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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 infinite-order square tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of t{4,∞}. Uniform color.
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 pentagonal tiling; Truncated order-6 square tiling This page was last edited on 3 November 2014, at 05:48 (UTC). Text is available under the ...
Truncated order-6 square tiling with *443 symmetry mirror lines The dual tiling represents the fundamental domains of the *443 orbifold symmetry. There are two reflective subgroup kaleidoscopic constructed from [(4,4,3)] by removing one or two of three mirrors.
An example of uniform tiling in the Archeological Museum of Seville, Sevilla, Spain: rhombitrihexagonal tiling Regular tilings and their duals drawn by Max Brückner in Vielecke und Vielflache (1900) This table shows the 11 convex uniform tilings (regular and semiregular) of the Euclidean plane , and their dual tilings.
Truncated heptagonal tiling; Truncated hexagonal tiling; Truncated hexaoctagonal tiling; Truncated octagonal tiling; Truncated order-7 triangular tiling; Truncated order-8 hexagonal tiling; Truncated order-8 triangular tiling; Truncated pentahexagonal tiling; Truncated square tiling; Truncated tetraapeirogonal tiling; Truncated tetrahexagonal ...
T. Tetraheptagonal tiling; Tetrahexagonal tiling; Tetraoctagonal tiling; Tetrapentagonal tiling; Truncated infinite-order square tiling; Truncated infinite-order triangular tiling