Cantic 7-cube
| Cantic 7-cube Truncated 7-demicube | |
|---|---|
D7 Coxeter plane projection | |
| Type | uniform 7-polytope |
| Schläfli symbol | t{3,34,1} h2{4,3,3,3,3,3} |
| Coxeter diagram | |
| 6-faces | 14 truncated 6-demicubes 64 truncated 6-simplexes 64 rectified 6-simplexes |
| 5-faces | 84 truncated 5-demicubes 448 truncated 5-simplexes 448 rectified 5-simplexes 448 5-simplexes |
| 4-faces | 280 truncated 16-cells 1344 truncated 5-cells 1344 rectified 5-cells 2688 5-cells |
| Cells | 560 truncated tetrahedra 2240 truncated tetrahedra 2240 octahedra 6720 tetrahedra |
| Faces | 2240 hexagons 2240 triangles 8960 triangles |
| Edges | 672 segments 6720 segments |
| Vertices | 1344 |
| Vertex figure | ( )v{ }x{3,3,3} |
| Coxeter groups | D7, [34,1,1] |
| Properties | convex |
In seven-dimensional geometry, a cantic 7-cube or truncated 7-demicube as a uniform 7-polytope, being a truncation of the 7-demicube.
A uniform 7-polytope is vertex-transitive and constructed from uniform 6-polytope facets, and can be represented a coxeter diagram with ringed nodes representing active mirrors. A demihypercube is an alternation of a hypercube.
Its 3-dimensional analogue would be a truncated tetrahedron (truncated 3-demicube), and Coxeter diagram or as a cantic cube.