| 摘要 |
A building system composed of space-filling convex and non-convex saddle zonogons which fit together periodically and non-periodically into a variety of orderly and irregular looking space structures including saddle zonohedra, single-, double- and multi-layered structures, multi-directional space-filling structures and curved space labyrinths. The saddle zonogons are derived from the infinite class of plane zonogons, and the saddle zonohedra from the infinite class of plane-faced zonohedra. The surfaces of the saddle polygons could be continuously curved surfaces of faceted polygonal surfaces derived from minimal surfaces. The curved surfaces could be flexible membranes or 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. Applications of the system include architectural and environmental structures, fixed or retractable space frames, decks or platforms, educational kits or toys, curved tiles, and saddle polyhedra nodes for space frames.
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