1. Quasi Crystalline Geometry for Architectural Structures Barbara Weinzierl 1)* and Ture Wester 2) 1) Stud. Arch. 2) Associate Professor Royal Danish Academy of Fine Arts, School of Architecture, Copenhagen, Denmark.

2. Electron-microscope Picture of a Quasi-Crystal Diffraction Pattern with a 10-fold / 5-fold Symmetry

3. Roger Penrose and One of his Patterns

4. Two Aperiodic Penrose Patterns with 5-fold Symmetry The Pattern is made of two different Golden Diamond Shaped tiles

5. How to build the Golden Fat and Thin Rhombohedra. All facetts have the Golden Ratio

6. This Penrose Pattern consists of Eight different possible combinations of Golden Diamond Tiles. Those eight combinations are called Vertex Stars.

7. Penrose Structure

8. Double Layer Quasi-crystal Structure Double Layer -> nodes in six different heights

9. The Binary Substitution

10. Binary Substitution Tiling Decomposition of Prototiles

11. Binary Substitution Structures

12. The Rhombic Dodecahedron, The Rhombic Icosahedron, The Rhombic Triacontahedron, and how to make them...

13. ...and how to cluster them

14. Golden Rhombic Triacontahedra attached to one Golden Rhombic Triacontahedron in the core in a 5-fold Symmetry

15. Gaps filled up with single Golden Rhombi offering possibilities for attaching more Golden Rhombic Triacontahedra

16. Clustering with Golden Rhombic Dodecahedra, Golden Rhombic Icosahedra, and Golden Rhombic Triacontrahedra...

17. … and filling up with some more single Golden Rhombi

18. … Fractals or another mistake...

19. Graphically possible: making a Binary Substitution of a Binary Substitution of a Binary Substituition…

20. ...Structurally not possible without periodic parts

21. The Principle of how to stabilize those structures

23. One way of stabelizing a Double Layer Quasi Crystal Spaceframe

24. One way of stabilizing a Golden Rhombic Triacontahedron starting with a stable core and with the other additional structrual elements in a band around and through the structure

25. Possibilities for a building? Observe the 5 parallel plates for possible floors!

28. Chaos?

32. Single Layer QC Polyhedron

33. One Layer Bubble with all facetts closed with stiff plates or made of stiff frames is stable

34. Another way of stabilizing

35. Single Layer QC Domes may be stabilized by a Torus Ring at the free Edge if all Meshes are Plate stabilized

36. Existing Examples of Artistic influenced Structures and Architecture

37. Quasi Crystal Sculptur at the DTU Danish Technical University in Copenhagen, Denmark by Tony Robbin

40. The RMIT Storey Hall in Melbourne, Australia

42. Foyer and Auditory

43. London Stanstead Airport

46. Airport Stuttgart

51. Skavsta Terminal Deconstruction across Dimensions

57. … further search for a Fractal

63. Departure Hall

71. Arrival Hall

81. Train Station

84. Coach Station

89. Tower

92. The End (for now)