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The truncated square tiling is used in an optical illusion with truncated vertices divides and colored alternately, seeming to twist the grid.. The truncated square tiling is topologically related as a part of sequence of uniform polyhedra and tilings with vertex figures 4.2n.2n, extending into the hyperbolic plane:
In geometry, the truncated order-5 square tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of t 0,1 {4,5}. Related polyhedra and tiling
In geometry, the truncated infinite-order square tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of t{4,∞}. Uniform color.
The last five chapters survey a variety of advanced topics in tiling theory: colored patterns and tilings, polygonal tilings, aperiodic tilings, Wang tiles, and tilings with unusual kinds of tiles. Each chapter open with an introduction to the topic, this is followed by the detailed material of the chapter, much previously unpublished, which is ...
Truncated order-5 square tiling; Truncated order-6 dodecahedral honeycomb; Truncated order-6 hexagonal tiling; Truncated order-6 hexagonal tiling honeycomb; Truncated order-6 octagonal tiling; Truncated order-6 pentagonal tiling; Truncated order-6 square tiling; Truncated order-6 tetrahedral honeycomb; Truncated order-7 heptagonal tiling ...
T. Tetraheptagonal tiling; Tetrahexagonal tiling; Tetraoctagonal tiling; Tetrapentagonal tiling; Truncated infinite-order square tiling; Truncated infinite-order triangular tiling
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