2_41 Polytope
| 241 polytope | |
|---|---|
| Type | Uniform 8-polytope |
| Family | 2k1 polytope |
| Schläfli symbol | {3,3,34,1} |
| Coxeter symbol | 241 |
| Coxeter-Dynkin diagram | |
| 7-faces | 17520: 240 231 17280 {36} |
| 6-faces | 144960: 6720 221 138240 {35} |
| 5-faces | 544320: 60480 211 483840 {34} |
| 4-faces | 1209600: 241920 {201 967680 {33} |
| Cells | 1209600 {32} |
| Faces | 483840 {3} |
| Edges | 69120 |
| Vertices | 2160 |
| Vertex figure | 141 |
| Petrie polygon | 30-gon |
| Coxeter group | E8, |
| Properties | convex |
The 241 is composed of 17,520 facets (240 231 polytopes, 17,280 7-simplices), 144,960 6-faces (6,720 221 polytopes, 138,240 6-simplices), 544,320 5-faces (60,480 211, 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:
Read more about this topic: 2 41 Polytope