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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク A6 lattice ： ウィキペディア英語版 6-simplex honeycomb 30px, t1 30px t2 30px |- |bgcolor=#e7dcc3|5-face types|| 30px, t1 30px t2 30px |- |bgcolor=#e7dcc3|4-face types|| 30px, t1 30px |- |bgcolor=#e7dcc3|Cell types|| 30px, t1 30px |- |bgcolor=#e7dcc3|Face types|| 30px |- |bgcolor=#e7dcc3|Vertex figure||t0,5 30px |- |bgcolor=#e7dcc3|Symmetry||$$ In six-dimensional Euclidean geometry, the 6-simplex honeycomb is a space-filling tessellation (or honeycomb). The tessellation fills space by 6-simplex, rectified 6-simplex, and birectified 6-simplex facets. These facet types occur in proportions of 1:1:1 respectively in the whole honeycomb. == A6 lattice == This vertex arrangement is called the A6 lattice or 6-simplex lattice. The 42 vertices of the expanded 6-simplex vertex figure represent the 42 roots of the $\{\backslash tilde\{A\}\}\_6$ Coxeter group.〔http://www2.research.att.com/~njas/lattices/A6.html〕 It is the 6-dimensional case of a simplectic honeycomb. Around each vertex figure are 126 facets: 7+7 6-simplex, 21+21 rectified 6-simplex, 35+35 birectified 6-simplex, with the count distribution from the 8th row of Pascal's triangle. The A lattice (also called A) is the union of seven A6 lattices, and has the vertex arrangement of the dual to the omnitruncated 6-simplex honeycomb, and therefore the Voronoi cell of this lattice is the omnitruncated 6-simplex. : ∪ ∪ ∪ ∪ ∪ ∪ = dual of 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「6-simplex honeycomb」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.