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In geometry, a truncated 24-cell is a uniform 4-polytope (4-dimensional uniform polytope) formed as the truncation of the regular 24-cell. There are two degrees of trunctions, including a bitruncation. == Truncated 24-cell== |- |bgcolor=#e7dcc3|Coxeter diagram |colspan=2| |- |bgcolor=#e7dcc3|Cells |48 |24 ''4.6.6'' 24 ''4.4.4'' |- |bgcolor=#e7dcc3|Faces |240 |144 96 |- |bgcolor=#e7dcc3|Edges |colspan=2|384 |- |bgcolor=#e7dcc3|Vertices |colspan=2|192 |- |bgcolor=#e7dcc3|Vertex figure |colspan=2| equilateral triangular pyramid |- |bgcolor=#e7dcc3|Symmetry group |colspan=2|F4 (), order 1152 |- |bgcolor=#e7dcc3|Rotation subgroup |colspan=2|()+, order 576 |- |bgcolor=#e7dcc3|Commutator subgroup |colspan=2|(), order 288 |- |bgcolor=#e7dcc3|Properties |colspan=2|convex zonohedron |- |bgcolor=#e7dcc3|Uniform index |colspan=2|''23'' 24 ''25'' |} The truncated 24-cell or truncated icositetrachoron is a uniform 4-dimensional polytope (or uniform 4-polytope), which is bounded by 48 cells: 24 cubes, and 24 truncated octahedra. Each vertex joins three truncated octahedra and one cube, in an equilateral triangular pyramid vertex figure. 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 24-cells」の詳細全文を読む スポンサード リンク
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