| Truncated 7-demicube | |
|---|---|
D7 Coxeter plane projection |
|
| Type | uniform polyexon |
| Schläfli symbol | t0,1{3,34,1} |
| Coxeter-Dynkin diagram | |
| 6-faces | |
| 5-faces | |
| 4-faces | |
| Cells | |
| Faces | |
| Edges | 7392 |
| Vertices | 1344 |
| Coxeter groups | D7, [34,1,1] |
| Properties | convex |
In seven-dimensional geometry, a truncated 7-demicube is a uniform 7-polytope, being a truncation of the 7-demicube.
Contents |
The Cartesian coordinates for the 1344 vertices of a truncated 7-demicube centered at the origin and edge length 6√2 are coordinate permutations:
with an odd number of plus signs.
| Coxeter plane | B7 | D7 | D6 |
|---|---|---|---|
| Graph | |||
| Dihedral symmetry | [14/2] | [12] | [10] |
| Coxeter plane | D5 | D4 | D3 |
| Graph | |||
| Dihedral symmetry | [8] | [6] | [4] |
| Coxeter plane | A5 | A3 | |
| Graph | |||
| Dihedral symmetry | [6] | [4] |
There are 95 uniform polytopes with D6 symmetry, 63 are shared by the B6 symmetry, and 32 are unique:
t0(141) |
t0,1(141) |
t0,2(141) |
t0,3(141) |
t0,4(141) |
t0,5(141) |
t0,1,2(141) |
t0,1,3(141) |
t0,1,4(141) |
t0,1,5(141) |
t0,2,3(141) |
t0,2,4(141) |
t0,2,5(141) |
t0,3,4(141) |
t0,3,5(141) |
t0,4,5(141) |
t0,1,2,3(141) |
t0,1,2,4(141) |
t0,1,2,5(141) |
t0,1,3,4(141) |
t0,1,3,5(141) |
t0,1,4,5(141) |
t0,2,3,4(141) |
t0,2,3,5(141) |
t0,2,4,5(141) |
t0,3,4,5(141) |
t0,1,2,3,4(141) |
t0,1,2,3,5(141) |
t0,1,2,4,5(141) |
t0,1,3,4,5(141) |
t0,2,3,4,5(141) |
t0,1,2,3,4,5(141) |