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Aperiodic tiling [computer graphics]

机译:非定期平铺[计算机图形学]

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摘要

One of the most interesting ways of assembling small units is along one of the lattices that make up crystals. In this column I live entirely in a 2D world, so the crystals are nothing but collections of polygons in the plane. It is well known that there are only three regular polygons that can tile the plane. Here the verb tile means to cover the infinite plane with a set of polygons so that no gaps or overlaps exist among the polygons. Each polygon is called a tile and the composite pattern is called a tiling.
机译:组装小部件最有趣的方法之一是沿着构成晶体的晶格之一。在本专栏中,我完全生活在2D世界中,因此晶体不过是平面中多边形的集合。众所周知,只有三个规则多边形可以平铺该平面。在这里,动词块意味着用一组多边形覆盖无限的平面,从而在多边形之间不存在间隙或重叠。每个多边形称为图块,而合成图案称为图块。

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