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POLYOMINO - reconsidering serial repetition in combinatorics
prepared by:
JOSHUA DAWSON
YITING MA
GEN MAKINODA
YUAN ZHUANG
“Re-consider serial repetition through a framework of
combinatorics and graph theory, one in which we consider
geometry as a data structure for a plethora of design”
Design a building systems to carry information to control the
growth of plants, so that artificial geometry with emerging
plants will generate architectural spaces that are almost fluid.
Symbiosis
Hydroponic - nutrient film technique (NFT) to be the fundamental plant growing method
pH
light
electromagnetic wave
growth
directionality
defects
sweet spot = 5.8 - 7.5
death zone = <4.0, >8.0
auxin hormone
bends towards light
higher = thinner stems, smaller leafs
Dr. Nate Storey, “Lowering pH in Aquaponics Systems,” Bright Agrotech Youtube video, https://www.youtube.com/watch?v=xCKYREoBos8
“Aquaponics - What is pH and How Does it Affect Your Plants” SSLFamilyDad, Youtube video, https://www.youtube.com/watch?v=9_yT0w3HmAo
Most plants grow between 6.5 to 7.5 in pH (measurement of hydrogen ion)
amount, while some plants prefer slightly acidic at the roots around 5.8-6.4. !
Different nutrients have different pH levels for
them to be efficiently absorbed by the plans:!
!
!
nitrogen 6.0 - 8.0!
phosphorous 6.5 - 7.5!
potassium >6.0!
calcium 7.0 – 8.5!
magnesium 7.0 – 8.5!
iron 6.5 !
7!0! 14!
neutral!acidic! alkaline!
6.5! 7.5!
sweet spot!
5.8!
death zone!death zone!
pH
light
sun sun
auxin hormone has tendency to move towards the shady
side of the plan, loosening up the cellulose in the cell
walls, stimulating the growth of the cell on that side
Steven Magee, “Electromagnetic Interference (EMI) and AC Electric Field Effects on Plants” StevenMageeBooks Youtube video, https://www.youtube.com/watch?v=rbmlS_nvQcE
electromagnetic wave
Space-frame formed from a singular unit using combinatory procedures,
allowed by a perfectly packing geometry.
The perfect packing geometry in this case refers to the Rhombic Dodecahedron
Most plants grow between 6.5 to 7.5 in pH (measurement of hydrogen ion)
amount, while some plants prefer slightly acidic at the roots around 5.8-6.4. !
Different nutrients have different pH levels for
them to be efficiently absorbed by the plans:!
!
!
nitrogen 6.0 - 8.0!
phosphorous 6.5 - 7.5!
potassium >6.0!
calcium 7.0 – 8.5!
magnesium 7.0 – 8.5!
iron 6.5 !
7!0! 14!
neutral!acidic! alkaline!
6.5! 7.5!
sweet spot!
5.8!
death zone!death zone!
sun sun
Connecting at vertices
Connecting at faces
Avoid straight line going through the center
Multiple pipes to carry different essentials to the plants
Geometry that encapsulates more than two systems that do not touch each others to carry different information
Konrad Wachsmann
unit design criteria
8 units
8 units
4 units
3 units
6 units
6 units
29 units
64 units
120 units
460 units
The unit is an instance of a vareigated circulation system that comprises of two
conduits, one which carries an oxygen and nutrient rich supply of fluids while
the other carries the deoxygenated fluid existing in the system.
Trello-Ponic
Trello-Ponic
Baser
Where nutrients and water
originate, and return after going
making a round in the systemFilter center
Carrier
Distributes water and nutrients
to various directions
Mister
Sprays water to plants
Water can be replaced with
electromagnetic waves to kill
Turner
Turns water and nutrients to
opposite direction
Carries water for Mister and electricity for
generating electromagnetic waves
Carries oxygenated water with pH/
nitrogen and other nutrients
Carrier unit
Mister-unit
Turner-unit
Baser-unit
Provide combinatory in gaming environment so that the system becomes an
open-ended architectural design that could integrate inputs from the people
The designer becomes a designer of generating systems – each able of
generating many objects – rather than the designer of individual objects.
(Christopher Alexander 1968)
A pavilion design
3581 units
PLAN 3581 units
A A
B
B
SECTION A-A 3581 units
SECTION B-B 3581 units
3260 units
3260 units
3260 units
3260 units
4224 units
4221 units4224 units
4224 units
4224 units
An architectural garden creation game: Trello-Ponic
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An architectural garden creation game: Trello-Ponic

  • 1. POLYOMINO - reconsidering serial repetition in combinatorics prepared by: JOSHUA DAWSON YITING MA GEN MAKINODA YUAN ZHUANG
  • 2. “Re-consider serial repetition through a framework of combinatorics and graph theory, one in which we consider geometry as a data structure for a plethora of design”
  • 3. Design a building systems to carry information to control the growth of plants, so that artificial geometry with emerging plants will generate architectural spaces that are almost fluid. Symbiosis
  • 4. Hydroponic - nutrient film technique (NFT) to be the fundamental plant growing method
  • 5. pH light electromagnetic wave growth directionality defects sweet spot = 5.8 - 7.5 death zone = <4.0, >8.0 auxin hormone bends towards light higher = thinner stems, smaller leafs
  • 6. Dr. Nate Storey, “Lowering pH in Aquaponics Systems,” Bright Agrotech Youtube video, https://www.youtube.com/watch?v=xCKYREoBos8 “Aquaponics - What is pH and How Does it Affect Your Plants” SSLFamilyDad, Youtube video, https://www.youtube.com/watch?v=9_yT0w3HmAo Most plants grow between 6.5 to 7.5 in pH (measurement of hydrogen ion) amount, while some plants prefer slightly acidic at the roots around 5.8-6.4. ! Different nutrients have different pH levels for them to be efficiently absorbed by the plans:! ! ! nitrogen 6.0 - 8.0! phosphorous 6.5 - 7.5! potassium >6.0! calcium 7.0 – 8.5! magnesium 7.0 – 8.5! iron 6.5 ! 7!0! 14! neutral!acidic! alkaline! 6.5! 7.5! sweet spot! 5.8! death zone!death zone! pH
  • 7. light sun sun auxin hormone has tendency to move towards the shady side of the plan, loosening up the cellulose in the cell walls, stimulating the growth of the cell on that side
  • 8. Steven Magee, “Electromagnetic Interference (EMI) and AC Electric Field Effects on Plants” StevenMageeBooks Youtube video, https://www.youtube.com/watch?v=rbmlS_nvQcE electromagnetic wave
  • 9. Space-frame formed from a singular unit using combinatory procedures, allowed by a perfectly packing geometry.
  • 10. The perfect packing geometry in this case refers to the Rhombic Dodecahedron
  • 11.
  • 12. Most plants grow between 6.5 to 7.5 in pH (measurement of hydrogen ion) amount, while some plants prefer slightly acidic at the roots around 5.8-6.4. ! Different nutrients have different pH levels for them to be efficiently absorbed by the plans:! ! ! nitrogen 6.0 - 8.0! phosphorous 6.5 - 7.5! potassium >6.0! calcium 7.0 – 8.5! magnesium 7.0 – 8.5! iron 6.5 ! 7!0! 14! neutral!acidic! alkaline! 6.5! 7.5! sweet spot! 5.8! death zone!death zone! sun sun
  • 14.
  • 16.
  • 17.
  • 18.
  • 19.
  • 20.
  • 21. Avoid straight line going through the center Multiple pipes to carry different essentials to the plants Geometry that encapsulates more than two systems that do not touch each others to carry different information Konrad Wachsmann unit design criteria
  • 22.
  • 23.
  • 24.
  • 25.
  • 36. The unit is an instance of a vareigated circulation system that comprises of two conduits, one which carries an oxygen and nutrient rich supply of fluids while the other carries the deoxygenated fluid existing in the system. Trello-Ponic
  • 37. Trello-Ponic Baser Where nutrients and water originate, and return after going making a round in the systemFilter center Carrier Distributes water and nutrients to various directions Mister Sprays water to plants Water can be replaced with electromagnetic waves to kill Turner Turns water and nutrients to opposite direction Carries water for Mister and electricity for generating electromagnetic waves Carries oxygenated water with pH/ nitrogen and other nutrients
  • 42. Provide combinatory in gaming environment so that the system becomes an open-ended architectural design that could integrate inputs from the people
  • 43. The designer becomes a designer of generating systems – each able of generating many objects – rather than the designer of individual objects. (Christopher Alexander 1968)
  • 44.
  • 46.
  • 47.
  • 52.
  • 53.
  • 54.
  • 55.
  • 56.