Space structures with non-periodic subdivisions of polygonal fac

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

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52 812, 523112, 52DIG10, E04B 132

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active

055243967

ABSTRACT:
A family of space structures having subdivided faces, where such faces are subdivided into rhombii in non-periodic arrangements. The rhombii are derived from regular planar stars with n vectors, and the source space structures are composed of regular polygons. The family includes: globally symmetric structures where the fundamental region is subdivided non-periodically, or globally asymmetric structures composed of regular polygons which are subdivided non-periodically or asymmetrically. The rhombii can be further subdivided periodically or non-periodically. The family further includes all regular polyhedra in the plane-faced and curve-faced states, regular tessellations, various curved polygons, cylinders and toroids, curved space labyrinths, and regular structures in higher-dimensional and hyperbolic space. The structures can be isolated structures or grouped to fill space. Applications include architectural space structures, fixed or retractable space frames, domes, vaults, saddle structures, plane or curved tiles, model-kits, toys, games, and artistic and sculptural works realized in 2- and 3-dimensions. The structures could be composed of individual units capable of being assembled or disassembled, or structures which are cast in one piece, or combination of both. Various tensile and compressive structural systems, and techniques of triangulation could be used as needed for stability.

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Regular Polytopes by H. S. M. Coxeter, Dover, 1963, pp. 27-33.

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