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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 hexagonal tiling honeycomb ： ウィキペディア英語版 Order-4 hexagonal tiling honeycomb t0,1 |- |bgcolor=#e7dcc3|Coxeter diagrams|| ↔ ↔ File:CDel K6 636 11.png ↔ |- |bgcolor=#e7dcc3|Cells|| 40px 40px 40px |- |bgcolor=#e7dcc3|Faces||hexagon |- |bgcolor=#e7dcc3|Edge figure||square |- |bgcolor=#e7dcc3|Vertex figure|| octahedron, |- |bgcolor=#e7dcc3|Dual||Order-6 cubic honeycomb |- |bgcolor=#e7dcc3|Coxeter groups||3, () 3, () |- |bgcolor=#e7dcc3|Properties||Regular, quasiregular honeycomb |} In the field of hyperbolic geometry, the order-4 hexagonal tiling honeycomb arises as one of 11 regular paracompact honeycombs in 3-dimensional hyperbolic space. It is called paracompact because it has infinite cells. Each cell consists of a hexagonal tiling whose vertices lie on a horosphere: a flat plane in hyperbolic space that approaches a single ideal point at infinity. The Schläfli symbol of the order-4 hexagonal tiling honeycomb is . Since that of the hexagonal tiling of the plane is , this honeycomb has four such hexagonal tilings meeting at each edge. Since the Schläfli symbol of the octahedron is , the vertex figure of this honeycomb is an octahedron. Thus, 8 hexagonal tilings meet at each vertex of this honeycomb, and the six edges meeting at each vertex lie along three orthogonal axes.〔Coxeter ''The Beauty of Geometry'', 1999, Chapter 10, Table III〕 == Images== , shown here with one green apeirogon outlined by its horocycle |} 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 hexagonal tiling 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.