Elements
| n | 1k2 | Petrie polygon projection |
Name Coxeter-Dynkin diagram |
Facets | Elements | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 1k-1,2 | (n-1)-demicube | Vertices | Edges | Faces | Cells | 4-faces | 5-faces | 6-faces | 7-faces | ||||
| 4 | 102 | 120 |
-- | 5 110 |
5 | 10 | 10 |
5 |
|||||
| 5 | 112 | 121 |
16 120 |
10 111 |
16 | 80 | 160 |
120 |
26 |
||||
| 6 | 122 | 122 |
27 112 |
27 121 |
72 | 720 | 2160 |
2160 |
702 |
54 |
|||
| 7 | 132 | 132 |
56 122 |
126 131 |
576 | 10080 | 40320 |
50400 |
23688 |
4284 |
182 |
||
| 8 | 142 | 142 |
240 132 |
2160 141 |
17280 | 483840 | 2419200 |
3628800 |
2298240 |
725760 |
106080 |
2400 |
|
| 9 | 152 | 152 (8-space tessellation) |
∞ 142 |
∞ 151 |
∞ | ||||||||
| 10 | 162 | 162 (9-space hyperbolic tessellation) |
∞ 152 |
∞ 161 |
∞ | ||||||||
Read more about this topic: Uniform 1 K2 Polytope
Famous quotes containing the word elements:
“A party of order or stability, and a party of progress or reform, are both necessary elements of a healthy state of political life.”
—John Stuart Mill (18061873)
“There surely is a being who presides over the universe; and who, with infinite wisdom and power, has reduced the jarring elements into just order and proportion. Let speculative reasoners dispute, how far this beneficent being extends his care, and whether he prolongs our existence beyond the grave, in order to bestow on virtue its just reward, and render it fully triumphant.”
—David Hume (17111776)
“Our institutions have a potent digestion, and may in time convert and assimilate to good all elements thrown in, however originally alien.”
—Herman Melville (18191891)