Uniform K 21 Polytope - Elements

Elements

Gosset semiregular figures
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

 ∞

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