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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 7-simplex honeycomb ： ウィキペディア英語版 7-simplex honeycomb 30px, t1 30px t2 30px, t3 30px |- |bgcolor=#e7dcc3|6-face types|| 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||t0,6 30px |- |bgcolor=#e7dcc3|Symmetry||$$ In seven-dimensional Euclidean geometry, the 7-simplex honeycomb is a space-filling tessellation (or honeycomb). The tessellation fills space by 7-simplex, rectified 7-simplex, birectified 7-simplex, and trirectified 7-simplex facets. These facet types occur in proportions of 2:2:2:1 respectively in the whole honeycomb. == A7 lattice == This vertex arrangement is called the A7 lattice or 7-simplex lattice. The 56 vertices of the expanded 7-simplex vertex figure represent the 56 roots of the $\}\_7$ contains $\}\_7$ and $\{\backslash tilde\{A\}\}\_7$ can be seen as affine extensions from $A\_7$ from different nodes: File:Affine_A7_E7_relations.png The A lattice can be constructed as the union of two A7 lattices, and is identical to the E7 lattice. : ∪ = . The A lattice is the union of four A7 lattices, which is identical to the E7 * lattice (or E). : ∪ ∪ ∪ = + = dual of . The A lattice (also called A) is the union of eight A7 lattices, and has the vertex arrangement to the dual honeycomb of the omnitruncated 7-simplex honeycomb, and therefore the Voronoi cell of this lattice is an omnitruncated 7-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「7-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.