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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 5 21 honeycomb ： ウィキペディア英語版 5 21 honeycomb |- |bgcolor=#e7dcc3|7-faces|| |- |bgcolor=#e7dcc3|6-faces|| |- |bgcolor=#e7dcc3|5-faces|| |- |bgcolor=#e7dcc3|4-faces|| |- |bgcolor=#e7dcc3|Cells|| |- |bgcolor=#e7dcc3|Faces|| |- |bgcolor=#e7dcc3|Cell figure||121 |- |bgcolor=#e7dcc3|Face figure||221 |- |bgcolor=#e7dcc3|Edge figure||321 |- |bgcolor=#e7dcc3|Vertex figure||421 |- |bgcolor=#e7dcc3|Symmetry group||$$ In geometry, the 521 honeycomb is a uniform tessellation of 8-dimensional Euclidean space. The symbol 521 is from Coxeter, named for the length of the 3 branches of its Coxeter-Dynkin diagram.〔Coxeter, 1973, Chapter 5: The Kaleidoscope〕 This honeycomb was first studied by Gosset who called it a ''9-ic semi-regular figure'' (Gosset regarded honeycombs in ''n'' dimensions as degenerate ''n''+1 polytopes). Each vertex of the 521 honeycomb is surrounded by 2160 8-orthoplexes and 17280 8-simplices. The vertex figure of Gosset's honeycomb is the semiregular 421 polytope. It is the final figure in the k21 family. This honeycomb is highly regular in the sense that its symmetry group (the affine $\{\backslash tilde\{E\}\}\_8$ Weyl group) acts transitively on the ''k''-faces for ''k'' ≤ 6. All of the ''k''-faces for ''k'' ≤ 7 are simplices. ==Construction== It is created by a Wythoff construction upon a set of 9 nodea 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 21 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.