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
Famous quotes containing the word elements:
“Nature confounds her summer distinctions at this season. The heavens seem to be nearer the earth. The elements are less reserved and distinct. Water turns to ice, rain to snow. The day is but a Scandinavian night. The winter is an arctic summer.”
—Henry David Thoreau (1817–1862)
“The poem has a social effect of some kind whether or not the poet wills it to have. It has kinetic force, it sets in motion ... [ellipsis in source] elements in the reader that would otherwise be stagnant.”
—Denise Levertov (b. 1923)
“But all subsists by elemental strife;
And Passions are the elements of Life.”
—Alexander Pope (1688–1744)