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In 8-dimensional geometry, the 241 is a uniform 8-polytope, constructed within the symmetry of the E8 group. Its Coxeter symbol is 241, describing its bifurcating Coxeter-Dynkin diagram, with a single ring on the end of the 2-node sequences. The rectified 241 is constructed by points at the mid-edges of the 241. The birectified 241 is constructed by points at the triangle face centers of the 241, and is the same as the rectified 142. These polytopes are part of a family of 255 (28 − 1) convex uniform polytopes in 8-dimensions, made of uniform polytope facets and vertex figures, defined by all permutations of rings in this Coxeter-Dynkin diagram: . == 241 polytope == |- |bgcolor=#e7dcc3|6-faces||144960: 6720 221 138240 |- |bgcolor=#e7dcc3|5-faces||544320: 60480 211 483840 |- |bgcolor=#e7dcc3|4-faces||1209600: 241920 |- |bgcolor=#e7dcc3|Faces||483840 |- |bgcolor=#e7dcc3|Edges||69120 |- |bgcolor=#e7dcc3|Vertices||2160 |- |bgcolor=#e7dcc3|Vertex figure||141 |- |bgcolor=#e7dcc3|Petrie polygon||30-gon |- |bgcolor=#e7dcc3|Coxeter group||E8, () |- |bgcolor=#e7dcc3|Properties||convex |} The 241 is composed of 17,520 facets (240 231 polytopes and 17,280 7-simplices), 144,960 ''6-faces'' (6,720 221 polytopes and 138,240 6-simplices), 544,320 5-faces (60,480 211 and 483,840 5-simplices), 1,209,600 ''4-faces'' (4-simplices), 1,209,600 cells (tetrahedra), 483,840 faces (triangles), 69,120 edges, and 2160 vertices. Its vertex figure is a 7-demicube. This polytope is a facet in the uniform tessellation, 251 with Coxeter-Dynkin diagram: : 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「2 41 polytope」の詳細全文を読む スポンサード リンク
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