pentellated octaexon
- general polytopal classes:
- Wythoffian polyexa
links
| Acronym | seto |
| Name |
small terated octaexon, pentellated octaexon |
| Circumradius | sqrt(23)/4 = 1.198958 |
| Face vector | 168, 1260, 3640, 5460, 4452, 1764, 226 |
| Confer |
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External links |
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Incidence matrix according to Dynkin symbol
x3o3o3o3o3x3o . . . . . . . | 168 | 5 10 | 10 40 20 5 | 10 60 60 20 20 10 | 5 40 60 30 40 30 10 10 | 1 10 20 20 20 30 10 20 2 5 | 2 5 10 10 5 1 --------------+-----+---------+-------------------+---------------------------+----------------------------------+--------------------------------------+---------------- x . . . . . . | 2 | 420 * | 4 8 0 0 | 6 24 12 4 0 0 | 4 24 24 12 8 6 0 0 | 1 8 12 12 8 12 2 4 0 0 | 2 4 6 4 1 0 . . . . . x . | 2 | * 840 | 0 4 4 1 | 0 6 12 4 6 4 | 0 4 12 6 12 12 4 6 | 0 1 4 4 6 12 4 12 1 4 | 1 1 4 6 4 1 --------------+-----+---------+-------------------+---------------------------+----------------------------------+--------------------------------------+---------------- x3o . . . . . | 3 | 3 0 | 560 * * * | 3 6 0 0 0 0 | 3 12 6 3 0 0 0 0 | 1 6 6 6 2 3 0 0 0 0 | 2 3 3 1 0 0 x . . . . x . | 4 | 2 2 | * 1680 * * | 0 3 3 1 0 0 | 0 3 6 3 3 3 0 0 | 0 1 3 3 3 6 1 3 0 0 | 1 1 3 3 1 0 . . . . o3x . | 3 | 0 3 | * * 1120 * | 0 0 3 0 3 1 | 0 0 3 0 6 3 3 3 | 0 0 1 0 3 3 3 6 1 3 | 1 0 1 3 3 1 . . . . . x3o | 3 | 0 3 | * * * 280 | 0 0 0 4 0 4 | 0 0 0 6 0 12 0 6 | 0 0 0 4 0 12 0 12 0 4 | 0 1 4 6 4 1 --------------+-----+---------+-------------------+---------------------------+----------------------------------+--------------------------------------+---------------- x3o3o . . . . ♦ 4 | 6 0 | 4 0 0 0 | 420 * * * * * | 2 4 0 0 0 0 0 0 | 1 4 2 2 0 0 0 0 0 0 | 2 2 1 0 0 0 x3o . . . x . ♦ 6 | 6 3 | 2 3 0 0 | * 1680 * * * * | 0 2 2 1 0 0 0 0 | 0 1 2 2 1 2 0 0 0 0 | 1 1 2 1 0 0 x . . . o3x . ♦ 6 | 3 6 | 0 3 2 0 | * * 1680 * * * | 0 0 2 0 2 1 0 0 | 0 0 1 0 2 2 1 2 0 0 | 1 0 1 2 1 0 x . . . . x3o ♦ 6 | 3 6 | 0 3 0 2 | * * * 560 * * | 0 0 0 3 0 3 0 0 | 0 0 0 3 0 6 0 3 0 0 | 0 1 3 3 1 0 . . . o3o3x . ♦ 4 | 0 6 | 0 0 4 0 | * * * * 840 * | 0 0 0 0 2 0 2 1 | 0 0 0 0 1 0 2 2 1 2 | 1 0 0 1 2 1 . . . . o3x3o ♦ 6 | 0 12 | 0 0 4 4 | * * * * * 280 | 0 0 0 0 0 3 0 3 | 0 0 0 0 0 3 0 6 0 3 | 0 0 1 3 3 1 --------------+-----+---------+-------------------+---------------------------+----------------------------------+--------------------------------------+---------------- x3o3o3o . . . ♦ 5 | 10 0 | 10 0 0 0 | 5 0 0 0 0 0 | 168 * * * * * * * | 1 2 0 0 0 0 0 0 0 0 | 2 1 0 0 0 0 x3o3o . . x . ♦ 8 | 12 4 | 8 6 0 0 | 2 4 0 0 0 0 | * 840 * * * * * * | 0 1 1 1 0 0 0 0 0 0 | 1 1 1 0 0 0 x3o . . o3x . ♦ 9 | 9 9 | 3 9 3 0 | 0 3 3 0 0 0 | * * 1120 * * * * * | 0 0 1 0 1 1 0 0 0 0 | 1 0 1 1 0 0 x3o . . . x3o ♦ 9 | 9 9 | 3 9 0 3 | 0 3 0 3 0 0 | * * * 560 * * * * | 0 0 0 2 0 2 0 0 0 0 | 0 1 2 1 0 0 x . . o3o3x . ♦ 8 | 4 12 | 0 6 8 0 | 0 0 4 0 2 0 | * * * * 840 * * * | 0 0 0 0 1 0 1 1 0 0 | 1 0 0 1 1 0 x . . . o3x3o ♦ 12 | 6 24 | 0 12 8 8 | 0 0 4 4 0 2 | * * * * * 420 * * | 0 0 0 0 0 2 0 2 0 0 | 0 0 1 2 1 0 . . o3o3o3x . ♦ 5 | 0 10 | 0 0 10 0 | 0 0 0 0 5 0 | * * * * * * 336 * | 0 0 0 0 0 0 1 0 1 1 | 1 0 0 0 1 1 . . . o3o3x3o ♦ 10 | 0 30 | 0 0 20 10 | 0 0 0 0 5 5 | * * * * * * * 168 | 0 0 0 0 0 0 0 2 0 2 | 0 0 0 1 2 1 --------------+-----+---------+-------------------+---------------------------+----------------------------------+--------------------------------------+---------------- x3o3o3o3o . . ♦ 6 | 15 0 | 20 0 0 0 | 15 0 0 0 0 0 | 6 0 0 0 0 0 0 0 | 28 * * * * * * * * * | 2 0 0 0 0 0 x3o3o3o . x . ♦ 10 | 20 5 | 20 10 0 0 | 10 10 0 0 0 0 | 2 5 0 0 0 0 0 0 | * 168 * * * * * * * * | 1 1 0 0 0 0 x3o3o . o3x . ♦ 12 | 18 12 | 12 18 4 0 | 3 12 6 0 0 0 | 0 3 4 0 0 0 0 0 | * * 280 * * * * * * * | 1 0 1 0 0 0 x3o3o . . x3o ♦ 12 | 18 12 | 12 18 0 4 | 3 12 0 6 0 0 | 0 3 0 4 0 0 0 0 | * * * 280 * * * * * * | 0 1 1 0 0 0 x3o . o3o3x . ♦ 12 | 12 18 | 4 18 12 0 | 0 6 12 0 3 0 | 0 0 4 0 3 0 0 0 | * * * * 280 * * * * * | 1 0 0 1 0 0 x3o . . o3x3o ♦ 18 | 18 36 | 6 36 12 12 | 0 12 12 12 0 3 | 0 0 4 4 0 3 0 0 | * * * * * 280 * * * * | 0 0 1 1 0 0 x . o3o3o3x . ♦ 10 | 5 20 | 0 10 20 0 | 0 0 10 0 10 0 | 0 0 0 0 5 0 2 0 | * * * * * * 168 * * * | 1 0 0 0 1 0 x . . o3o3x3o ♦ 20 | 10 60 | 0 30 40 20 | 0 0 20 10 10 10 | 0 0 0 0 5 5 0 2 | * * * * * * * 168 * * | 0 0 0 1 1 0 . o3o3o3o3x . ♦ 6 | 0 15 | 0 0 20 0 | 0 0 0 0 15 0 | 0 0 0 0 0 0 6 0 | * * * * * * * * 56 * | 1 0 0 0 0 1 . . o3o3o3x3o ♦ 15 | 0 60 | 0 0 60 20 | 0 0 0 0 30 15 | 0 0 0 0 0 0 6 6 | * * * * * * * * * 56 | 0 0 0 0 1 1 --------------+-----+---------+-------------------+---------------------------+----------------------------------+--------------------------------------+---------------- x3o3o3o3o3x . ♦ 42 | 105 105 | 140 210 140 0 | 105 210 210 0 105 0 | 42 105 140 0 105 0 42 0 | 7 21 35 0 35 0 21 0 7 0 | 8 * * * * * x3o3o3o . x3o ♦ 15 | 30 15 | 30 30 0 5 | 15 30 0 10 0 0 | 3 15 0 10 0 0 0 0 | 0 3 0 5 0 0 0 0 0 0 | * 56 * * * * x3o3o . o3x3o ♦ 24 | 36 48 | 24 72 16 16 | 6 48 24 24 0 4 | 0 12 16 16 0 6 0 0 | 0 0 4 4 0 4 0 0 0 0 | * * 70 * * * x3o . o3o3x3o ♦ 30 | 30 90 | 10 90 60 30 | 0 30 60 30 15 15 | 0 0 20 10 15 15 0 3 | 0 0 0 0 5 5 0 3 0 0 | * * * 56 * * x . o3o3o3x3o ♦ 30 | 15 120 | 0 60 120 40 | 0 0 60 20 60 30 | 0 0 0 0 30 15 12 12 | 0 0 0 0 0 0 6 6 0 2 | * * * * 28 * . o3o3o3o3x3o ♦ 21 | 0 105 | 0 0 140 35 | 0 0 0 0 105 35 | 0 0 0 0 0 0 42 21 | 0 0 0 0 0 0 0 0 7 7 | * * * * * 8
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