biruncinated octaexon
- general polytopal classes:
- Wythoffian polyexa
links
| Acronym | sibpo |
| Name |
small biprismated octaexon, biruncinated octaexon |
| Circumradius | sqrt(39)/4 = 1.561250 |
| Face vector | 560, 4200, 10080, 10640, 5460, 1400, 142 |
| Confer |
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External links |
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Incidence matrix according to Dynkin symbol
o3x3o3o3x3o3o . . . . . . . | 560 | 6 9 | 3 6 36 9 9 | 3 18 2 18 18 36 3 9 3 | 1 9 9 18 6 18 18 12 3 3 | 3 9 9 6 6 6 6 1 | 3 3 3 2 --------------+-----+-----------+-------------------------+-----------------------------------------+------------------------------------------+------------------------------+---------- . x . . . . . | 2 | 1680 * | 1 2 6 0 0 | 2 6 1 6 3 6 0 0 0 | 1 6 3 6 3 6 3 2 0 0 | 3 6 3 2 3 2 1 0 | 3 2 1 1 . . . . x . . | 2 | * 2520 | 0 0 4 2 2 | 0 2 0 2 4 8 1 4 1 | 0 1 2 4 2 4 8 4 2 2 | 1 2 4 2 4 2 4 1 | 2 1 2 2 --------------+-----+-----------+-------------------------+-----------------------------------------+------------------------------------------+------------------------------+---------- o3x . . . . . | 3 | 3 0 | 560 * * * * | 2 6 0 0 0 0 0 0 0 | 1 6 3 6 0 0 0 0 0 0 | 3 6 3 2 0 0 0 0 | 3 2 1 0 . x3o . . . . | 3 | 3 0 | * 1120 * * * | 1 0 1 3 0 0 0 0 0 | 1 3 0 0 3 3 0 0 0 0 | 3 3 0 0 3 1 0 0 | 3 1 0 1 . x . . x . . | 4 | 2 2 | * * 5040 * * | 0 1 0 1 1 2 0 0 0 | 0 1 1 2 1 2 2 1 0 0 | 1 2 2 1 2 1 1 0 | 2 1 1 1 . . . o3x . . | 3 | 0 3 | * * * 1680 * | 0 0 0 0 2 0 1 2 0 | 0 0 1 0 2 0 4 0 2 1 | 1 0 2 0 4 0 2 1 | 2 0 1 2 . . . . x3o . | 3 | 0 3 | * * * * 1680 | 0 0 0 0 0 4 0 2 1 | 0 0 0 2 0 2 4 4 1 2 | 0 1 2 2 2 2 4 1 | 1 1 2 2 --------------+-----+-----------+-------------------------+-----------------------------------------+------------------------------------------+------------------------------+---------- o3x3o . . . . ♦ 6 | 12 0 | 4 4 0 0 0 | 280 * * * * * * * * | 1 3 0 0 0 0 0 0 0 0 | 3 3 0 0 0 0 0 0 | 3 1 0 0 o3x . . x . . ♦ 6 | 6 3 | 2 0 3 0 0 | * 1680 * * * * * * * | 0 1 1 2 0 0 0 0 0 0 | 1 2 2 1 0 0 0 0 | 2 1 1 0 . x3o3o . . . ♦ 4 | 6 0 | 0 4 0 0 0 | * * 280 * * * * * * | 1 0 0 0 3 0 0 0 0 0 | 3 0 0 0 3 0 0 0 | 3 0 0 1 . x3o . x . . ♦ 6 | 6 3 | 0 2 3 0 0 | * * * 1680 * * * * * | 0 1 0 0 1 2 0 0 0 0 | 1 2 0 0 2 1 0 0 | 2 1 0 1 . x . o3x . . ♦ 6 | 3 6 | 0 0 3 2 0 | * * * * 1680 * * * * | 0 0 1 0 1 0 2 0 0 0 | 1 0 2 0 2 0 1 0 | 2 0 1 1 . x . . x3o . ♦ 6 | 3 6 | 0 0 3 0 2 | * * * * * 3360 * * * | 0 0 0 1 0 1 1 1 0 0 | 0 1 1 1 1 1 1 0 | 1 1 1 1 . . o3o3x . . ♦ 4 | 0 6 | 0 0 0 4 0 | * * * * * * 420 * * | 0 0 0 0 2 0 0 0 2 0 | 1 0 0 0 4 0 0 1 | 2 0 0 2 . . . o3x3o . ♦ 6 | 0 12 | 0 0 0 4 4 | * * * * * * * 840 * | 0 0 0 0 0 0 2 0 1 1 | 0 0 1 0 2 0 2 1 | 1 0 1 2 . . . . x3o3o ♦ 4 | 0 6 | 0 0 0 0 4 | * * * * * * * * 420 | 0 0 0 0 0 0 0 4 0 2 | 0 0 0 2 0 2 4 1 | 0 1 2 2 --------------+-----+-----------+-------------------------+-----------------------------------------+------------------------------------------+------------------------------+---------- o3x3o3o . . . ♦ 10 | 30 0 | 10 20 0 0 0 | 5 0 5 0 0 0 0 0 0 | 56 * * * * * * * * * | 3 0 0 0 0 0 0 0 | 3 0 0 0 o3x3o . x . . ♦ 12 | 24 6 | 8 8 12 0 0 | 2 4 0 4 0 0 0 0 0 | * 420 * * * * * * * * | 1 2 0 0 0 0 0 0 | 2 1 0 0 o3x . o3x . . ♦ 9 | 9 9 | 3 0 9 3 0 | 0 3 0 0 3 0 0 0 0 | * * 560 * * * * * * * | 1 0 2 0 0 0 0 0 | 2 0 1 0 o3x . . x3o . ♦ 9 | 9 9 | 3 0 9 0 3 | 0 3 0 0 0 3 0 0 0 | * * * 1120 * * * * * * | 0 1 1 1 0 0 0 0 | 1 1 1 0 . x3o3o3x . . ♦ 20 | 30 30 | 0 20 30 20 0 | 0 0 5 10 10 0 5 0 0 | * * * * 168 * * * * * | 1 0 0 0 2 0 0 0 | 2 0 0 1 . x3o . x3o . ♦ 9 | 9 9 | 0 3 9 0 3 | 0 0 0 3 0 3 0 0 0 | * * * * * 1120 * * * * | 0 1 0 0 1 1 0 0 | 1 1 0 1 . x . o3x3o . ♦ 12 | 6 24 | 0 0 12 8 8 | 0 0 0 0 4 4 0 2 0 | * * * * * * 840 * * * | 0 0 1 0 1 0 1 0 | 1 0 1 1 . x . . x3o3o ♦ 8 | 4 12 | 0 0 6 0 8 | 0 0 0 0 0 4 0 0 2 | * * * * * * * 840 * * | 0 0 0 1 0 1 1 0 | 0 1 1 1 . . o3o3x3o . ♦ 10 | 0 30 | 0 0 0 20 10 | 0 0 0 0 0 0 5 5 0 | * * * * * * * * 168 * | 0 0 0 0 2 0 0 1 | 1 0 0 2 . . . o3x3o3o ♦ 10 | 0 30 | 0 0 0 10 20 | 0 0 0 0 0 0 0 5 5 | * * * * * * * * * 168 | 0 0 0 0 0 0 2 1 | 0 0 1 2 --------------+-----+-----------+-------------------------+-----------------------------------------+------------------------------------------+------------------------------+---------- o3x3o3o3x . . ♦ 60 | 180 90 | 60 120 180 60 0 | 30 60 30 60 60 0 15 0 0 | 6 15 20 0 6 0 0 0 0 0 | 28 * * * * * * * | 2 0 0 0 o3x3o . x3o . ♦ 18 | 36 18 | 12 12 36 0 6 | 3 12 0 12 0 12 0 0 0 | 0 3 0 4 0 4 0 0 0 0 | * 280 * * * * * * | 1 1 0 0 o3x . o3x3o . ♦ 18 | 18 36 | 6 0 36 12 12 | 0 12 0 0 12 12 0 3 0 | 0 0 4 4 0 0 3 0 0 0 | * * 280 * * * * * | 1 0 1 0 o3x . . x3o3o ♦ 12 | 12 18 | 4 0 18 0 12 | 0 6 0 0 0 12 0 0 3 | 0 0 0 4 0 0 0 3 0 0 | * * * 280 * * * * | 0 1 1 0 . x3o3o3x3o . ♦ 60 | 90 180 | 0 60 180 120 60 | 0 0 15 60 60 60 30 30 0 | 0 0 0 0 6 20 15 0 6 0 | * * * * 56 * * * | 1 0 0 1 . x3o . x3o3o ♦ 12 | 12 18 | 0 4 18 0 12 | 0 0 0 6 0 12 0 0 3 | 0 0 0 0 0 4 0 3 0 0 | * * * * * 280 * * | 0 1 0 1 . x . o3x3o3o ♦ 20 | 10 60 | 0 0 30 20 40 | 0 0 0 0 10 20 0 10 10 | 0 0 0 0 0 0 5 5 0 2 | * * * * * * 168 * | 0 0 1 1 . . o3o3x3o3o ♦ 20 | 0 90 | 0 0 0 60 60 | 0 0 0 0 0 0 15 30 15 | 0 0 0 0 0 0 0 0 6 6 | * * * * * * * 28 | 0 0 0 2 --------------+-----+-----------+-------------------------+-----------------------------------------+------------------------------------------+------------------------------+---------- o3x3o3o3x3o . ♦ 210 | 630 630 | 210 420 1260 420 210 | 105 420 105 420 420 420 105 105 0 | 21 105 140 140 42 140 105 0 21 0 | 7 35 35 0 7 0 0 0 | 8 * * * o3x3o . x3o3o ♦ 24 | 48 36 | 16 16 72 0 24 | 4 24 0 24 0 48 0 0 6 | 0 6 0 16 0 16 0 12 0 0 | 0 4 0 4 0 4 0 0 | * 70 * * o3x . o3x3o3o ♦ 30 | 30 90 | 10 0 90 30 60 | 0 30 0 0 30 60 0 15 15 | 0 0 10 20 0 0 15 15 0 3 | 0 0 5 5 0 0 3 0 | * * 56 * . x3o3o3x3o3o ♦ 140 | 210 630 | 0 140 630 420 420 | 0 0 35 210 210 420 105 210 105 | 0 0 0 0 21 140 105 105 42 42 | 0 0 0 0 7 35 21 7 | * * * 8
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