FIBONACCI PAVILION Akio Hizume [email protected] The Phyllotaxis is not only an old subject but also a new subject of science. Most plants have used the golden ratio for several tens of millions of years. Since they can get maximum sunlight and stand stably, they are very successful today. It is the most ecological structure on the earth. We should learn from plants to build bright, well-ventilated, and H. Weyl “Symmetry” (1952) stable architecture. 6
3 9 This proposal is just a sample as a prototype. 1 8 However, this principle should become a general architectural form in the future. 4 5 It will be built anywhere in the world as a house, pavilion, temple, 2 7 museum, library, theater, or stadium using any materials (lumber, 10 2 log, bamboo, metal, etc.) on any scale that we want. rn an 2 (2 )n In this sample, the main structure consists only of two-by-twelve n n 1,2,3,4,5, pieces of lumber for simplicity. (where τ denotes the Golden Ratio)
Scale Model 1/40 X
Y
100 87 95 Entrance 74 79 66 92 82 53 WC 61 58 45 71 40 84 69 32 90 48 37 50 24 97 27 19 63 56 35 77 11 29 16 76 98 14 42 43 22 6 Office 3 55 64 8 21 89 9 85 30 1 34 51 13 68 17 4 5 47 72 38 2 26 81 25 12 7 10 18 60 93 59 39 X-X Section
46 20 15 33 31 94 80 23 52 73 28 67 54 41 36 44 65 86 49 88 57 75 62 Y 78 70 99 83 96 91
Bookshelf Office
WC
X Plan The floor is tiled by the Voronoi tessellation based on the Phyllotaxis. Y-Y Section
Wall and Roof Structure
You can find many spirals of phyllotaxis. It is the most earthquake-proof structure. In general, the phyllotaxis (Golden Ratio) diffuses most effectively any kind of wave, that is, light and sound.
The roof structure forms the paraboloid. It is the most elegant way to construct the parabolic antenna. Only one lamp is enough in a room. For example, if the lamp is at the focus of the paraboloid, all reflected lights fall exactly vertically. There will be no shadow! I believe that it is special acoustic space. No Shadow! 95 87 100 74 82 66 79 61 53 92 90 69 40 45 58 48 32 71
77 56 27 84 35 19 37 98 24 50
43 14 11 63 97 64 22 6 16 29 85 42 76 30 3 9 51 8 1 21 17 55 72 4 34 89 38 13 5 93 25 2 68 59 12 47 7 26 46 10 80 18 33 20 81 15 39 60 67 23 31 28 54 41 52 94 73 36 88 44 75 49 62 65 57 86 70 96 83 78 99 91
matching of beams and Voronoi cells suspended lamps
Another Lighting Effect
The center of each cell is matched to the center of each beam precisely. This fact is very useful for lighting effect. One hundred pendants will be hung from the beams. They light the center of each cell from above as a one-to-one correspondence. We can use such various spiral patterns for lighting and display. The figures below show some examples of light arrangements. There are various flexibilities.
Variations of display and lighting pattern. EXTENSION
We can extend the principle of this structure. We can change the height of each Voronoi cell at will. For example, the following figures are a proposal for an ideal stadium. In such a stadium, every member of the audience can view the center stage. Of course, we can build the roof structure in the same way as the Fibonacci Pavilion. I named this stadium "FIBONACCI COLOSSEO".
Scale Model
Plan Round Stadium
Perspective
Plan Oval Stadium