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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-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-5 square tiling Poincaré disk model of the hyperbolic plane: Type: Hyperbolic uniform tiling: Vertex configuration: 8.8.5 Schläfli symbol: t{4,5} Wythoff symbol: 2 5 | 4 Coxeter diagram: Symmetry group [5,4], (*542) Dual: Order-4 pentakis pentagonal tiling: Properties: Vertex-transitive
T. Tetraheptagonal tiling; Tetrahexagonal tiling; Tetraoctagonal tiling; Tetrapentagonal tiling; Truncated infinite-order square tiling; Truncated infinite-order triangular tiling
§2.1 Uniform tiling, Archimedean tiling, elongated triangular tiling, snub square tiling, truncated square tiling, truncated hexagonal tiling, trihexagonal tiling, snub trihexagonal tiling, rhombitrihexagonal tiling, §2.2 list of k-uniform tilings, demiregular tiling, 3-4-3-12 tiling, 3-4-6-12 tiling, 33344-33434 tiling, §2.3 k-isotoxal ...
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.