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In geometry, the snub hexagonal tiling (or ''snub trihexagonal tiling'') is a semiregular tiling of the Euclidean plane. There are four triangles and one hexagon on each vertex. It has Schläfli symbol of ''sr''. The snub tetrahexagonal tiling is a related hyperbolic tiling with Schläfli symbol ''sr''. Conway calls it a snub hextille, constructed as a snub operation applied to a hexagonal tiling (hextille). There are 3 regular and 8 semiregular tilings in the plane. This is the only one which does not have a reflection as a symmetry. There is only one uniform coloring of a snub trihexagonal tiling. (Naming the colors by indices (3.3.3.3.6): 11213.) == Circle packing == The snub trihexagonal tiling can be used as a circle packing, placing equal diameter circles at the center of every point. Every circle is in contact with 5 other circles in the packing (kissing number).〔Order in Space: A design source book, Keith Critchlow, p.74-75, pattern E〕 The lattice domain (red rhombus) repeats 6 distinct circles. The hexagonal gaps can be filled by exactly one circle, leading to the densest packing from the triangular tiling#circle packing. 320px 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Snub trihexagonal tiling」の詳細全文を読む スポンサード リンク
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