append(rs.XformMirror(SrfCenter_L[srfIN] , ....DirectionMove_L[srfIN])) #DEFINING MIRRORED SORCE POINTS UNTIL INFINITE ORDER def graftlist(List): ....MainList = [] ....Void = [] ....MainList.append(Void) ....GraftList = [] ....for i in range (len(MainList)): ........for j in List: ............Sub = [] ............Sub.append(j) ............GraftList.append(Sub) ....return (GraftList) SrcPtsGraft = graftlist(SrcPts) ObjList = [] ObjList.append(SrcPtsGraft) def RecursiveMirror(SrcPtsGraft,gens): ....Macro = [] ....for i in range (len(SrcPts)): ........List = [] ........for j in range (len(SrcPtsGraft[0])): ............for k in range(len(ReflectSrf)): ................List.append(rs.TransformObjects(SrcPtsGraft[i][j], ................MirrorMatrix_L[k],True)[0]) ........Macro.append(List) ....if gens != 0: ........ObjList.append(Macro) ....if gens > 0: ........RecursiveMirror(Macro,gens-1) ....return(ObjList) Nmax = max(n) mSrcN_full = RecursiveMirror(SrcPtsGraft, Nmax ) #REMOVE FROM MIRRORED SOURCE POINTS LIST ALL DUPLICATES def PointsConversion(coordinate): ....Converted = [] ....for i in range (len(mSrcN_full)): ........Csub1 = [] ........for j in range (len(SrcPts)): ............Csub2 =[] ............for k in range (len(mSrcN_full[i][j])): ................Csub2.append(round(rs.PointCoordinates(mSrcN_full[i] ................[j][k])[coordinate],2)) ............Csub1.append(Csub2) ........Converted.append(Csub1) ....return(Converted) mSrcN_x = PointsConversion(0) mSrcN_y = PointsConversion(1) mSrcN_z = PointsConversion(2) def RecursiveCull(mSrcN_full,gens,empty): ....if Nmax >= 2: ........mSrcN = [] ........for j in range (len(SrcPts)): ............SubM1 = [] ............for k in range (len(mSrcN_full[gens][0])): ................if gens >= 2: ................if ((round((rs.PointCoordinates(mSrcN_full[gens] ................[j][k])[0]),2) in (mSrcN_x[(gens-2)][j])) ................and(round((rs.PointCoordinates(mSrcN_full[gens] ................[j][k])[1]),2) in (mSrcN_y[(gens-2)][j])) ................and(round((rs.PointCoordinates(mSrcN_full[gens] ................[j][k])[2]),2) in (mSrcN_z[(gens-2)][j]))): ....................SubM1.append(None) ................else: ....................SubM1.append(mSrcN_full[gens][j][k]) ............mSrcN.append(SubM1) ........empty.insert(0,mSrcN) #Ordine n ........if gens > 2: ............RecursiveCull(mSrcN_full,gens-1,empty) ........return(empty) ....elif Nmax == 1: ........empty.append(mSrcN_full[0]) ........empty.append(mSrcN_full[1]) ........return(empty) ....else: ........empty.append(mSrcN_full[0]) ........return(empty) empty = [] mSrcN = (RecursiveCull(mSrcN_full,Nmax,empty)) if Nmax >=2: ....mSrcN.insert(0,mSrcN_full[1]) ....mSrcN.insert(0,mSrcN_full[0]) #FINDING INTERSECTION PTS AT ORDER N def CodeExecution (n): ....#1 FAKE RAYS ORDER N ....fRays = [] ....for i in range(len(TgtPts)): ........fRay_Sub = [] ........for j in range(len(SrcPts)): ............fRay_Sub2 = [] ............for k in range(len(mSrcN[n][0])): ................if mSrcN[n][j][k] != None: ....................fRay_Sub2.append(rs.AddLine(mSrcN[n][j][k], ....................TgtPts[i])) ................else: ....................fRay_Sub2.append(None) ............fRay_Sub.append(fRay_Sub2) ........fRays.append(fRay_Sub) ....#2 INTERSECTION ORDER N ....ReflectSrf_t = [] ....for i in range (int(len(ReflectSrf)**(n)/len(ReflectSrf))): ........for Srf in ReflectSrf: ............ReflectSrf_t.append(Srf) ....#per n = 3 appende 36 volte la lista di 6 per ramo di src ....Intersection = [] ....for i in range (len(TgtPts)): ........sub1 = [] ........for j in range (len(SrcPts)): ............sub2 = [] ............for w in range(len(ReflectSrf_t)): ................if fRays[i][j][w] != None: ....................Int = rs.CurveBrepIntersect(fRays[i][j][w], ....................ReflectSrf_t[w]) ................else: ....................Int = None ................if Int is not None: ....................sub2.append(Int[1][0]) ................else: ....................sub2.append(None) ............sub1.append(sub2) ........Intersection.append(sub1) #FINDING INTERSECTION PTS FROM ORDER N-1 RECURSION ....def RecursiveIntersection (IntPts, gens, IntList): ........if n != 1 : ............fRayN = [] ............for i in range (len(TgtPts)): ................sub1 = [] ................for j in range (len(SrcPts)): ....................sub2 = [] ....................for k in range (len(mSrcN[gens-1][0])): ........................h = k * int((len(Intersection[0][0]))/ ........................(len(mSrcN[gens-1][0]))) ........................for x in range(int((len(Intersection[0][0]))/ ........................(len(mSrcN[gens-1][0])))): ............................if (IntPts [i][j][x + h]) and ............................(mSrcN[gens-1][j][k]) != None: ................................sub2.append(rs.AddLine(IntPts[i][j] ................................[x + h],mSrcN[gens-1][j][k])) ............................else: ................................sub2.append(None) ....................sub1.append(sub2) ................fRayN.append(sub1) ............ReflectSrf_p = [] ............for i in range (((int((len(mSrcN[gens-1][0]))/ ............(len(ReflectSrf)))))): ................for Srf in ReflectSrf: ....................for j in range (int((len(IntPts[0][0]))/ ....................(len(mSrcN[gens-1][0])))): ........................ReflectSrf_p.append(Srf) ............Pt = [] ............for i in range (len(TgtPts)): ................sub1 = [] ................for j in range (len(SrcPts)): ....................sub2 = [] ....................for k in range(len(ReflectSrf_p)): ........................if fRayN[i][j][k] is not None: ............................Int = rs.CurveBrepIntersect(fRayN[i] ............................[j][k],ReflectSrf_p[k]) ........................else: ............................Int = None ........................if Int is not None: ............................sub2.append(Int[1][0]) ........................else: ............................sub2.append(None) ....................sub1.append(sub2) ................Pt.append(sub1) ............IntList.append(Pt) ........if gens == n: ............IntList.insert(0,Intersection) ........if gens > 2: ............RecursiveIntersection (Pt, gens-1, IntList) ........return(IntList) .... ....IntList = [] ....RecInt = RecursiveIntersection(Intersection, n, IntList) #DRAW POLYRAYS ....RList = [] ....for i in range (len(TgtPts)): ........Rsub1 = [] ........for j in range (len(SrcPts)): ............Rsub2 = [] ............for k in range (len(ReflectSrf)**n): ................Rsub3 = [] ................for w in range (len(RecInt)): ....................Rsub3.append(RecInt[w][i][j][k]) ................Rsub2.append(Rsub3) ............Rsub1.append(Rsub2) ........RList.append(Rsub1) ....for i in range (len(TgtPts)): ........for j in range (len(SrcPts)): ............for k in range (len(RList[0][0])): ................RList[i][j][k].insert(0,TgtPts[i]) ....................RList[i][j][k].append(SrcPts[j]) ....polylines = [] ....for i in range (len(TgtPts)): ........Plsub1 = [] ........for j in range (len(SrcPts)): ............Plsub2 = [] ........for k in range (len(RList[0][0])): ............if (None in RList[i][j][k]) == True : ................Plsub2.append(None) ............else: ................Plsub2.append(rs.AddPolyline(RList[i][j][k])) ........Plsub1.append(Plsub2) ....polylines.append(Plsub1) #OBSTACLE CHECK ....#1 FIND SEGMENTS ....SegmentsList = [] ....for i in range (len(TgtPts)): ........SLsub1 = [] ........for j in range (len(SrcPts)): ............SLsub2 = [] ............for k in range (len(polylines[0][0])): ................if polylines[i][j][k] != None: ....................SLsub2.append(rs.ExplodeCurves(polylines[i] ....................[j][k])) ................else: ....................SLsub2.append(None) ............SLsub1.append(SLsub2) ........SegmentsList.append(SLsub1) ....#2 FIND INTERSECTION COUNT LIST ....SegmentIntlist = [] ....for i in range (len(TgtPts)): ........SILsub1 = [] ........for j in range (len(SrcPts)): ............SILsub2 = [] ............for k in range (len(polylines[0][0])): ................SILsub3 = [] ................for w in range (n+1): ....................for x in range (len(ReflectSrf)): ........................if SegmentsList[i][j][k] is not None: ............................Int = rs.CurveBrepIntersect ............................(SegmentsList[i][j][k][w],ReflectSrf[x]) ........................else: ............................Int = None ........................if Int is not None: ............................SILsub3.append(Int[1][0]) ........................else: ............................SILsub3.append(None) ................SILsub2.append(len(SILsub3) - SILsub3.count(None)) ............SILsub1.append(SILsub2) ........SegmentIntlist.append(SILsub1) ....#3 BUILD NEW POLYLINES WITH NEW CONDITION ....polyrays = [] ....for i in range (len(TgtPts)): ........Prsub1 = [] ........for j in range (len(SrcPts)): ............Prsub2 = [] ............for k in range (len(RList[0][0])): ................if (SegmentIntlist[i][j][k]) > (2+2*(n-1)) ................or (None in RList[i][j][k]) == True: ....................Prsub2.append(None) ................else: ....................Prsub2.append(rs.AddPolyline(RList[i][j][k])) ............Prsub1.append(Prsub2) ........polyrays.append(Prsub1) #CALCULATE SPL AND TIME ....time = [] ....SPL = [] ....for i in range(len(TgtPts)): ........time1 = [] ........SPL1 = [] ........for j in range(len(SrcPts)): ............time2 = [] ............SPL2 = [] ............for h in range(len(RList[0][0])): ................if polyrays[i][j][h] != None: ....................time2.append((rs.CurveLength ....................(polyrays[i][j][h]))/343) ....................SPL2.append((111-(20*math.log10 ....................(rs.CurveLength(polyrays[i] ....................[j][h])-1))-11)*(r**n)) ................else: ....................time2.append(None) ....................SPL2.append(None) ............time1.append(time2) ............SPL1.append(SPL2) ........time.append(time1) ........SPL.append(SPL1) ....return (SPL,polyrays) if Compute == True: ....FINAL = [] ....for i in range (len(n)): ........FINAL.append(CodeExecution(n[i])) ....RAYS = [] ....for i in range (len(n)): ........SPL.append(FINAL[i][0]) ........RAYS.append(FINAL[i][1]) ....a = SPL ....b = RAYS Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application
SOURCES: 1 TARGETS: 25 REFLECTIVE SURFACES: 6 PROCESSING CORE - RAYS SHOOTING Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application
BOUNCES: 0 POTENTIAL RAYS: 25 TOTAL RAYS: 25 min LENGHT: 6,56 m SOURCES: 1 TARGETS: 25 REFLECTIVE SURFACES: 6 PROCESSING CORE - RAYS SHOOTING Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application
BOUNCES: 1 POTENTIAL RAYS: 150 TOTAL RAYS: 98 min LENGHT: 7,42 m SOURCES: 1 TARGETS: 25 REFLECTIVE SURFACES: 6 PROCESSING CORE - RAYS SHOOTING Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application
BOUNCES: 2 POTENTIAL RAYS: 900 TOTAL RAYS: 103 min LENGHT: 10,25 m SOURCES: 1 TARGETS: 25 REFLECTIVE SURFACES: 6 PROCESSING CORE - RAYS SHOOTING Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application
BOUNCES: 3 POTENTIAL RAYS: 5400 TOTAL RAYS: 154 min LENGHT: 11,22 m SOURCES: 1 TARGETS: 25 REFLECTIVE SURFACES: 6 PROCESSING CORE - RAYS SHOOTING Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application
d =14 m SPL[dB] = Lw - 20log10 (d) - 11 PROCESSING CORE - SPL CALCULATION Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application
SPL COMBINATION Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application
SPL COMBINATION DIRECT SOUND LEVELS TOTAL SOUND LEVELS = 10^DS/10 +10^RS/10 REFLECTED SOUND LEVELS Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application
SPL COMBINATION 70 75 80 85 90 95 100 [dB] DIRECT SOUND LEVELS TOTAL SOUND LEVELS = 10^DS/10 +10^RS/10 REFLECTED SOUND LEVELS Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application
Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application THE OPTIMIZATION PROCESS
Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application The Morphogenetic Process DEFINITION OF DESIGN VARIBALES INPUT SYSTEM INDIVIDUAL SELECTION RESULTING INDIVIDUALS CROSSOVER MUTATION NEW POPULATION GEOMETRY FITNESS ACOUSTIC SIMULATION PROCESSING COREEVOLUTIONARY-BASED OPTIMIZATION REPRESENTATION OF THE ACOUSTIC SHELL OUTPUT SYSTEM RANDOM GENERATION OF THE 1ST POPULATION
Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application OPTIMIZATION 1 SOURCE TARGETS
Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application OPTIMIZATION 1 SOURCE TARGETS DMIN = 1.5M
Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application OPTIMIZATION 1 70 75 80 85 90 95 100 [dB] GENERATIONS SPL SUM = 11509.90 dB SPL SUM = 11623.23 dB SPL SUM = 11700.00 dB SPL SUM = 11727.82 dB SPL SUM = 11738.34 dB 51 15 30 50
Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application OPTIMIZATION 1 70 75 80 85 90 95 100 [dB] GENERATIONS SPL SUM = 11738.34 dB 50 INEFFICIENTPANELS RED DOTS = BOUNCING POINTS
Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application OPTIMIZATION 2 70 75 80 85 90 95 100 [dB] GENERATIONS SPL SUM = 11522.07 dB SPL SUM = 11660.27 dB SPL SUM = 11880.88 dB SPL SUM = 11953.26 dB SPL SUM = 12022.27 dB 51 15 30 50
Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application OPTIMIZATION 2 70 75 80 85 90 95 100 [dB] GENERATIONS SPL SUM = 12022.27 dB 50
Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application OPTIMIZATION 3 SOURCES TARGETS
Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application OPTIMIZATION 3 70 75 80 85 90 95 100 [dB] GENERATIONS SPL SUM = 12176.96 dB SPL SUM = 12247.44 dB SPL SUM = 12479.16 dB SPL SUM = 12613.90 dB SPL SUM = 12626.06 dB 51 15 30 50
Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application OPTIMIZATION 3 70 75 80 85 90 95 100 [dB] GENERATIONS SPL SUM = 12626.06 dB 50 EXTENDED PANELS
3,6 11 1,6 2 0,6 0,4 ARCHITECTURAL SETTING METHOD APPLICATION Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application
18,66 A = 262m2 18,82 ARCHITECTURAL SETTING METHOD APPLICATION Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application
18,66 A = 262m2 18,82 ARCHITECTURAL SETTING METHOD APPLICATION Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application
OPTIMIZATION A - FITNESS FUNCTION RANDOM SHELL SPL MAP 1 x M * 100 N i if −= ∑= δ Where: - N is the total number of targets; - xi is SPL value on the ith target; - M is the Number of SPL Values smaller than 90dB FITNESS FUNCTION Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application
Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application
OPTIMIZATION A 70 75 80 85 90 95 100 [dB] GENERATIONS SPL SUM = 18070.97dB SPL SUM = 18297.18 dB SPL SUM = 18532.14 dB SPL SUM = 18577.21 dB SPL SUM = 18580.11 dB 51 15 30 80 Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application
OPTIMIZATION A 70 75 80 85 90 95 100 [dB] GENERATIONS SPL SUM = 18580.11 dB 80 8.00 m 4.30 m 4.40 m Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application
70 75 80 85 90 95 100 [dB] SOUNDPRESSURELEVEL[dB] DISTANCE [m] 80 82 84 86 88 90 92 94 96 98 100 102 0.5 2.4 4.3 6.2 8.1 10.0 12.0 13.9 15.8 17.7 ALLSOURCESSPLMAP BACKSOURCESSPLMAP MIDDLESOURCESSPLMAP FRONTSOURCESSPLMAP ALL OPTIMIZATION A - RESULT ANALYSIS Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application
70 75 80 85 90 95 100 [dB] SOUNDPRESSURELEVEL[dB] DISTANCE [m] 80 82 84 86 88 90 92 94 96 98 100 102 0.5 2.4 4.3 6.2 8.1 10.0 12.0 13.9 15.8 17.7 ALLSOURCESSPLMAP BACKSOURCESSPLMAP MIDDLESOURCESSPLMAP FRONTSOURCESSPLMAP ALL BACK MIDDLE FRONT OPTIMIZATION A - RESULT ANALYSIS Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application
70 75 80 85 90 95 100 [dB] SOUNDPRESSURELEVEL[dB] DISTANCE [m] 80 82 84 86 88 90 92 94 96 98 100 102 0.5 2.4 4.3 6.2 8.1 10.0 12.0 13.9 15.8 17.7 ALLSOURCESSPLMAP BACKSOURCESSPLMAP MIDDLESOURCESSPLMAP FRONTSOURCESSPLMAP ALL BACK MIDDLE FRONT CRITICAL DECAY OPTIMIZATION A - RESULT ANALYSIS Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application
Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application FORM FINDING - CILIA α 0° <α<60° DEFINE 1m TRANSLATION VECTOR FOR EACH SEGMENT1 EXTRUDE EACH SEGMENT AND BUILD NEW SURFACES2 ROTATE EACH SURFACE BY DIFFERENT ANGLES3
Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application FORM FINDING - CILIASOUNDPRESSURELEVEL[dB] DISTANCE [m] 80 82 84 86 88 90 92 94 96 98 100 102 0.5 2.4 4.3 6.2 8.1 10.0 12.0 13.9 15.8 17.7 FRONT SOURCES SPL MAP NO CILIA 2 1 )( 1 xx N N i if −= ∑= δ Where: - N is the total number of targets; - xi is SPL value on the ith target; - x is the arithmetic mean of the xi ; - 2 )( xxis −=σ is the measure of the variance of the data structure and represents the simple spread relative to the mean value. FITNESS FUNCTION
Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application FORM FINDING - CILIASOUNDPRESSURELEVEL[dB] DISTANCE [m] 80 82 84 86 88 90 92 94 96 98 100 102 0.5 2.4 4.3 6.2 8.1 10.0 12.0 13.9 15.8 17.7 FRONT SOURCES SPL MAP NO CILIA CILIA OPTIMIZATION RESULT
Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application FORM FINDING - CILIASOUNDPRESSURELEVEL[dB] DISTANCE [m] 80 82 84 86 88 90 92 94 96 98 100 102 0.5 2.4 4.3 6.2 8.1 10.0 12.0 13.9 15.8 17.7 FRONT SOURCES SPL MAP NO CILIA CILIA OPTIMIZATION RESULT OPTIMIZATED TARGETS
Lucci Mirra Pignatelli - Laurea 08.06_LD
Lucci Mirra Pignatelli - Laurea 08.06_LD
Lucci Mirra Pignatelli - Laurea 08.06_LD
Lucci Mirra Pignatelli - Laurea 08.06_LD
Lucci Mirra Pignatelli - Laurea 08.06_LD
Lucci Mirra Pignatelli - Laurea 08.06_LD
Lucci Mirra Pignatelli - Laurea 08.06_LD
Lucci Mirra Pignatelli - Laurea 08.06_LD
Lucci Mirra Pignatelli - Laurea 08.06_LD
Lucci Mirra Pignatelli - Laurea 08.06_LD
Lucci Mirra Pignatelli - Laurea 08.06_LD
Lucci Mirra Pignatelli - Laurea 08.06_LD
Lucci Mirra Pignatelli - Laurea 08.06_LD
Lucci Mirra Pignatelli - Laurea 08.06_LD
Lucci Mirra Pignatelli - Laurea 08.06_LD
Lucci Mirra Pignatelli - Laurea 08.06_LD
Lucci Mirra Pignatelli - Laurea 08.06_LD
Lucci Mirra Pignatelli - Laurea 08.06_LD
Lucci Mirra Pignatelli - Laurea 08.06_LD
Lucci Mirra Pignatelli - Laurea 08.06_LD
Lucci Mirra Pignatelli - Laurea 08.06_LD
Lucci Mirra Pignatelli - Laurea 08.06_LD
Lucci Mirra Pignatelli - Laurea 08.06_LD
Lucci Mirra Pignatelli - Laurea 08.06_LD
Lucci Mirra Pignatelli - Laurea 08.06_LD
Lucci Mirra Pignatelli - Laurea 08.06_LD
Lucci Mirra Pignatelli - Laurea 08.06_LD
Lucci Mirra Pignatelli - Laurea 08.06_LD
Lucci Mirra Pignatelli - Laurea 08.06_LD
Lucci Mirra Pignatelli - Laurea 08.06_LD
Lucci Mirra Pignatelli - Laurea 08.06_LD
Lucci Mirra Pignatelli - Laurea 08.06_LD
Lucci Mirra Pignatelli - Laurea 08.06_LD
Lucci Mirra Pignatelli - Laurea 08.06_LD
Lucci Mirra Pignatelli - Laurea 08.06_LD

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Lucci Mirra Pignatelli - Laurea 08.06_LD

  • 1. Computational Morphogenesis and Fabrication of an Acoustic Shell for Outdoor Chamber Music Università degli Studi di Napoli Federico II Dipartimento di Architettura Gabriella Lucci Gabriele Mirra Eduardo Pignatelli Relatore Sergio Pone Correlatori Alberto Pugnale Serafino Di Rosario Sofia Colabella Bianca Parenti Tesi di Laurea
  • 2. 1 2 IDENTIFYING THEMATIC AREA STATE OF THE ART METHODOLOGICAL HYPOTESIS EXPERIMENTAL APPLICATION THE ESSENCE OF SOUND WAVES THE PROBLEMS OF AN OPEN AIR CHAMBER MUSIC CONCERT 3DESIGNING AN ACOUSTIC CHAMBER FOR OUTDOOR .THE SOUND WAVE .SOUND PROPAGATION .GEOMETRICAL ACOUSTICS .FREE FIELD .REVERBERANT FIELD ACCORDING TO MUSICIANS .ACCORDING TO AUDIENCE .WHAT ARE GOOD ACOUSTICS .ACTIVE ACOUSTIC SYSTEMS .PASSIVE ACOUSTIC SYSTEMS 1 2 EXAMPLES OF SOLVED PROBLEMS 3RESONANT STRING SHELL - RES .THE RESEARCH PROJECT .RESONANT STRING SHELL 1.0 .RESONANT STRING SHELL 2.0 .RESONANT STRING SHELL 3.0 .RESEARCH STATE AND FUTURE PURPOSES .SOUNDFORMS .SIEBEIN ASSOCIATES .SUONOVIVO .HOLLYWOOD BOWL SHELL .SPECIALITY THEATRE .AALBORG ACOUSTIC PAVILION 1 2 FROM DIGITAL MODEL TO REAL MODEL STRUCTURAL DESIGN PROCESS .HOW TO REALIZE COMPLEX FORMS BUILDING SITE AS AUTOMATED INDUSTRY HIGHTECH DESIGN/LOWTECH CONSTRUCTION .PREREQUISITES .CONCEPT .EXPLORING SOULTIONS TENSEGRITY SHELL SELF BEARING SHELL RECIPROCAL STRUCTURE CABLE-STAYED STRUCTURE 3ENGINEERING THE STRUCTURE .EXECUTIVE PROJECT OPTIMIZATION OF THE CUTTING PROCESS FROM TRUSS TO BOX BEAM KNOTS DEFINITION 4SIMPLIFYING CONSTRUCTION SITE PROGRAMMING INSTALLATION PHASES CONSTRUCTION MACHINERY’S DESIGN 3THE OPTIMIZATION PROCESS 1COMPUTATIONAL MORPHOGENESIS .WHAT IS COMPUTATIONAL MORPH .THE MORPHOGENETIC PROCESS 2RES 4.0 - THE ALGORITHM .ALGORITHM OVERVIEW .INPUTS .COMPLEX FORMS FROM SIMPLE ELEMENTS .DESIGN VARIABLES (RES ANALISYS) .RES 4.0 GENOME (VARIABLE AND STABLE) .INPUT POPULATION .MODELING THE NATURE OF SOUND THE IMAGE SOURCE METHOD THE RAYTRACING METHOD .THE PROCESSING CORE THE CODE .USEFUL OUTPUTS SOUND PRESSURE LEVEL .OPTIMIZATION AS AWARENESS TOOL FIRST DOMAIN SETTINGS SECOND DOMAIN SETTINGS THIRD DOMAIN SETTINGS .ARCHITHECTURAL SETTING PALAZZO GRAVINA THE MUSICIANS THE AUDIENCE .FINAL OPTIMIZATION .RESULTS ANALYSIS .CILIA SYSTEM THE EVOLUTION OF DESIGN METHODS .FROM ANALOG DESIGN TO PARAMETRIC APPROACH .A SIGNIFICANT EXAMPLE FROM ANALOG TO DIGITAL DESIGN
  • 3. Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application T H E E S S E N C E O F S O U N D W A V E S
  • 4. Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application f frequency = c / λ T cycle = 1 / fc sound speed in air = 343 m/s λ wavelenght x[m] y [m] a
  • 5. Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application WAVEFRONT SOURCE FROM ACOUSTIC WAVE TO ACOUSTIC RAY
  • 6. Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application 2 4 r W S W I π == 1120log(rLL WI )−−=SOUND INTENSITY SOUND PRESSURE LEVEL r a a a a a a a a a a a a a a 2r 3r
  • 7. Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application FFFFFF DIREC T R AY REFLEC TED R AY SOURC E IMA GE SOU RCE R E F L E C T I V E S U R F A C E ACOUSTIC REFLECTION MODEL θ1 θ2 SNELL LAW : θ1 = θ2
  • 8. Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application Free Field
  • 9. Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application Reverberant Field
  • 10. Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application The problems of an Open Air Chamber Music Concert
  • 11. Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application
  • 12. Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application THE PROBLEMS ACCORDING TO MUSICIANS MUSIC PERCEPTION ACOUSTIC PARAMETER MUSICIANS CANNOT HEAR EACH OTHERS ENSEMBLE STAGE SUPPORT
  • 13. Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application THE PROBLEMS ACCORDING TO MUSICIANS MUSIC PERCEPTION ACOUSTIC PARAMETER MUSICIANS CANNOT HEAR EACH OTHERS ENSEMBLE STAGE SUPPORT EARLY DECAY OF SOUND FOR CHAMBER MUSIC SUBJECTIVE REVERB EARLY DECAY TIME
  • 14. Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application LOW SOUND INTENSITY NO MUSIC SOUND PRESSURE LEVEL THE PROBLEMS ACCORDING TO AUDIENCE MUSIC PERCEPTION ACOUSTIC PARAMETER
  • 15. Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application LOW SOUND INTENSITY NO MUSIC SOUND PRESSURE LEVEL THE PROBLEMS ACCORDING TO AUDIENCE MUSIC PERCEPTION ACOUSTIC PARAMETER SPATIALIZATION INTERAURAL CROSS CORRELATION NON-UNIFORM SOUND FIELD
  • 16. Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application What Are Good Acoustics? [...]the Composition, the Conductor, the Orchestra, and the Hall . It is vital to distinguish among these ingredients and to understand what each contributes to the totality. L.L. Beranek - Concert Hall and Opera Houses, 2004
  • 17. Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application Designing an Acoustic Chamber for Outdoor Active Acoustic Systems Passive Acoustic Systems
  • 18. Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application Passive Acoustic Systems Designing an Acoustic Chamber for Outdoor Active Acoustic Systems
  • 19. Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application Examples of Solved Problems
  • 20. Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application Soundforms_Arup THE REGULAR SIZE (21m x 14m) -75 mq of platform area -10m wide at the front -8m wide at the back -7m deep The REGULAR is acoustically optimized for 18 – 23 musicians THE MEDIUM SIZE (17m x 27m) -98 mq of platform area -13m wide at the front -8.5m wide at the back -9m deep The MEDIUM is acoustically optimized for 36 – 50 musicians THE LARGE SIZE (20m x 33.5m) -231 mq -16m wide at the front -10.4m wide at the back -11.2m deep The LARGE is acoustically optimized for 75 – 100 musicians Examples of Solved Problems
  • 21. Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application Acoustical Design of the Band Shell or Enclosure • Design and shape the ceiling and walls to provide natural acoustic projection of sounds from the enclosure to the audience • Integrate sound system components to provide weather protection a well as enhance acoustical directivity for loudspeakers • Provide a network of wall and ceiling panels to provide sound reflections so performers on stage can hear each other and play in ensemble Containment of Sounds within Facility to meet Noise Ordinance Requirements at Facility Perimeter • Natural barriers and partial enclosures such as walls, berms, hills, planters, landscape elements, etc. as part of architectural design of facility • Location and directionality of loudspeakers to minimize sound spills out of audience area • Use of a greater number of smaller loudspeakers or digitally con- trolled line array speakers with controlled directional patterns to minimize sound spills outside of audience area • Automatic control of volume and frequency response through DSP (digital signal processing) controllers Siebein Associates Shell Examples of Solved Problems
  • 22. Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application Outdoor Panels_SuonoVivo the Suono Vivo outdoor acoustic chamber consists of panels in Lexan Polycarbonate featuring outstanding sound reflectionproperties. Has a modular structure that adapts to the stage needs of large orchestras and also individual soloists. It is quickly assembled and disassembled. Is weatherproof. Examples of Solved Problems
  • 23. Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application The ACOUSTIC REFLECTOR has aproximately the same area as the orchestra risers and is positioned roughly 9.14 m above the orchestra to provide the critical 30-msec dispersed relfections; in its final form, the reflector asumes the shape of a longitudinally positioned ellipse, inclined about 10 degrees above orizontal. The stage canopy is composed of a tennis-court-sized aluminium and fiberglass ring spanned by folding, translucent polycarbonate panels. Hollywood Bowl Shell Examples of Solved Problems
  • 24. Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application Examples of Solved Problems Inflatable Shell_speciality Theatre Small Shell Depth: 4 m Height: 4 m Width: 8 m Footprint Area: 32 mq Shipping Weight: 166 kg Medium Shell Depth: 6 m Height: 6 m Width: 13 m Footprint Area: 78 mq Shipping Weight: 266 kg Large Shell Depth: 8 m Height: 8 m Width: 16 m Footprint Area: 128 mq Shipping Weight: 359 kg 8 m 4 m 4 m 13 m 6 m 6 m 16 m 8 m 8 m
  • 25. Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application Aalborg Acoustic Pavilion The Acoustic Pavilion was designed as a stage for electronic and experimental music. It is created from evolutionary algorithms that search the opti- mum form and reflective environment for electronic music within the context of Aalborg’s harbour front. It encloses the musical space from the city and opens to the water aiming at creating an intimate sound based milieu within an open public realm. The actu- al design process was based on numerous experiments concerned with form, materials, structure, and acoustics that aided by com- putational algorithms generated the final shape as well as the pointy wood components. Examples of Solved Problems
  • 26. Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application Analog Design vs Parametric Approach
  • 27. Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application REsonant String shell A significant example of evolution from analog to digital design
  • 28. Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application ReS 1.0 Design Methods • Totally Analog Process Acoustic Devices • Main Shell • Array System • Cilia System • Reflective Bottom
  • 29. Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application ReS 1.0Acoustic Performance
  • 30. Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application ReS 2.0 Design Methods • First Digital Design Process • Restricted Form Improvement Process • Panel Orientation Optimized by COVERING AREA Acoustic Devices • Main Shell • Array System • Cilia System • Reflective Bottom
  • 31. Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application ReS 2.0 Acoustic Performance
  • 32. Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application ReS 1.0 Design Methods ReS 3.0 Design Methods • Digital Design Process • Restricted Form Improvement Process • Customizable According to Musicians Setups • Computational Improvement of the Form by NUMBER OF REFLECTIONS Acoustic Devices • Main Shell • Customizable Array System • Elongated Cilia System • Diffusive Bottom
  • 33. Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application ReS 3.0Acoustic Performance
  • 34. Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application Research State And Future Purposes
  • 35. Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application What is Computational Morphogenesis? The Morphogenetic Process involves: the Construction, the Analysis and the Evaluation of a certain Topological Space, Designed for one or more Objectives. It follows a recursive paths, performing a continous Improvement of the form: 1. Defining the most performing configuration of the space 2. Providing a landscape of solutions for the Awareness of the problem
  • 36. Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application The Morphogenetic Process DEFINITION OF DESIGN VARIBALES INPUT SYSTEM INDIVIDUAL SELECTION RESULTING INDIVIDUALS CROSSOVER MUTATION NEW POPULATION GEOMETRY FITNESS ACOUSTIC SIMULATION PROCESSING COREEVOLUTIONARY-BASED OPTIMIZATION REPRESENTATION OF THE ACOUSTIC SHELL OUTPUT SYSTEM RANDOM GENERATION OF THE 1ST POPULATION
  • 37. Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application Algorithm Overview Input Processing Core Output
  • 38. Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application INPUT VARIABLE DESIGN RES 3.0 ANALYSIS 0PHENOTYPE LAST RES 2THE SOURCE GEOMETRY THE SHAPE 3THE SOURCE GEOMETRY PANELIZATION 4THE SOURCE GEOMETRY PROPORTIONS 5THE SOURCE GEOMETRY CURVATURE 6THE SOURCE GEOMETRY DEPTH 1RINGS THE SMOOTHNESS 0PHENOTYPE LAST RES
  • 39. Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application INPUT VARIABLE DESIGN RES 3.0 ANALYSIS 0PHENOTYPE LAST RES 2THE SOURCE GEOMETRY THE SHAPE 3THE SOURCE GEOMETRY PANELIZATION 4THE SOURCE GEOMETRY PROPORTIONS 5THE SOURCE GEOMETRY CURVATURE 6THE SOURCE GEOMETRY DEPTH 1RINGS THE SMOOTHNESS 0PHENOTYPE LAST RES 1st ring1st ring 1RINGS THE SMOOTHNESS
  • 40. Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application INPUT VARIABLE DESIGN RES 3.0 ANALYSIS 0PHENOTYPE LAST RES 2THE SOURCE GEOMETRY THE SHAPE 3THE SOURCE GEOMETRY PANELIZATION 4THE SOURCE GEOMETRY PROPORTIONS 5THE SOURCE GEOMETRY CURVATURE 6THE SOURCE GEOMETRY DEPTH 1RINGS THE SMOOTHNESS 0PHENOTYPE LAST RES 1st ring1st ring 1RINGS THE SMOOTHNESS 2nd ring2nd ring 1st ring1st ring
  • 41. Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application INPUT VARIABLE DESIGN RES 3.0 ANALYSIS 0PHENOTYPE LAST RES 2THE SOURCE GEOMETRY THE SHAPE 3THE SOURCE GEOMETRY PANELIZATION 4THE SOURCE GEOMETRY PROPORTIONS 5THE SOURCE GEOMETRY CURVATURE 6THE SOURCE GEOMETRY DEPTH 1RINGS THE SMOOTHNESS 0PHENOTYPE LAST RES 1st ring1st ring 1RINGS THE SMOOTHNESS 2nd ring2nd ring 1st ring1st ring 3rd ring3rd ring 2nd ring2nd ring 1st ring1st ring
  • 42. Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application INPUT VARIABLE DESIGN RES 3.0 ANALYSIS 0PHENOTYPE LAST RES 2THE SOURCE GEOMETRY THE SHAPE 3THE SOURCE GEOMETRY PANELIZATION 4THE SOURCE GEOMETRY PROPORTIONS 5THE SOURCE GEOMETRY CURVATURE 6THE SOURCE GEOMETRY DEPTH 1RINGS THE SMOOTHNESS 3rd ring3rd ring 2nd ring2nd ring 1st ring1st ring
  • 43. Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application INPUT VARIABLE DESIGN RES 3.0 ANALYSIS 0PHENOTYPE LAST RES 2THE SOURCE GEOMETRY THE SHAPE 3THE SOURCE GEOMETRY PANELIZATION 4THE SOURCE GEOMETRY PROPORTIONS 5THE SOURCE GEOMETRY CURVATURE 6THE SOURCE GEOMETRY DEPTH 1RINGS THE SMOOTHNESS 3rd ring3rd ring 2nd ring2nd ring 1st ring1st ring 0PHENOTYPE LAST RES 2THE SOURCE GEOMETRY THE SHAPE 1RINGS THE SMOOTHNESS
  • 44. Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application INPUT VARIABLE DESIGN RES 3.0 ANALYSIS 0PHENOTYPE LAST RES 2THE SOURCE GEOMETRY THE SHAPE 3THE SOURCE GEOMETRY PANELIZATION 4THE SOURCE GEOMETRY PROPORTIONS 5THE SOURCE GEOMETRY CURVATURE 6THE SOURCE GEOMETRY DEPTH 1RINGS THE SMOOTHNESS 0PHENOTYPE LAST RES 2THE SOURCE GEOMETRY THE SHAPE 1RINGS THE SMOOTHNESS
  • 45. Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application INPUT VARIABLE DESIGN RES 3.0 ANALYSIS 0PHENOTYPE LAST RES 2THE SOURCE GEOMETRY THE SHAPE 3THE SOURCE GEOMETRY PANELIZATION 4THE SOURCE GEOMETRY PROPORTIONS 5THE SOURCE GEOMETRY CURVATURE 6THE SOURCE GEOMETRY DEPTH 1RINGS THE SMOOTHNESS 0PHENOTYPE LAST RES 2THE SOURCE GEOMETRY THE SHAPE 1RINGS THE SMOOTHNESS
  • 46. Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application INPUT VARIABLE DESIGN RES 3.0 ANALYSIS 0PHENOTYPE LAST RES 2THE SOURCE GEOMETRY THE SHAPE 3THE SOURCE GEOMETRY PANELIZATION 4THE SOURCE GEOMETRY PROPORTIONS 5THE SOURCE GEOMETRY CURVATURE 6THE SOURCE GEOMETRY DEPTH 1RINGS THE SMOOTHNESS 0PHENOTYPE LAST RES 2THE SOURCE GEOMETRY THE SHAPE 1RINGS THE SMOOTHNESS 3THE SOURCE GEOMETRY PANELIZATION 0PHENOTYPE LAST RES 2THE SOURCE GEOMETRY THE SHAPE 1RINGS THE SMOOTHNESS
  • 47. Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application INPUT VARIABLE DESIGN RES 3.0 ANALYSIS 0PHENOTYPE LAST RES 2THE SOURCE GEOMETRY THE SHAPE 3THE SOURCE GEOMETRY PANELIZATION 4THE SOURCE GEOMETRY PROPORTIONS 5THE SOURCE GEOMETRY CURVATURE 6THE SOURCE GEOMETRY DEPTH 1RINGS THE SMOOTHNESS 3THE SOURCE GEOMETRY PANELIZATION 0PHENOTYPE LAST RES 2THE SOURCE GEOMETRY THE SHAPE 1RINGS THE SMOOTHNESS
  • 48. Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application INPUT VARIABLE DESIGN RES 3.0 ANALYSIS 0PHENOTYPE LAST RES 2THE SOURCE GEOMETRY THE SHAPE 3THE SOURCE GEOMETRY PANELIZATION 4THE SOURCE GEOMETRY PROPORTIONS 5THE SOURCE GEOMETRY CURVATURE 6THE SOURCE GEOMETRY DEPTH 1RINGS THE SMOOTHNESS
  • 49. Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application INPUT VARIABLE DESIGN RES 3.0 ANALYSIS 0PHENOTYPE LAST RES 2THE SOURCE GEOMETRY THE SHAPE 3THE SOURCE GEOMETRY PANELIZATION 4THE SOURCE GEOMETRY PROPORTIONS 5THE SOURCE GEOMETRY CURVATURE 6THE SOURCE GEOMETRY DEPTH 1RINGS THE SMOOTHNESS R1 R24THE SOURCE GEOMETRY PROPORTIONS 0PHENOTYPE LAST RES 2THE SOURCE GEOMETRY THE SHAPE 1RINGS THE SMOOTHNESS 3THE SOURCE GEOMETRY PANELIZATION
  • 50. Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application INPUT VARIABLE DESIGN RES 3.0 ANALYSIS 0PHENOTYPE LAST RES 2THE SOURCE GEOMETRY THE SHAPE 3THE SOURCE GEOMETRY PANELIZATION 4THE SOURCE GEOMETRY PROPORTIONS 5THE SOURCE GEOMETRY CURVATURE 6THE SOURCE GEOMETRY DEPTH 1RINGS THE SMOOTHNESS 5THE SOURCE GEOMETRY CURVATURE 0PHENOTYPE LAST RES 2THE SOURCE GEOMETRY THE SHAPE 3THE SOURCE GEOMETRY PANELIZATION 4THE SOURCE GEOMETRY PROPORTIONS 1RINGS THE SMOOTHNESS
  • 51. Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application INPUT VARIABLE DESIGN RES 3.0 ANALYSIS 0PHENOTYPE LAST RES 2THE SOURCE GEOMETRY THE SHAPE 3THE SOURCE GEOMETRY PANELIZATION 4THE SOURCE GEOMETRY PROPORTIONS 5THE SOURCE GEOMETRY CURVATURE 6THE SOURCE GEOMETRY DEPTH 1RINGS THE SMOOTHNESS 5THE SOURCE GEOMETRY CURVATURE 0PHENOTYPE LAST RES 2THE SOURCE GEOMETRY THE SHAPE 3THE SOURCE GEOMETRY PANELIZATION 4THE SOURCE GEOMETRY PROPORTIONS 1RINGS THE SMOOTHNESS
  • 52. Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application INPUT VARIABLE DESIGN RES 3.0 ANALYSIS 0PHENOTYPE LAST RES 2THE SOURCE GEOMETRY THE SHAPE 3THE SOURCE GEOMETRY PANELIZATION 4THE SOURCE GEOMETRY PROPORTIONS 5THE SOURCE GEOMETRY CURVATURE 6THE SOURCE GEOMETRY DEPTH 1RINGS THE SMOOTHNESS 0PHENOTYPE LAST RES 2THE SOURCE GEOMETRY THE SHAPE 3THE SOURCE GEOMETRY PANELIZATION 4THE SOURCE GEOMETRY PROPORTIONS 5THE SOURCE GEOMETRY CURVATURE 6THE SOURCE GEOMETRY DEPTH 1RINGS THE SMOOTHNESS
  • 53. Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application 2 1DEPTH RINGS 3RATIO 4RADIUS 5POSITION 6SCALE0 7SCALE1 8SCALE2 9SCALE3 10PANEL1 11PANEL2 INPUT VARIABLES DESIGN RES 4.0 GENOME
  • 54. Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application 2 1DEPTH RINGS 3RATIO 4RADIUS 5POSITION 6SCALE0 7SCALE1 8SCALE2 9SCALE3 10PANEL1 11PANEL2 INPUT VARIABLES DESIGN RES 4.0 GENOME 1DEPTH
  • 55. Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application 2 1DEPTH RINGS 3RATIO 4RADIUS 5POSITION 6SCALE0 7SCALE1 8SCALE2 9SCALE3 10PANEL1 11PANEL2 INPUT VARIABLES DESIGN RES 4.0 GENOME 2 1DEPTH RINGS
  • 56. Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application 2 1DEPTH RINGS 3RATIO 4RADIUS 5POSITION 6SCALE0 7SCALE1 8SCALE2 9SCALE3 10PANEL1 11PANEL2 INPUT VARIABLES DESIGN RES 4.0 GENOME 2 1DEPTH RINGS 3RATIO
  • 57. Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application 2 1DEPTH RINGS 3RATIO 4RADIUS 5POSITION 6SCALE0 7SCALE1 8SCALE2 9SCALE3 10PANEL1 11PANEL2 INPUT VARIABLES DESIGN RES 4.0 GENOME 2 1DEPTH RINGS 3RATIO 4RADIUS 5POSITION
  • 58. Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application 2 1DEPTH RINGS 3RATIO 4RADIUS 5POSITION 6SCALE0 7SCALE1 8SCALE2 9SCALE3 10PANEL1 11PANEL2 INPUT VARIABLES DESIGN RES 4.0 GENOME 2 1DEPTH RINGS 3RATIO 4RADIUS 5POSITION 6SCALE0 7SCALE1 8SCALE2 9SCALE3
  • 59. Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application 2 1DEPTH RINGS 3RATIO 4RADIUS 5POSITION 6SCALE0 7SCALE1 8SCALE2 9SCALE3 10PANEL1 11PANEL2 INPUT VARIABLES DESIGN RES 4.0 GENOME 2 1DEPTH RINGS 3RATIO 4RADIUS 5POSITION 6SCALE0 7SCALE1 8SCALE2 9SCALE3 10PANEL1 11PANEL2
  • 60. Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application Input Variables Design ReS 4.0 Topologic Space
  • 61. Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application Input Variables Design ReS 4.0 Topologic Space
  • 62. Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application Input Variables Design ReS 4.0 Topologic Space
  • 63. Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application Modelling the Physical Nature of Sound Propagation Models Alvar Aalto - Acoustic Studies for Viipuri Municipal Library
  • 64. Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application S A B C R 0DEFINE N ACOUSTIC RAYS: EX N = 10 2EXTEND UNTIL IT WILL INTERSECT A SURFACE 3MIRROR THE SOURCE ON SURFACE A 4DRAW A LINE BETWEEN THE MIRRORED SOURCE AND THE INTERSECTION POINT 5INTERSECT WITH THE NEXT SURFACE 6MIRROR THE MIRRORED SOURCE ON SURFACE C 7DRAW A LINE BETWEEN THE MIRRORED SOURCE AND THE INTERSECTION POINT 8INTERSECT WITH THE NEXT SURFACE NO INTERSECTION! 9REPEAT THE PROCESS FOR EACH RAY 1CHOOSE ONE ACOUSTIC RAY RAY TRACING METHOD
  • 65. Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application S A B C R 0DEFINE N ACOUSTIC RAYS: EX N = 100DEFINE N ACOUSTIC RAYS: EX N = 10 2EXTEND UNTIL IT WILL INTERSECT A SURFACE 3MIRROR THE SOURCE ON SURFACE A 4DRAW A LINE BETWEEN THE MIRRORED SOURCE AND THE INTERSECTION POINT 5INTERSECT WITH THE NEXT SURFACE 6MIRROR THE MIRRORED SOURCE ON SURFACE C 7DRAW A LINE BETWEEN THE MIRRORED SOURCE AND THE INTERSECTION POINT 8INTERSECT WITH THE NEXT SURFACE NO INTERSECTION! 9REPEAT THE PROCESS FOR EACH RAY 1CHOOSE ONE ACOUSTIC RAY RAY TRACING METHOD
  • 66. Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application S A B C R 1CHOOSE ONE ACOUSTIC RAY 0DEFINE N ACOUSTIC RAYS: EX N = 10 2EXTEND UNTIL IT WILL INTERSECT A SURFACE 3MIRROR THE SOURCE ON SURFACE A 4DRAW A LINE BETWEEN THE MIRRORED SOURCE AND THE INTERSECTION POINT 5INTERSECT WITH THE NEXT SURFACE 6MIRROR THE MIRRORED SOURCE ON SURFACE C 7DRAW A LINE BETWEEN THE MIRRORED SOURCE AND THE INTERSECTION POINT 8INTERSECT WITH THE NEXT SURFACE NO INTERSECTION! 9REPEAT THE PROCESS FOR EACH RAY 1CHOOSE ONE ACOUSTIC RAY RAY TRACING METHOD
  • 67. Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application S A B C R 2EXTEND UNTIL IT WILL INTERSECT A SURFACE 0DEFINE N ACOUSTIC RAYS: EX N = 10 2EXTEND UNTIL IT WILL INTERSECT A SURFACE 3MIRROR THE SOURCE ON SURFACE A 4DRAW A LINE BETWEEN THE MIRRORED SOURCE AND THE INTERSECTION POINT 5INTERSECT WITH THE NEXT SURFACE 6MIRROR THE MIRRORED SOURCE ON SURFACE C 7DRAW A LINE BETWEEN THE MIRRORED SOURCE AND THE INTERSECTION POINT 8INTERSECT WITH THE NEXT SURFACE NO INTERSECTION! 9REPEAT THE PROCESS FOR EACH RAY 1CHOOSE ONE ACOUSTIC RAY RAY TRACING METHOD
  • 68. Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application S A B C R m_Sa 3MIRROR THE SOURCE ON SURFACE A 0DEFINE N ACOUSTIC RAYS: EX N = 10 2EXTEND UNTIL IT WILL INTERSECT A SURFACE 3MIRROR THE SOURCE ON SURFACE A 4DRAW A LINE BETWEEN THE MIRRORED SOURCE AND THE INTERSECTION POINT 5INTERSECT WITH THE NEXT SURFACE 6MIRROR THE MIRRORED SOURCE ON SURFACE C 7DRAW A LINE BETWEEN THE MIRRORED SOURCE AND THE INTERSECTION POINT 8INTERSECT WITH THE NEXT SURFACE NO INTERSECTION! 9REPEAT THE PROCESS FOR EACH RAY 1CHOOSE ONE ACOUSTIC RAY RAY TRACING METHOD
  • 69. Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application S A B C R m_Sa 4DRAW A LINE BETWEEN THE MIRRORED SOURCE AND THE INTERSECTION POINT 0DEFINE N ACOUSTIC RAYS: EX N = 10 2EXTEND UNTIL IT WILL INTERSECT A SURFACE 3MIRROR THE SOURCE ON SURFACE A 4DRAW A LINE BETWEEN THE MIRRORED SOURCE AND THE INTERSECTION POINT 5INTERSECT WITH THE NEXT SURFACE 6MIRROR THE MIRRORED SOURCE ON SURFACE C 7DRAW A LINE BETWEEN THE MIRRORED SOURCE AND THE INTERSECTION POINT 8INTERSECT WITH THE NEXT SURFACE NO INTERSECTION! 9REPEAT THE PROCESS FOR EACH RAY 1CHOOSE ONE ACOUSTIC RAY RAY TRACING METHOD
  • 70. Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application S A B C R m_Sa 5INTERSECT WITH THE NEXT SURFACE 0DEFINE N ACOUSTIC RAYS: EX N = 10 2EXTEND UNTIL IT WILL INTERSECT A SURFACE 3MIRROR THE SOURCE ON SURFACE A 4DRAW A LINE BETWEEN THE MIRRORED SOURCE AND THE INTERSECTION POINT 5INTERSECT WITH THE NEXT SURFACE 6MIRROR THE MIRRORED SOURCE ON SURFACE C 7DRAW A LINE BETWEEN THE MIRRORED SOURCE AND THE INTERSECTION POINT 8INTERSECT WITH THE NEXT SURFACE NO INTERSECTION! 9REPEAT THE PROCESS FOR EACH RAY 1CHOOSE ONE ACOUSTIC RAY RAY TRACING METHOD
  • 71. Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application S A B C R m_Sa m_Sac 6MIRROR THE MIRRORED SOURCE ON SURFACE C 0DEFINE N ACOUSTIC RAYS: EX N = 10 2EXTEND UNTIL IT WILL INTERSECT A SURFACE 3MIRROR THE SOURCE ON SURFACE A 4DRAW A LINE BETWEEN THE MIRRORED SOURCE AND THE INTERSECTION POINT 5INTERSECT WITH THE NEXT SURFACE 6MIRROR THE MIRRORED SOURCE ON SURFACE C 7DRAW A LINE BETWEEN THE MIRRORED SOURCE AND THE INTERSECTION POINT 8INTERSECT WITH THE NEXT SURFACE NO INTERSECTION! 9REPEAT THE PROCESS FOR EACH RAY 1CHOOSE ONE ACOUSTIC RAY RAY TRACING METHOD
  • 72. Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application S A B C R m_Sa m_Sac 7DRAW A LINE BETWEEN THE MIRRORED SOURCE AND THE INTERSECTION POINT 0DEFINE N ACOUSTIC RAYS: EX N = 10 2EXTEND UNTIL IT WILL INTERSECT A SURFACE 3MIRROR THE SOURCE ON SURFACE A 4DRAW A LINE BETWEEN THE MIRRORED SOURCE AND THE INTERSECTION POINT 5INTERSECT WITH THE NEXT SURFACE 6MIRROR THE MIRRORED SOURCE ON SURFACE C 7DRAW A LINE BETWEEN THE MIRRORED SOURCE AND THE INTERSECTION POINT 8INTERSECT WITH THE NEXT SURFACE NO INTERSECTION! 9REPEAT THE PROCESS FOR EACH RAY 1CHOOSE ONE ACOUSTIC RAY RAY TRACING METHOD
  • 73. Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application S A B C R m_Sa 8INTERSECT WITH THE NEXT SURFACE NO INTERSECTION! 0DEFINE N ACOUSTIC RAYS: EX N = 10 2EXTEND UNTIL IT WILL INTERSECT A SURFACE 3MIRROR THE SOURCE ON SURFACE A 4DRAW A LINE BETWEEN THE MIRRORED SOURCE AND THE INTERSECTION POINT 5INTERSECT WITH THE NEXT SURFACE 6MIRROR THE MIRRORED SOURCE ON SURFACE C 7DRAW A LINE BETWEEN THE MIRRORED SOURCE AND THE INTERSECTION POINT 8INTERSECT WITH THE NEXT SURFACE NO INTERSECTION! 9REPEAT THE PROCESS FOR EACH RAY 1CHOOSE ONE ACOUSTIC RAY RAY TRACING METHOD
  • 74. Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application S A B C R 9REPEAT THE PROCESS FOR EACH RAY 0DEFINE N ACOUSTIC RAYS: EX N = 10 2EXTEND UNTIL IT WILL INTERSECT A SURFACE 3MIRROR THE SOURCE ON SURFACE A 4DRAW A LINE BETWEEN THE MIRRORED SOURCE AND THE INTERSECTION POINT 5INTERSECT WITH THE NEXT SURFACE 6MIRROR THE MIRRORED SOURCE ON SURFACE C 7DRAW A LINE BETWEEN THE MIRRORED SOURCE AND THE INTERSECTION POINT 8INTERSECT WITH THE NEXT SURFACE NO INTERSECTION! 9REPEAT THE PROCESS FOR EACH RAY 1CHOOSE ONE ACOUSTIC RAY RAY TRACING METHOD
  • 75. Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application S R A B C S R 0DEFINE A BOUNCES NUMBER EX N = 2 A B C 5INTERSECT WITH SURFACE C 7INTERSECT WITH SURFACE A 9REPEAT THE PROCESS FOR EACH COMBINATION 0DEFINE A BOUNCES NUMBER EX N = 2 1CHOOSE A BOUNCES COMBINATION EX SACR 3MIRROR THE MIRRORED SOURCE ON SURFACE C 4DRAW A LINE BETWEEN THE TARGET AND THE LAST MIRRORED SOURCE 6DRAW A LINE BETWEEN THE INTERSECTION POINT AND THE PREVIOUS MIRRORED SOURCE 8DRAW A POLYRAY BETWEEN THE POINTS 2MIRROR THE SOURCE ON SURFACE A IMAGE SOURCE METHOD
  • 76. Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application S R A B C S A B C R 1CHOOSE A BOUNCES COMBINATION EX SACR BOUNCES NUMBER: 2 POSSIBLE COMBINATIONS: SABR SACR SBAR SBCR SCAR SCBR 5INTERSECT WITH SURFACE C 7INTERSECT WITH SURFACE A 9REPEAT THE PROCESS FOR EACH COMBINATION 0DEFINE A BOUNCES NUMBER EX N = 2 1CHOOSE A BOUNCES COMBINATION EX SACR 3MIRROR THE MIRRORED SOURCE ON SURFACE C 4DRAW A LINE BETWEEN THE TARGET AND THE LAST MIRRORED SOURCE 6DRAW A LINE BETWEEN THE INTERSECTION POINT AND THE PREVIOUS MIRRORED SOURCE 8DRAW A POLYRAY BETWEEN THE POINTS 2MIRROR THE SOURCE ON SURFACE A IMAGE SOURCE METHOD
  • 77. Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application S R A B C m_Sa 2MIRROR THE SOURCE ON SURFACE A 5INTERSECT WITH SURFACE C 7INTERSECT WITH SURFACE A 9REPEAT THE PROCESS FOR EACH COMBINATION 0DEFINE A BOUNCES NUMBER EX N = 2 1CHOOSE A BOUNCES COMBINATION EX SACR 3MIRROR THE MIRRORED SOURCE ON SURFACE C 4DRAW A LINE BETWEEN THE TARGET AND THE LAST MIRRORED SOURCE 6DRAW A LINE BETWEEN THE INTERSECTION POINT AND THE PREVIOUS MIRRORED SOURCE 8DRAW A POLYRAY BETWEEN THE POINTS 2MIRROR THE SOURCE ON SURFACE A IMAGE SOURCE METHOD
  • 78. Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application S R A B C m_Sa m_Sac 3MIRROR THE MIRRORED SOURCE ON SURFACE C 5INTERSECT WITH SURFACE C 7INTERSECT WITH SURFACE A 9REPEAT THE PROCESS FOR EACH COMBINATION 0DEFINE A BOUNCES NUMBER EX N = 2 1CHOOSE A BOUNCES COMBINATION EX SACR 3MIRROR THE MIRRORED SOURCE ON SURFACE C 4DRAW A LINE BETWEEN THE TARGET AND THE LAST MIRRORED SOURCE 6DRAW A LINE BETWEEN THE INTERSECTION POINT AND THE PREVIOUS MIRRORED SOURCE 8DRAW A POLYRAY BETWEEN THE POINTS 2MIRROR THE SOURCE ON SURFACE A IMAGE SOURCE METHOD
  • 79. Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application S R A B C m_Sa m_Sac 4DRAW A LINE BETWEEN THE TARGET AND THE LAST MIRRORED SOURCE 5INTERSECT WITH SURFACE C 7INTERSECT WITH SURFACE A 9REPEAT THE PROCESS FOR EACH COMBINATION 0DEFINE A BOUNCES NUMBER EX N = 2 1CHOOSE A BOUNCES COMBINATION EX SACR 3MIRROR THE MIRRORED SOURCE ON SURFACE C 4DRAW A LINE BETWEEN THE TARGET AND THE LAST MIRRORED SOURCE 6DRAW A LINE BETWEEN THE INTERSECTION POINT AND THE PREVIOUS MIRRORED SOURCE 8DRAW A POLYRAY BETWEEN THE POINTS 2MIRROR THE SOURCE ON SURFACE A IMAGE SOURCE METHOD
  • 80. Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application S R A B C m_Sa m_Sac 5INTERSECT WITH SURFACE C5INTERSECT WITH SURFACE C 7INTERSECT WITH SURFACE A 9REPEAT THE PROCESS FOR EACH COMBINATION 0DEFINE A BOUNCES NUMBER EX N = 2 1CHOOSE A BOUNCES COMBINATION EX SACR 3MIRROR THE MIRRORED SOURCE ON SURFACE C 4DRAW A LINE BETWEEN THE TARGET AND THE LAST MIRRORED SOURCE 6DRAW A LINE BETWEEN THE INTERSECTION POINT AND THE PREVIOUS MIRRORED SOURCE 8DRAW A POLYRAY BETWEEN THE POINTS 2MIRROR THE SOURCE ON SURFACE A IMAGE SOURCE METHOD
  • 81. Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application S R A B C m_Sa m_Sac 6DRAW A LINE BETWEEN THE INTERSECTION POINT AND THE PREVIOUS MIRRORED SOURCE 5INTERSECT WITH SURFACE C 7INTERSECT WITH SURFACE A 9REPEAT THE PROCESS FOR EACH COMBINATION 0DEFINE A BOUNCES NUMBER EX N = 2 1CHOOSE A BOUNCES COMBINATION EX SACR 3MIRROR THE MIRRORED SOURCE ON SURFACE C 4DRAW A LINE BETWEEN THE TARGET AND THE LAST MIRRORED SOURCE 6DRAW A LINE BETWEEN THE INTERSECTION POINT AND THE PREVIOUS MIRRORED SOURCE 8DRAW A POLYRAY BETWEEN THE POINTS 2MIRROR THE SOURCE ON SURFACE A IMAGE SOURCE METHOD
  • 82. Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application S R A B C m_Sa m_Sac 7INTERSECT WITH SURFACE A 5INTERSECT WITH SURFACE C 7INTERSECT WITH SURFACE A 9REPEAT THE PROCESS FOR EACH COMBINATION 0DEFINE A BOUNCES NUMBER EX N = 2 1CHOOSE A BOUNCES COMBINATION EX SACR 3MIRROR THE MIRRORED SOURCE ON SURFACE C 4DRAW A LINE BETWEEN THE TARGET AND THE LAST MIRRORED SOURCE 6DRAW A LINE BETWEEN THE INTERSECTION POINT AND THE PREVIOUS MIRRORED SOURCE 8DRAW A POLYRAY BETWEEN THE POINTS 2MIRROR THE SOURCE ON SURFACE A IMAGE SOURCE METHOD
  • 83. Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application S R A B C m_Sa m_Sac 8DRAW A POLYRAY BETWEEN THE POINTS 5INTERSECT WITH SURFACE C 7INTERSECT WITH SURFACE A 9REPEAT THE PROCESS FOR EACH COMBINATION 0DEFINE A BOUNCES NUMBER EX N = 2 1CHOOSE A BOUNCES COMBINATION EX SACR 3MIRROR THE MIRRORED SOURCE ON SURFACE C 4DRAW A LINE BETWEEN THE TARGET AND THE LAST MIRRORED SOURCE 6DRAW A LINE BETWEEN THE INTERSECTION POINT AND THE PREVIOUS MIRRORED SOURCE 8DRAW A POLYRAY BETWEEN THE POINTS 2MIRROR THE SOURCE ON SURFACE A IMAGE SOURCE METHOD
  • 84. Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application S R A B C 9REPEAT THE PROCESS FOR EACH COMBINATION 5INTERSECT WITH SURFACE C 7INTERSECT WITH SURFACE A 9REPEAT THE PROCESS FOR EACH COMBINATION 0DEFINE A BOUNCES NUMBER EX N = 2 1CHOOSE A BOUNCES COMBINATION EX SACR 3MIRROR THE MIRRORED SOURCE ON SURFACE C 4DRAW A LINE BETWEEN THE TARGET AND THE LAST MIRRORED SOURCE 6DRAW A LINE BETWEEN THE INTERSECTION POINT AND THE PREVIOUS MIRRORED SOURCE 8DRAW A POLYRAY BETWEEN THE POINTS 2MIRROR THE SOURCE ON SURFACE A IMAGE SOURCE METHOD
  • 85. Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application S R A B C S R A B C S A B C R S A B C R METHODS COMPARISON
  • 86. PROCESSING CORE Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application
  • 87. #IMAGE SOURCE DEFINING TRASFORMATION MATRIX DirectionMove_L = [] SrfCenter_L = [] for i in ReflectSrf: ....SurfaceCenterPoint = rs.SurfaceAreaCentroid(i)[0] ....SrfCenter_L.append(SurfaceCenterPoint) ....SurfaceUV = rs.SurfaceClosestPoint(i,SurfaceCenterPoint) ....DirectionMove_L.append(rs.SurfaceNormal(i,SurfaceUV)) MirrorMatrix_L = [] for srfIN in range(len(ReflectSrf)): ....MirrorMatrix_L.append(rs.XformMirror(SrfCenter_L[srfIN] , ....DirectionMove_L[srfIN])) #DEFINING MIRRORED SORCE POINTS UNTIL INFINITE ORDER def graftlist(List): ....MainList = [] ....Void = [] ....MainList.append(Void) ....GraftList = [] ....for i in range (len(MainList)): ........for j in List: ............Sub = [] ............Sub.append(j) ............GraftList.append(Sub) ....return (GraftList) SrcPtsGraft = graftlist(SrcPts) ObjList = [] ObjList.append(SrcPtsGraft) def RecursiveMirror(SrcPtsGraft,gens): ....Macro = [] ....for i in range (len(SrcPts)): ........List = [] ........for j in range (len(SrcPtsGraft[0])): ............for k in range(len(ReflectSrf)): ................List.append(rs.TransformObjects(SrcPtsGraft[i][j], ................MirrorMatrix_L[k],True)[0]) ........Macro.append(List) ....if gens != 0: ........ObjList.append(Macro) ....if gens > 0: ........RecursiveMirror(Macro,gens-1) ....return(ObjList) Nmax = max(n) mSrcN_full = RecursiveMirror(SrcPtsGraft, Nmax ) #REMOVE FROM MIRRORED SOURCE POINTS LIST ALL DUPLICATES def PointsConversion(coordinate): ....Converted = [] ....for i in range (len(mSrcN_full)): ........Csub1 = [] ........for j in range (len(SrcPts)): ............Csub2 =[] ............for k in range (len(mSrcN_full[i][j])): ................Csub2.append(round(rs.PointCoordinates(mSrcN_full[i] ................[j][k])[coordinate],2)) ............Csub1.append(Csub2) ........Converted.append(Csub1) ....return(Converted) mSrcN_x = PointsConversion(0) mSrcN_y = PointsConversion(1) mSrcN_z = PointsConversion(2) def RecursiveCull(mSrcN_full,gens,empty): ....if Nmax >= 2: ........mSrcN = [] ........for j in range (len(SrcPts)): ............SubM1 = [] ............for k in range (len(mSrcN_full[gens][0])): ................if gens >= 2: ................if ((round((rs.PointCoordinates(mSrcN_full[gens] ................[j][k])[0]),2) in (mSrcN_x[(gens-2)][j])) ................and(round((rs.PointCoordinates(mSrcN_full[gens] ................[j][k])[1]),2) in (mSrcN_y[(gens-2)][j])) ................and(round((rs.PointCoordinates(mSrcN_full[gens] ................[j][k])[2]),2) in (mSrcN_z[(gens-2)][j]))): ....................SubM1.append(None) ................else: ....................SubM1.append(mSrcN_full[gens][j][k]) ............mSrcN.append(SubM1) ........empty.insert(0,mSrcN) #Ordine n ........if gens > 2: ............RecursiveCull(mSrcN_full,gens-1,empty) ........return(empty) ....elif Nmax == 1: ........empty.append(mSrcN_full[0]) ........empty.append(mSrcN_full[1]) ........return(empty) ....else: ........empty.append(mSrcN_full[0]) ........return(empty) empty = [] mSrcN = (RecursiveCull(mSrcN_full,Nmax,empty)) if Nmax >=2: ....mSrcN.insert(0,mSrcN_full[1]) ....mSrcN.insert(0,mSrcN_full[0]) #FINDING INTERSECTION PTS AT ORDER N def CodeExecution (n): ....#1 FAKE RAYS ORDER N ....fRays = [] ....for i in range(len(TgtPts)): ........fRay_Sub = [] ........for j in range(len(SrcPts)): ............fRay_Sub2 = [] ............for k in range(len(mSrcN[n][0])): ................if mSrcN[n][j][k] != None: ....................fRay_Sub2.append(rs.AddLine(mSrcN[n][j][k], ....................TgtPts[i])) ................else: ....................fRay_Sub2.append(None) ............fRay_Sub.append(fRay_Sub2) ........fRays.append(fRay_Sub) ....#2 INTERSECTION ORDER N ....ReflectSrf_t = [] ....for i in range (int(len(ReflectSrf)**(n)/len(ReflectSrf))): ........for Srf in ReflectSrf: ............ReflectSrf_t.append(Srf) ....#per n = 3 appende 36 volte la lista di 6 per ramo di src ....Intersection = [] ....for i in range (len(TgtPts)): ........sub1 = [] ........for j in range (len(SrcPts)): ............sub2 = [] ............for w in range(len(ReflectSrf_t)): ................if fRays[i][j][w] != None: ....................Int = rs.CurveBrepIntersect(fRays[i][j][w], ....................ReflectSrf_t[w]) ................else: ....................Int = None ................if Int is not None: ....................sub2.append(Int[1][0]) ................else: ....................sub2.append(None) ............sub1.append(sub2) ........Intersection.append(sub1) #FINDING INTERSECTION PTS FROM ORDER N-1 RECURSION ....def RecursiveIntersection (IntPts, gens, IntList): ........if n != 1 : ............fRayN = [] ............for i in range (len(TgtPts)): ................sub1 = [] ................for j in range (len(SrcPts)): ....................sub2 = [] ....................for k in range (len(mSrcN[gens-1][0])): ........................h = k * int((len(Intersection[0][0]))/ ........................(len(mSrcN[gens-1][0]))) ........................for x in range(int((len(Intersection[0][0]))/ ........................(len(mSrcN[gens-1][0])))): ............................if (IntPts [i][j][x + h]) and ............................(mSrcN[gens-1][j][k]) != None: ................................sub2.append(rs.AddLine(IntPts[i][j] ................................[x + h],mSrcN[gens-1][j][k])) ............................else: ................................sub2.append(None) ....................sub1.append(sub2) ................fRayN.append(sub1) ............ReflectSrf_p = [] ............for i in range (((int((len(mSrcN[gens-1][0]))/ ............(len(ReflectSrf)))))): ................for Srf in ReflectSrf: ....................for j in range (int((len(IntPts[0][0]))/ ....................(len(mSrcN[gens-1][0])))): ........................ReflectSrf_p.append(Srf) ............Pt = [] ............for i in range (len(TgtPts)): ................sub1 = [] ................for j in range (len(SrcPts)): ....................sub2 = [] ....................for k in range(len(ReflectSrf_p)): ........................if fRayN[i][j][k] is not None: ............................Int = rs.CurveBrepIntersect(fRayN[i] ............................[j][k],ReflectSrf_p[k]) ........................else: ............................Int = None ........................if Int is not None: ............................sub2.append(Int[1][0]) ........................else: ............................sub2.append(None) ....................sub1.append(sub2) ................Pt.append(sub1) ............IntList.append(Pt) ........if gens == n: ............IntList.insert(0,Intersection) ........if gens > 2: ............RecursiveIntersection (Pt, gens-1, IntList) ........return(IntList) .... ....IntList = [] ....RecInt = RecursiveIntersection(Intersection, n, IntList) #DRAW POLYRAYS ....RList = [] ....for i in range (len(TgtPts)): ........Rsub1 = [] ........for j in range (len(SrcPts)): ............Rsub2 = [] ............for k in range (len(ReflectSrf)**n): ................Rsub3 = [] ................for w in range (len(RecInt)): ....................Rsub3.append(RecInt[w][i][j][k]) ................Rsub2.append(Rsub3) ............Rsub1.append(Rsub2) ........RList.append(Rsub1) ....for i in range (len(TgtPts)): ........for j in range (len(SrcPts)): ............for k in range (len(RList[0][0])): ................RList[i][j][k].insert(0,TgtPts[i]) ....................RList[i][j][k].append(SrcPts[j]) ....polylines = [] ....for i in range (len(TgtPts)): ........Plsub1 = [] ........for j in range (len(SrcPts)): ............Plsub2 = [] ........for k in range (len(RList[0][0])): ............if (None in RList[i][j][k]) == True : ................Plsub2.append(None) ............else: ................Plsub2.append(rs.AddPolyline(RList[i][j][k])) ........Plsub1.append(Plsub2) ....polylines.append(Plsub1) #OBSTACLE CHECK ....#1 FIND SEGMENTS ....SegmentsList = [] ....for i in range (len(TgtPts)): ........SLsub1 = [] ........for j in range (len(SrcPts)): ............SLsub2 = [] ............for k in range (len(polylines[0][0])): ................if polylines[i][j][k] != None: ....................SLsub2.append(rs.ExplodeCurves(polylines[i] ....................[j][k])) ................else: ....................SLsub2.append(None) ............SLsub1.append(SLsub2) ........SegmentsList.append(SLsub1) ....#2 FIND INTERSECTION COUNT LIST ....SegmentIntlist = [] ....for i in range (len(TgtPts)): ........SILsub1 = [] ........for j in range (len(SrcPts)): ............SILsub2 = [] ............for k in range (len(polylines[0][0])): ................SILsub3 = [] ................for w in range (n+1): ....................for x in range (len(ReflectSrf)): ........................if SegmentsList[i][j][k] is not None: ............................Int = rs.CurveBrepIntersect ............................(SegmentsList[i][j][k][w],ReflectSrf[x]) ........................else: ............................Int = None ........................if Int is not None: ............................SILsub3.append(Int[1][0]) ........................else: ............................SILsub3.append(None) ................SILsub2.append(len(SILsub3) - SILsub3.count(None)) ............SILsub1.append(SILsub2) ........SegmentIntlist.append(SILsub1) ....#3 BUILD NEW POLYLINES WITH NEW CONDITION ....polyrays = [] ....for i in range (len(TgtPts)): ........Prsub1 = [] ........for j in range (len(SrcPts)): ............Prsub2 = [] ............for k in range (len(RList[0][0])): ................if (SegmentIntlist[i][j][k]) > (2+2*(n-1)) ................or (None in RList[i][j][k]) == True: ....................Prsub2.append(None) ................else: ....................Prsub2.append(rs.AddPolyline(RList[i][j][k])) ............Prsub1.append(Prsub2) ........polyrays.append(Prsub1) #CALCULATE SPL AND TIME ....time = [] ....SPL = [] ....for i in range(len(TgtPts)): ........time1 = [] ........SPL1 = [] ........for j in range(len(SrcPts)): ............time2 = [] ............SPL2 = [] ............for h in range(len(RList[0][0])): ................if polyrays[i][j][h] != None: ....................time2.append((rs.CurveLength ....................(polyrays[i][j][h]))/343) ....................SPL2.append((111-(20*math.log10 ....................(rs.CurveLength(polyrays[i] ....................[j][h])-1))-11)*(r**n)) ................else: ....................time2.append(None) ....................SPL2.append(None) ............time1.append(time2) ............SPL1.append(SPL2) ........time.append(time1) ........SPL.append(SPL1) ....return (SPL,polyrays) if Compute == True: ....FINAL = [] ....for i in range (len(n)): ........FINAL.append(CodeExecution(n[i])) ....RAYS = [] ....for i in range (len(n)): ........SPL.append(FINAL[i][0]) ........RAYS.append(FINAL[i][1]) ....a = SPL ....b = RAYS Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application
  • 88. SOURCES: 1 TARGETS: 25 REFLECTIVE SURFACES: 6 PROCESSING CORE - RAYS SHOOTING Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application
  • 89. BOUNCES: 0 POTENTIAL RAYS: 25 TOTAL RAYS: 25 min LENGHT: 6,56 m SOURCES: 1 TARGETS: 25 REFLECTIVE SURFACES: 6 PROCESSING CORE - RAYS SHOOTING Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application
  • 90. BOUNCES: 1 POTENTIAL RAYS: 150 TOTAL RAYS: 98 min LENGHT: 7,42 m SOURCES: 1 TARGETS: 25 REFLECTIVE SURFACES: 6 PROCESSING CORE - RAYS SHOOTING Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application
  • 91. BOUNCES: 2 POTENTIAL RAYS: 900 TOTAL RAYS: 103 min LENGHT: 10,25 m SOURCES: 1 TARGETS: 25 REFLECTIVE SURFACES: 6 PROCESSING CORE - RAYS SHOOTING Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application
  • 92. BOUNCES: 3 POTENTIAL RAYS: 5400 TOTAL RAYS: 154 min LENGHT: 11,22 m SOURCES: 1 TARGETS: 25 REFLECTIVE SURFACES: 6 PROCESSING CORE - RAYS SHOOTING Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application
  • 93. d =14 m SPL[dB] = Lw - 20log10 (d) - 11 PROCESSING CORE - SPL CALCULATION Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application
  • 94. SPL COMBINATION Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application
  • 95. SPL COMBINATION DIRECT SOUND LEVELS TOTAL SOUND LEVELS = 10^DS/10 +10^RS/10 REFLECTED SOUND LEVELS Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application
  • 96. SPL COMBINATION 70 75 80 85 90 95 100 [dB] DIRECT SOUND LEVELS TOTAL SOUND LEVELS = 10^DS/10 +10^RS/10 REFLECTED SOUND LEVELS Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application
  • 97. Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application THE OPTIMIZATION PROCESS
  • 98. Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application The Morphogenetic Process DEFINITION OF DESIGN VARIBALES INPUT SYSTEM INDIVIDUAL SELECTION RESULTING INDIVIDUALS CROSSOVER MUTATION NEW POPULATION GEOMETRY FITNESS ACOUSTIC SIMULATION PROCESSING COREEVOLUTIONARY-BASED OPTIMIZATION REPRESENTATION OF THE ACOUSTIC SHELL OUTPUT SYSTEM RANDOM GENERATION OF THE 1ST POPULATION
  • 99. Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application OPTIMIZATION 1 SOURCE TARGETS
  • 100. Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application OPTIMIZATION 1 SOURCE TARGETS DMIN = 1.5M
  • 101. Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application OPTIMIZATION 1 70 75 80 85 90 95 100 [dB] GENERATIONS SPL SUM = 11509.90 dB SPL SUM = 11623.23 dB SPL SUM = 11700.00 dB SPL SUM = 11727.82 dB SPL SUM = 11738.34 dB 51 15 30 50
  • 102. Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application OPTIMIZATION 1 70 75 80 85 90 95 100 [dB] GENERATIONS SPL SUM = 11738.34 dB 50 INEFFICIENTPANELS RED DOTS = BOUNCING POINTS
  • 103. Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application OPTIMIZATION 2 70 75 80 85 90 95 100 [dB] GENERATIONS SPL SUM = 11522.07 dB SPL SUM = 11660.27 dB SPL SUM = 11880.88 dB SPL SUM = 11953.26 dB SPL SUM = 12022.27 dB 51 15 30 50
  • 104. Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application OPTIMIZATION 2 70 75 80 85 90 95 100 [dB] GENERATIONS SPL SUM = 12022.27 dB 50
  • 105. Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application OPTIMIZATION 3 SOURCES TARGETS
  • 106. Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application OPTIMIZATION 3 70 75 80 85 90 95 100 [dB] GENERATIONS SPL SUM = 12176.96 dB SPL SUM = 12247.44 dB SPL SUM = 12479.16 dB SPL SUM = 12613.90 dB SPL SUM = 12626.06 dB 51 15 30 50
  • 107. Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application OPTIMIZATION 3 70 75 80 85 90 95 100 [dB] GENERATIONS SPL SUM = 12626.06 dB 50 EXTENDED PANELS
  • 108. 3,6 11 1,6 2 0,6 0,4 ARCHITECTURAL SETTING METHOD APPLICATION Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application
  • 109. 18,66 A = 262m2 18,82 ARCHITECTURAL SETTING METHOD APPLICATION Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application
  • 110. 18,66 A = 262m2 18,82 ARCHITECTURAL SETTING METHOD APPLICATION Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application
  • 111. OPTIMIZATION A - FITNESS FUNCTION RANDOM SHELL SPL MAP 1 x M * 100 N i if −= ∑= δ Where: - N is the total number of targets; - xi is SPL value on the ith target; - M is the Number of SPL Values smaller than 90dB FITNESS FUNCTION Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application
  • 112. Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application
  • 113. OPTIMIZATION A 70 75 80 85 90 95 100 [dB] GENERATIONS SPL SUM = 18070.97dB SPL SUM = 18297.18 dB SPL SUM = 18532.14 dB SPL SUM = 18577.21 dB SPL SUM = 18580.11 dB 51 15 30 80 Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application
  • 114. OPTIMIZATION A 70 75 80 85 90 95 100 [dB] GENERATIONS SPL SUM = 18580.11 dB 80 8.00 m 4.30 m 4.40 m Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application
  • 115. 70 75 80 85 90 95 100 [dB] SOUNDPRESSURELEVEL[dB] DISTANCE [m] 80 82 84 86 88 90 92 94 96 98 100 102 0.5 2.4 4.3 6.2 8.1 10.0 12.0 13.9 15.8 17.7 ALLSOURCESSPLMAP BACKSOURCESSPLMAP MIDDLESOURCESSPLMAP FRONTSOURCESSPLMAP ALL OPTIMIZATION A - RESULT ANALYSIS Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application
  • 116. 70 75 80 85 90 95 100 [dB] SOUNDPRESSURELEVEL[dB] DISTANCE [m] 80 82 84 86 88 90 92 94 96 98 100 102 0.5 2.4 4.3 6.2 8.1 10.0 12.0 13.9 15.8 17.7 ALLSOURCESSPLMAP BACKSOURCESSPLMAP MIDDLESOURCESSPLMAP FRONTSOURCESSPLMAP ALL BACK MIDDLE FRONT OPTIMIZATION A - RESULT ANALYSIS Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application
  • 117. 70 75 80 85 90 95 100 [dB] SOUNDPRESSURELEVEL[dB] DISTANCE [m] 80 82 84 86 88 90 92 94 96 98 100 102 0.5 2.4 4.3 6.2 8.1 10.0 12.0 13.9 15.8 17.7 ALLSOURCESSPLMAP BACKSOURCESSPLMAP MIDDLESOURCESSPLMAP FRONTSOURCESSPLMAP ALL BACK MIDDLE FRONT CRITICAL DECAY OPTIMIZATION A - RESULT ANALYSIS Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application
  • 118. Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application FORM FINDING - CILIA α 0° <α<60° DEFINE 1m TRANSLATION VECTOR FOR EACH SEGMENT1 EXTRUDE EACH SEGMENT AND BUILD NEW SURFACES2 ROTATE EACH SURFACE BY DIFFERENT ANGLES3
  • 119. Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application FORM FINDING - CILIASOUNDPRESSURELEVEL[dB] DISTANCE [m] 80 82 84 86 88 90 92 94 96 98 100 102 0.5 2.4 4.3 6.2 8.1 10.0 12.0 13.9 15.8 17.7 FRONT SOURCES SPL MAP NO CILIA 2 1 )( 1 xx N N i if −= ∑= δ Where: - N is the total number of targets; - xi is SPL value on the ith target; - x is the arithmetic mean of the xi ; - 2 )( xxis −=σ is the measure of the variance of the data structure and represents the simple spread relative to the mean value. FITNESS FUNCTION
  • 120. Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application FORM FINDING - CILIASOUNDPRESSURELEVEL[dB] DISTANCE [m] 80 82 84 86 88 90 92 94 96 98 100 102 0.5 2.4 4.3 6.2 8.1 10.0 12.0 13.9 15.8 17.7 FRONT SOURCES SPL MAP NO CILIA CILIA OPTIMIZATION RESULT
  • 121. Identyfing Thematic Area The essence of Sound Waves The Problems of an Open Air Concert Designing an Acoustic Chamber for Outdoor Music Example of Solved Problems Evolution of Design Methods Resonant String Shell - ReS Computational Morphogenesis Res 4.0 - The Algorithm The Optimization Process From Digital ti Real Model Structural Design Process Engineering the Structure Simplifying Construction Site State of the Art Methodological Hypotesis Experimental Application FORM FINDING - CILIASOUNDPRESSURELEVEL[dB] DISTANCE [m] 80 82 84 86 88 90 92 94 96 98 100 102 0.5 2.4 4.3 6.2 8.1 10.0 12.0 13.9 15.8 17.7 FRONT SOURCES SPL MAP NO CILIA CILIA OPTIMIZATION RESULT OPTIMIZATED TARGETS