)Regular polytopes, pp.49-50, p.98|-|b……">

翻訳と辞書 Words near each other ・ Compound key ・ Compound lever ・ Compound locomotive ・ Compound management ・ Compound matrix ・ Compound meter ・ Compound modifier ・ Compound muscle action potential ・ Compound nevus ・ Compound NJ2 ・ Compound of cube and octahedron ・ Compound of cubes ・ Compound of dodecahedron and icosahedron ・ Compound of eight octahedra with rotational freedom ・ Compound of eight triangular prisms ・ Compound of five cubes ・ Compound of five cuboctahedra ・ Compound of five cubohemioctahedra ・ Compound of five great cubicuboctahedra ・ Compound of five great dodecahedra ・ Compound of five great icosahedra ・ Compound of five great rhombihexahedra ・ Compound of five icosahedra ・ Compound of five nonconvex great rhombicuboctahedra ・ Compound of five octahedra ・ Compound of five octahemioctahedra ・ Compound of five rhombicuboctahedra ・ Compound of five small cubicuboctahedra ・ Compound of five small rhombihexahedra ・ Compound of five small stellated dodecahedra Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Compound of five cubes ： ウィキペディア英語版 Compound of five cubes " TITLE="5">)〔Regular polytopes, pp.49-50, p.98〕 |- |bgcolor=#e7dcc3|Stellation core||rhombic triacontahedron |- |bgcolor=#e7dcc3|Convex hull||Dodecahedron |- |bgcolor=#e7dcc3|Index||UC9 |- |bgcolor=#e7dcc3|Polyhedra||5 cubes |- |bgcolor=#e7dcc3|Faces||30 squares |- |bgcolor=#e7dcc3|Edges||60 |- |bgcolor=#e7dcc3|Vertices||20 |- |bgcolor=#e7dcc3|Dual||Compound of five octahedra |- |bgcolor=#e7dcc3|Symmetry group||icosahedral (''I''h) |- |bgcolor=#e7dcc3|Subgroup restricting to one constituent||pyritohedral (''T''h) |} The compound of five cubes is one of the five regular polyhedral compounds. This compound was first described by Edmund Hess in 1876. It is one of five regular compounds, and dual to the compound of five octahedra. It can be seen as a faceting of a regular dodecahedron. It is one of the stellations of the rhombic triacontahedron. It has icosahedral symmetry (Ih). ==Geometry== The compound is a faceting of a dodecahedron. Each cube represents one orientation of 8 of 12 vertices within a dodecahedron convex hull. If the shape is considered as a union of five cubes yielding a simple concave solid without self-intersecting surfaces, then it has 360 faces (all triangles), 182 vertices (60 with degree 3, 30 with degree 4, 12 with degree 5, 60 with degree 8, and 20 with degree 12), and 540 edges, yielding an Euler characteristic of 182-540+360 = +2. 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「Compound of five cubes」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.