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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 A5 lattice ： ウィキペディア英語版 5-simplex honeycomb 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||t0,4 30px |- |bgcolor=#e7dcc3|Coxeter groups||$$ In five-dimensional Euclidean geometry, the 5-simplex honeycomb or hexateric honeycomb is a space-filling tessellation (or honeycomb or pentacomb). Each vertex is shared by 12 5-simplexes, 30 rectified 5-simplexes, and 20 birectified 5-simplexes. These facet types occur in proportions of 2:2:1 respectively in the whole honeycomb. == A5 lattice == This vertex arrangement is called the A5 lattice or 5-simplex lattice. The 30 vertices of the stericated 5-simplex vertex figure represent the 30 roots of the $\{\backslash tilde\{A\}\}\_5$ Coxeter group.〔http://www.math.rwth-aachen.de/~Gabriele.Nebe/LATTICES/A5.html〕 It is the 5-dimensional case of a simplectic honeycomb. The A lattice can be constructed as the union of two A5 lattices: : ∪ The A is the union of three A5 lattices: : ∪ ∪ . The A lattice (also called A) is the union of six A5 lattices, and is the dual vertex arrangement to the omnitruncated 5-simplex honeycomb, and therefore the Voronoi cell of this lattice is an omnitruncated 5-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「5-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.