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|- |bgcolor=#e7dcc3|Vertex figure||40px truncated tetrahedron |- |bgcolor=#e7dcc3|Coxeter groups||, () 1/2 , () 1/2 , |- |bgcolor=#e7dcc3|Properties||Vertex-uniform, edge-transitive, quasiregular |} In 3-dimensional hyperbolic geometry, the alternated hexagonal tiling honeycomb, h, or , with tetrahedron and triangular tiling cells, in an octahedron vertex figure. It is named by its construction as an alteration of a hexagonal tiling honeycomb. == Symmetry constructions == It has five alternated constructions from reflectional Coxeter groups all with four mirrors and only the first being regular: (), (), (), and , having 1, 4, 6, 12 and 24 times larger fundamental domains respectively. In Coxeter notation subgroup markups, they are related as: () (remove 3 mirrors, index 24 subgroup); () or () (remove 2 mirrors, index 6 subgroup); () (remove two orthogonal mirrors, index 4 subgroup); all of these are isomorphic to . The ringed Coxeter diagrams are , , , and , representing different types (colors) of hexagonal tilings in the Wythoff construction. 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「Alternated hexagonal tiling honeycomb」の詳細全文を読む スポンサード リンク
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