Cantic 8-cube
| Cantic 8-cube | |
|---|---|
D8 Coxeter plane projection | |
| Type | uniform 8-polytope |
| Schläfli symbol | t0,1{3,35,1} h2{4,3,3,3,3,3,3} |
| Coxeter-Dynkin diagram | |
| 7-faces | 16 truncated 7-demicubes 128 truncated 7-simplexes 128 rectified 7-simplexes |
| 6-faces | 112 truncated 6-demicubes 1024 truncated 6-simplexes 1024 rectified 6-simplexes 1024 6-simplexes |
| 5-faces | 448 truncated 5-demicubes 3584 truncated 5-simplexes 3584 rectified 5-simplexes 7168 5-simplexes |
| 4-faces | 1120 truncated 16-cells 7168 truncated 5-cells 7168 rectified 5-cells 21504 5-cells |
| Cells | 1792 truncated tetrahedra 8960 truncated tetrahedra 8960 octahedra 35840 tetrahedra |
| Faces | 7168 hexagons 7168 triangles 35840 triangles |
| Edges | 1792 segments 21504 segments |
| Vertices | 3584 |
| Vertex figure | ( )v{ }x{3,3,3,3} |
| Coxeter groups | D8, [35,1,1] |
| Properties | convex |
In eight-dimensional geometry, a cantic 8-cube or truncated 8-demicube is a uniform 8-polytope, being a truncation of the 8-demicube.