The D10 Family
The D10 family has symmetry of order 1,857,945,600 (10 factorial x 29).
This family has 3×256−1=767 Wythoffian uniform polytopes, generated by marking one or more nodes of the D10 Coxeter-Dynkin diagram. Of these, 511 (2×256−1) are repeated from the B10 family and 256 are unique to this family, with 2 listed below. Bowers-style acronym names are given in parentheses for cross-referencing.
| # | Graph | Coxeter-Dynkin diagram Schläfli symbol Name |
Element counts | |||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 9-faces | 8-faces | 7-faces | 6-faces | 5-faces | 4-faces | Cells | Faces | Edges | Vertices | |||
| 1 | 10-demicube (hede) |
532 | 5300 | 24000 | 64800 | 115584 | 142464 | 122880 | 61440 | 11520 | 512 | |
| 2 | Truncated 10-demicube (thede) |
195840 | 23040 | |||||||||
Read more about this topic: Uniform 10-polytope
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