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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 Order-4 dodecahedral honeycomb ： ウィキペディア英語版 Order-4 dodecahedral honeycomb |- |bgcolor=#e7dcc3|Coxeter diagram|| ↔ |- |bgcolor=#e7dcc3|Cells|| 40px |- |bgcolor=#e7dcc3|Faces||pentagon |- |bgcolor=#e7dcc3|Edge figure||square |- |bgcolor=#e7dcc3|Vertex figure|| octahedron |- |bgcolor=#e7dcc3|Dual||Order-5 cubic honeycomb |- |bgcolor=#e7dcc3|Coxeter group||3, () 3, () |- |bgcolor=#e7dcc3|Properties||Regular, Quasiregular honeycomb |} In the geometry of hyperbolic 3-space, the order-4 dodecahedral honeycomb is one of four compact regular space-filling tessellations (or honeycombs). With Schläfli symbol , it has four dodecahedra around each edge, and 8 dodecahedra around each vertex in an octahedral arrangement. Its vertices are constructed from 3 orthogonal axes. Its dual is the order-5 cubic honeycomb. ==Description== The dihedral angle of a dodecahedron is ~116.6°, so it is impossible to fit 4 of them on an edge in Euclidean 3-space. However in hyperbolic space a properly scaled dodecahedron can be scaled so that its dihedral angles are reduced to 90 degrees, and then four fit exactly on every edge. 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「Order-4 dodecahedral 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.