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In geometry, a truncated 120-cell is a uniform 4-polytope formed as the truncation of the regular 120-cell. There are three trunctions, including a bitruncation, and a tritruncation, which creates the ''truncated 600-cell''. ==Truncated 120-cell== |- |bgcolor=#e7dcc3|Coxeter diagrams|| |- |bgcolor=#e7dcc3|Cells||600 3.3.3 120 3.10.10 |- |bgcolor=#e7dcc3|Faces||2400 triangles 720 decagons |- |bgcolor=#e7dcc3|Edges||4800 |- |bgcolor=#e7dcc3|Vertices||2400 |- |bgcolor=#e7dcc3|Vertex figure|| triangular pyramid |- |bgcolor=#e7dcc3|Dual||Tetrakis 600-cell |- |bgcolor=#e7dcc3|Symmetry group||H4, (), order 14400 |- |bgcolor=#e7dcc3|Properties||convex |} The truncated 120-cell or truncated hecatonicosachoron is a uniform 4-polytope, constructed by a uniform truncation of the regular 120-cell 4-polytope. It is made of 120 truncated dodecahedral and 600 tetrahedral cells. It has 3120 faces: 2400 being triangles and 720 being decagons. There are 4800 edges of two types: 3600 shared by three truncated dodecahedra and 1200 are shared by two truncated dodecahedra and one tetrahedron. Each vertex has 3 truncated dodecahedra and one tetrahedron around it. Its vertex figure is an equilateral triangular pyramid. 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「Truncated 120-cells」の詳細全文を読む スポンサード リンク
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