Related Polytopes and Honeycombs
| n | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
|---|---|---|---|---|---|---|---|---|
| Coxeter group |
E3=A2×A1 | E4=A4 | E5=D5 | E6 | E7 | E8 | E9 = = E8+ | E10 = E8++ |
| Coxeter diagram |
||||||||
| Symmetry (order) |
(12) |
(120) |
] (384) |
(51,840) |
(2,903,040) |
(696,729,600) |
(∞) |
(∞) |
| Graph | ∞ | ∞ | ||||||
| Name | 2-1,1 | 201 | 211 | 221 | 231 | 241 | 251 | 261 |
This polytope is one of 63 uniform polypeta generated from the B6 Coxeter plane, including the regular 6-cube or 6-orthoplex.
β5 |
t1β5 |
t2γ5 |
t1γ5 |
γ5 |
t0,1β5 |
t0,2β5 |
t1,2β5 |
t0,3β5 |
t1,3γ5 |
t1,2γ5 |
t0,4γ5 |
t0,3γ5 |
t0,2γ5 |
t0,1γ5 |
t0,1,2β5 |
t0,1,3β5 |
t0,2,3β5 |
t1,2,3γ5 |
t0,1,4β5 |
t0,2,4γ5 |
t0,2,3γ5 |
t0,1,4γ5 |
t0,1,3γ5 |
t0,1,2γ5 |
t0,1,2,3β5 |
t0,1,2,4β5 |
t0,1,3,4γ5 |
t0,1,2,4γ5 |
t0,1,2,3γ5 |
t0,1,2,3,4γ5 |
Read more about this topic: 5-orthoplex
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