| 摘要 |
A family of non-convex and convex tiles which can be tiled together to fill a planar surface in a periodic or non-periodic manner. The tiles are derived from planar space frames composed of a plurality of regular p-sided polygonal nodes coupled by a plurality of struts. p is any odd number greater than three and an even number greater than six. The nodes and struts, along with the areas bounded by them, make up a tiling system. In addition, the lines joining the along the center lines of the struts define a large family of convex and non-convex tiles. The convex tiles include zonogons, and the non-convex tiles include tiles with one or more concave vertices including singly-concave, bi-concave (doubly-concave), multiply-concave and S-shaped tiles. The tiles can be converted to 3-dimensional space-filling blocks. When these blocks are hollow and inter-connected, architectural environments are possible. Other applications include tiles for walls, floors, and various architectural and other surfaces, environments, toys, puzzles, furniture and furnishings. Special art pieces, murals and sculptures are possible.
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