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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 Simplicial polytope ： ウィキペディア英語版 Simplicial polytope In geometry, a simplicial polytope is a polytope whose facets are all simplices. For example, a ''simplicial polyhedron'' in 3 dimensions contains only triangular faces〔Polyhedra, Peter R. Cromwell, 1997. (p.341)〕 and corresponds via Steinitz's theorem to a maximal planar graph. They are topologically dual to simple polytopes. Polytopes which are both simple and simplicial are either simplices or two-dimensional polygons. == Examples == Simplicial polyhedra include: * Bipyramids * Gyroelongated dipyramids *Deltahedra (equilateral triangles) * * Platonic * * * tetrahedron, octahedron, icosahedron * * Johnson solids: * * *triangular bipyramid, pentagonal bipyramid, snub disphenoid, triaugmented triangular prism, gyroelongated square dipyramid * Catalan solids: * * triakis tetrahedron, triakis octahedron, tetrakis hexahedron, disdyakis dodecahedron, triakis icosahedron, pentakis dodecahedron, disdyakis triacontahedron Simplicial tilings: * Regular: * * triangular tiling *Laves tilings: * * tetrakis square tiling, triakis triangular tiling, bisected hexagonal tiling Simplicial 4-polytopes include: *convex regular 4-polytope * * 4-simplex, 16-cell, 600-cell * Dual convex uniform honeycombs: * *Disphenoid tetrahedral honeycomb * *Dual of cantitruncated cubic honeycomb * *Dual of omnitruncated cubic honeycomb * *Dual of cantitruncated alternated cubic honeycomb Simplicial higher polytope families: *simplex *cross-polytope (Orthoplex) 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「Simplicial polytope」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.