Elements
| n | 2k1 | Petrie polygon projection |
Name Coxeter-Dynkin diagram |
Facets | Elements | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 2k-1,1 polytope | (n-1)-simplex | Vertices | Edges | Faces | Cells | 4-faces | 5-faces | 6-faces | 7-faces | ||||
| 4 | 201 | 5-cell {32,0,1} |
-- | 5 {33} |
5 | 10 | 10 |
5 | |||||
| 5 | 211 | pentacross {32,1,1} |
16 {32,0,1} |
16 {34} |
10 | 40 | 80 |
80 |
32 |
||||
| 6 | 221 | 2 21 polytope {32,2,1} |
27 {32,1,1} |
72 {35} |
27 | 216 | 720 |
1080 |
648 |
99 |
|||
| 7 | 231 | 2 31 polytope {32,3,1} |
56 {32,2,1} |
576 {36} |
126 | 2016 | 10080 |
20160 |
16128 |
4788 |
632 |
||
| 8 | 241 | 2 41 polytope {32,4,1} |
240 {32,3,1} |
17280 {37} |
2160 | 69120 | 483840 |
1209600 |
1209600 |
544320 |
144960 |
17520 |
|
| 9 | 251 | 2 51 honeycomb (8-space tessellation) {32,5,1} |
∞ {32,4,1} |
∞ {38} |
∞ | ||||||||
| 10 | 261 | 2 61 honeycomb (9-space tessellation) {32,6,1} |
∞ {32,5,1} |
∞ {39} |
∞ | ||||||||
Read more about this topic: Uniform 2 K1 Polytope
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