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In four-dimensional geometry, a cantellated 5-cell is a convex uniform 4-polytope, being a cantellation (a 2nd order truncation) of the regular 5-cell. There are 2 unique degrees of runcinations of the 5-cell including with permutations truncations. ==Cantellated 5-cell== |- |bgcolor=#e7dcc3|Coxeter diagram |colspan=2| |- |bgcolor=#e7dcc3|Cells |20 |5 (3.4.3.4) 5 (3.3.3.3) 10 (3.4.4) |- |bgcolor=#e7dcc3|Faces |80 |50 30 |- |bgcolor=#e7dcc3|Edges |colspan=2|90 |- |bgcolor=#e7dcc3|Vertices |colspan=2|30 |- |bgcolor=#e7dcc3|Vertex figure |colspan=2| Irreg. triangular prism |- |bgcolor=#e7dcc3|Symmetry group |colspan=2|A4, (), order 120 |- |bgcolor=#e7dcc3|Properties |colspan=2|convex, isogonal |- |bgcolor=#e7dcc3|Uniform index |colspan=2|''3'' 4 ''5'' |} The cantellated 5-cell or small rhombated pentachroron is a uniform 4-polytope. It has 30 vertices, 90 edges, 80 faces, and 20 cells. The cells are 5 cuboctahedra, 5 octahedra, and 10 triangular prisms. Each vertex is surrounded by 2 cuboctahedra, 2 triangular prisms, and 1 octahedron; the vertex figure is a nonuniform triangular prism. 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「Cantellated 5-cell」の詳細全文を読む スポンサード リンク
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