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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:
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 ...
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
Truncated order-6 square tiling; This page was last edited on 3 November 2014, at 05:48 (UTC). Text is available under the Creative Commons Attribution ...
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.
In three-dimensional hyperbolic geometry, the alternated order-6 hexagonal tiling honeycomb is a uniform compact space-filling tessellation (or honeycomb).As an alternation, with Schläfli symbol h{4,3,6} and Coxeter-Dynkin diagram or , it can be considered a quasiregular honeycomb, alternating triangular tilings and tetrahedra around each vertex in a trihexagonal tiling vertex figure.
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