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Rhombitrioctagonal tiling : ウィキペディア英語版 | Rhombitrioctagonal tiling
In geometry, the rhombitrioctagonal tiling is a semiregular tiling of the hyperbolic plane. At each vertex of the tiling there is one triangle and one octagon, alternating between two squares. The tiling has Schläfli symbol rr. It can be seen as constructed as a rectified trioctagonal tiling, r, as well as an expanded octagonal tiling or expanded order-8 triangular tiling. == Symmetry == This tiling has (), ( *832) symmetry. There is only one uniform coloring. Similar to the Euclidean rhombitrihexagonal tiling, by edge-coloring there is a half symmetry form (3 *4) orbifold notation. The octagons can be considered as truncated squares, t with two types of edges. It has Coxeter diagram , Schläfli symbol s2. The squares can be distorted into isosceles trapezoids. In the limit, where the rectangles degenerate into edges, an order-8 triangular tiling results, constructed as an snub tritetratrigonal tiling, .
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