Category:Tetrakis square tiling
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English: The Tetrakis square tiling is a tiling of the plane by isosceles right triangles, formed by subdividing each squares of a square grid into four triangles meeting at the center of each square. Alternatively, it can be formed by subdividing each square of a grid into two triangles by a diagonal, with the diagonals alternating in direction, or by overlaying two square grids, one rotated by 45 degrees from the other and scaled by a factor of √2. It has p4m symmetry (uncolored), and forms the underlying structure for the game boards in the games of Fanorona, Adugo, and Hare and Hounds.
square tiling with each square divided into four isosceles right triangles | |||||
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Subcategories
This category has the following 3 subcategories, out of 3 total.
Media in category "Tetrakis square tiling"
The following 26 files are in this category, out of 26 total.
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642 symmetry 000.png 2,518 × 2,518; 1.3 MB
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642 symmetry 00a.png 2,519 × 2,519; 905 KB
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642 symmetry a00.png 2,519 × 2,519; 843 KB
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642 symmetry a0a.png 2,519 × 2,519; 827 KB
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642 symmetry mirrors.png 2,518 × 2,518; 1.3 MB
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Floor tiling with tetrakis tiles.jpg 798 × 887; 62 KB
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Hare and Hounds board.png 505 × 287; 5 KB
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Koushi-syakoushi 10x10.svg 500 × 500; 2 KB
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Koushi-syakoushi.jpg 500 × 500; 81 KB
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Koushisyakoushi2.JPG 500 × 500; 51 KB
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Koushisyakoushi2.svg 602 × 602; 751 bytes
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Krotenheerdt 1-Dual-Uniform 5 (RightIso).png 4,924 × 4,924; 943 KB
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P1 dual.png 992 × 992; 104 KB
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Patchworkmill.jpg 2,592 × 1,944; 1.65 MB
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Quilt - broken dishes pattern.jpg 1,600 × 1,200; 565 KB
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SymBlend p4m.svg 990 × 354; 238 KB
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Symmetric Tiling Dual 11 Kisquadrille III.svg 831 × 831; 33 KB
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Symmetric Tiling Dual 5 Kisquadrille I.svg 831 × 831; 18 KB
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Symmetric Tiling Dual 7 Kisquadrille II.svg 831 × 831; 18 KB
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Tetrakis square tiling.png 400 × 400; 9 KB
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Tile V488 bicolor.svg 320 × 320; 1,007 bytes
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Tile V488.svg 320 × 320; 1,006 bytes
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Tiling Dual Semiregular V4-8-8 Tetrakis Square-2-color-zoom.svg 396 × 396; 3 KB
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Tiling Dual Semiregular V4-8-8 Tetrakis Square-2-color.svg 400 × 400; 2 KB
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Tiling Dual Semiregular V4-8-8 Tetrakis Square.svg 400 × 400; 2 KB
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Vertex Regular Polygon (15) V4.8.8.png 803 × 802; 12 KB