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|- |bgcolor=#e7dcc3|Coxeter-Dynkin diagram|| |- |bgcolor=#e7dcc3|Cells||600 (''3.3.3.3'') 120 |- |bgcolor=#e7dcc3|Faces||1200+2400 |- |bgcolor=#e7dcc3|Edges||3600 |- |bgcolor=#e7dcc3|Vertices||720 |- |bgcolor=#e7dcc3|Vertex figure|| pentagonal prism |- |bgcolor=#e7dcc3|Symmetry group||H4, (), order 14400 |- |bgcolor=#e7dcc3|Properties||convex, vertex-transitive, edge-transitive |} In geometry, the rectified 600-cell or rectified hexacosichoron is a convex uniform 4-polytope composed of 600 regular octahedra and 120 icosahedra cells. Each edge has two octahedra and one icosahedron. Each vertex has five octahedra and two icosahedra. In total it has 3600 triangle faces, 3600 edges, and 720 vertices. Containing the cell realms of both the regular 120-cell and the regular 600-cell, it can be considered analogous to the polyhedron icosidodecahedron, which is a rectified icosahedron and rectified dodecahedron. The vertex figure of the rectified 600-cell is a uniform pentagonal prism. == Semiregular polytope == It is one of three semiregular 4-polytopes made of two or more cells which are Platonic solids, discovered by Thorold Gosset in his 1900 paper. He called it a ''octicosahedric'' for being made of octahedron and icosahedron cells. E. L. Elte identified it in 1912 as a semiregular polytope, labeling it as tC600. 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「Rectified 600-cell」の詳細全文を読む スポンサード リンク
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