Truncated Square Tiling
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High Quality Content by WIKIPEDIA articles! In geometry, the truncated square tiling is a semiregular tiling of the Euclidean plane. There is one square and two octagons on each vertex. This is the only edge-to-edge tiling by regular convex polygons which contains an octagon. It has Schläfli symbol of t0,1{4,4}. Conway calls it a truncated quadrille, constructed as a truncation operation applied to a square tiling (quadrille). Other names used for this pattern include Mediterranean tiling and octagonal tiling. There are 3 regular and 8 semiregular tilings in the plane. This tiling which…mehr

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High Quality Content by WIKIPEDIA articles! In geometry, the truncated square tiling is a semiregular tiling of the Euclidean plane. There is one square and two octagons on each vertex. This is the only edge-to-edge tiling by regular convex polygons which contains an octagon. It has Schläfli symbol of t0,1{4,4}. Conway calls it a truncated quadrille, constructed as a truncation operation applied to a square tiling (quadrille). Other names used for this pattern include Mediterranean tiling and octagonal tiling. There are 3 regular and 8 semiregular tilings in the plane. This tiling which alternates large and small squares can be seen as topologically identical to the truncated square tiling. The squares are rotated 45 degrees and octagons are distorted into squares with mid-edge vertices.