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In geometry, a truncated 5-cell is a uniform 4-polytope (4-dimensional uniform polytope) formed as the truncation of the regular 5-cell. There are two degrees of trunctions, including a bitruncation. == Truncated 5-cell== |- |bgcolor=#e7dcc3|Coxeter diagram |colspan=2| |- |bgcolor=#e7dcc3|Cells |10 |5 (''3.3.3'') 5 (''3.6.6'') |- |bgcolor=#e7dcc3|Faces |30 |20 10 |- |bgcolor=#e7dcc3|Edges |colspan=2|40 |- |bgcolor=#e7dcc3|Vertices |colspan=2|20 |- |bgcolor=#e7dcc3|Vertex figure |colspan=2| Irr. tetrahedron |- |bgcolor=#e7dcc3|Symmetry group |colspan=2|A4, (), order 120 |- |bgcolor=#e7dcc3|Properties |colspan=2|convex, isogonal |- |bgcolor=#e7dcc3|Uniform index |colspan=2|''2'' 3 ''4'' |} The truncated 5-cell, truncated pentachoron or truncated 4-simplex is bounded by 10 cells: 5 tetrahedra, and 5 truncated tetrahedra. Each vertex is surrounded by 3 truncated tetrahedra and one tetrahedron; the vertex figure is an elongated tetrahedron. 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 5-cell」の詳細全文を読む スポンサード リンク
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