Elements
| n-ic | k21 | Graph | Name Coxeter-Dynkin diagram |
Facets | Elements | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| (n − 1)-simplex {3n−2} |
(n − 1)-orthoplex {3n−4,1,1} |
Vertices | Edges | Faces | Cells | 4-faces | 5-faces | 6-faces | 7-faces | ||||
| 3-ic | −121 | Triangular prism |
2 triangles |
3 squares |
6 | 9 | 5 | ||||||
| 4-ic | 021 | Rectified 5-cell |
5 tetrahedron |
5 octahedron |
10 | 30 | 30 | 10 | |||||
| 5-ic | 121 | Demipenteract |
16 5-cell |
10 16-cell |
16 | 80 | 160 | 120 | 26 | ||||
| 6-ic | 221 | 221 polytope |
72 5-simplexes |
27 5-orthoplexes |
27 | 216 | 720 | 1080 | 648 | 99 | |||
| 7-ic | 321 | 321 polytope |
576 6-simplexes |
126 6-orthoplexes |
56 | 756 | 4032 | 10080 | 12096 | 6048 | 702 | ||
| 8-ic | 421 | 421 polytope |
17280 7-simplexes |
2160 7-orthoplexes |
240 | 6720 | 60480 | 241920 | 483840 | 483840 | 207360 | 19440 | |
| 9-ic | 521 |
521 honeycomb |
∞ 8-simplexes |
∞ 8-orthoplexes |
∞ | ||||||||
| 10-ic | 621 |
621 honeycomb |
∞ 9-simplexes |
∞ 9-orthoplexes |
∞ | ||||||||
Read more about this topic: Uniform K 21 Polytope
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