Building systems with non-regular polyhedra based on subdivision

Static structures (e.g. – buildings) – Compound curve structure – Geodesic shape

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52 791, 52 801, 52 814, 52 815, 52DIG10, F04H 100

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active

056237901

ABSTRACT:
Nine different classes of polyhedral structures based on surface subdivisions of the infinite class of plane-faced zonohedra. The structures fit together periodically or non-periodically into a variety of orderly and irregular-looking space structures including polyhedra with plane or curved faces, single-, double-, multi-layered and multi-directional space-filling building systems, plane-faced and curved space labyrinths. The surfaces of curved faces could be continuously curved surfaces, or facetted polygonal surfaces or minimal surfaces. The curves surfaces could be flexible nets in tension used by themselves or in combination with space frames, or stiff shell-like surfaces, and the edges could be hinged or fixed to others. The plane faces could be panels or folded plates, and the straight edges could be converted into struts, and the vertices into nodes. Applications of the system include architectural and environmental structures, fixed or retractible space frames, decks or platforms, playground structures, honeycomb structures, educational kits or toys, tiles, saddle polyhedral nodes for space frames, and include constructions on earth or in outer space.

REFERENCES:
patent: 3646718 (1972-03-01), McKenna
patent: 3663346 (1972-05-01), Schoen
patent: 3663347 (1972-05-01), Schoen
patent: 3931697 (1976-01-01), Pearce
patent: 3970301 (1976-07-01), Lehman
patent: 3974600 (1976-08-01), Pearce
patent: 4133152 (1979-01-01), Penrose
patent: 4492723 (1985-01-01), Chadwick
patent: 4620998 (1986-11-01), Lalvani
The Hyper-Schwartz Surface by D. Brisson (1976) pp. 2,4,5,13,15,18,23,27,28,41,44,46,49,50,52,53 and front cover.
"Mathematical Models" by Martyn Candy et al., 1961, pp. 129-138.
"Order in Space" by Keith Critchlow, 6 Oct. 1972, pp. 32-39, 46-49, 56-57.

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