quadrirectified hendecaxennon,
Gosset polytope 05,4
- general polytopal classes:
- Wythoffian polyxenna Coxeter-Elte-Gosset polytopes
links
| Acronym | teru |
| Name |
tetrarectified hendecaxennon, quadrirectified hendecaxennon, Gosset polytope 05,4 |
| Circumradius | sqrt(15/11) = 1.167748 |
| Face vector | 462, 6930, 20790, 30030, 25872, 14322, 5280, 1320, 220, 22 |
| Confer |
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External links |
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Incidence matrix according to Dynkin symbol
o3o3o3o3x3o3o3o3o3o . . . . . . . . . . | 462 ♦ 30 | 60 75 | 60 150 100 | 30 150 200 75 | 6 75 200 150 30 | 15 100 150 60 5 | 20 75 60 10 | 15 30 10 | 6 5 --------------------+-----+------+------------+------------------+---------------------+-------------------------+------------------------+-----------------+-----------+------ . . . . x . . . . . | 2 | 6930 | 4 5 | 6 20 10 | 4 30 40 10 | 1 20 60 40 5 | 5 40 60 20 1 | 10 40 30 6 | 10 20 6 | 5 4 --------------------+-----+------+------------+------------------+---------------------+-------------------------+------------------------+-----------------+-----------+------ . . . o3x . . . . . | 3 | 3 | 9240 * | 3 5 0 | 3 15 10 0 | 1 15 30 10 0 | 5 30 30 5 0 | 10 30 15 1 | 10 15 3 | 5 3 . . . . x3o . . . . | 3 | 3 | * 11550 | 0 4 4 | 0 6 16 6 | 0 4 24 24 4 | 1 16 36 16 1 | 4 24 24 4 | 6 16 6 | 4 4 --------------------+-----+------+------------+------------------+---------------------+-------------------------+------------------------+-----------------+-----------+------ . . o3o3x . . . . . ♦ 4 | 6 | 4 0 | 6930 * * | 2 5 0 0 | 1 10 10 0 0 | 5 20 10 0 0 | 10 20 5 0 | 10 10 1 | 5 2 . . . o3x3o . . . . ♦ 6 | 12 | 4 4 | * 11550 * | 0 3 4 0 | 0 3 12 6 0 | 1 12 18 4 0 | 4 18 12 1 | 6 12 3 | 4 3 . . . . x3o3o . . . ♦ 4 | 6 | 0 4 | * * 11550 | 0 0 4 3 | 0 0 6 12 3 | 0 4 18 12 1 | 1 12 18 4 | 3 12 6 | 3 4 --------------------+-----+------+------------+------------------+---------------------+-------------------------+------------------------+-----------------+-----------+------ . o3o3o3x . . . . . ♦ 5 | 10 | 10 0 | 5 0 0 | 2772 * * * | 1 5 0 0 0 | 5 10 0 0 0 | 10 10 0 0 | 10 5 0 | 5 1 . . o3o3x3o . . . . ♦ 10 | 30 | 20 10 | 5 5 0 | * 6930 * * | 0 2 4 0 0 | 1 8 6 0 0 | 4 12 4 0 | 6 8 1 | 4 2 . . . o3x3o3o . . . ♦ 10 | 30 | 10 20 | 0 5 5 | * * 9240 * | 0 0 3 3 0 | 0 3 9 3 0 | 1 9 9 1 | 3 9 3 | 3 3 . . . . x3o3o3o . . ♦ 5 | 10 | 0 10 | 0 0 5 | * * * 6930 | 0 0 0 4 2 | 0 0 6 8 1 | 0 4 12 4 | 1 8 6 | 2 4 --------------------+-----+------+------------+------------------+---------------------+-------------------------+------------------------+-----------------+-----------+------ o3o3o3o3x . . . . . ♦ 6 | 15 | 20 0 | 15 0 0 | 6 0 0 0 | 462 * * * * ♦ 5 0 0 0 0 | 10 0 0 0 | 10 0 0 | 5 0 . o3o3o3x3o . . . . ♦ 15 | 60 | 60 20 | 30 15 0 | 6 6 0 0 | * 2310 * * * | 1 4 0 0 0 | 4 6 0 0 | 6 4 0 | 4 1 . . o3o3x3o3o . . . ♦ 20 | 90 | 60 60 | 15 30 15 | 0 6 6 0 | * * 4620 * * | 0 2 3 0 0 | 1 6 3 0 | 3 6 1 | 3 2 . . . o3x3o3o3o . . ♦ 15 | 60 | 20 60 | 0 15 30 | 0 0 6 6 | * * * 4620 * | 0 0 3 2 0 | 0 3 6 1 | 1 6 3 | 2 3 . . . . x3o3o3o3o . ♦ 6 | 15 | 0 20 | 0 0 15 | 0 0 0 6 | * * * * 2310 | 0 0 0 4 1 | 0 0 6 4 | 0 4 6 | 1 4 --------------------+-----+------+------------+------------------+---------------------+-------------------------+------------------------+-----------------+-----------+------ o3o3o3o3x3o . . . . ♦ 21 | 105 | 140 35 | 105 35 0 | 42 21 0 0 | 7 7 0 0 0 | 330 * * * * ♦ 4 0 0 0 | 6 0 0 | 4 0 . o3o3o3x3o3o . . . ♦ 35 | 210 | 210 140 | 105 105 35 | 21 42 21 0 | 0 7 7 0 0 | * 1320 * * * | 1 3 0 0 | 3 3 0 | 3 1 . . o3o3x3o3o3o . . ♦ 35 | 210 | 140 210 | 35 105 105 | 0 21 42 21 | 0 0 7 7 0 | * * 1980 * * | 0 2 2 0 | 1 4 1 | 2 2 . . . o3x3o3o3o3o . ♦ 21 | 105 | 35 140 | 0 35 105 | 0 0 21 42 | 0 0 0 7 7 | * * * 1320 * | 0 0 3 1 | 0 3 3 | 1 3 . . . . x3o3o3o3o3o ♦ 7 | 21 | 0 35 | 0 0 35 | 0 0 0 21 | 0 0 0 0 7 | * * * * 330 ♦ 0 0 0 4 | 0 0 6 | 0 4 --------------------+-----+------+------------+------------------+---------------------+-------------------------+------------------------+-----------------+-----------+------ o3o3o3o3x3o3o . . . ♦ 56 | 420 | 560 280 | 420 280 70 | 168 168 56 0 | 28 56 28 0 0 | 8 8 0 0 0 | 165 * * * | 3 0 0 | 3 0 . o3o3o3x3o3o3o . . ♦ 70 | 560 | 560 560 | 280 420 280 | 56 168 168 56 | 0 28 56 28 0 | 0 8 8 0 0 | * 495 * * | 1 2 0 | 2 1 . . o3o3x3o3o3o3o . ♦ 56 | 420 | 280 560 | 70 280 420 | 0 56 168 168 | 0 0 28 56 28 | 0 0 8 8 0 | * * 495 * | 0 2 1 | 1 2 . . . o3x3o3o3o3o3o ♦ 28 | 168 | 56 280 | 0 70 280 | 0 0 56 168 | 0 0 0 28 56 | 0 0 0 8 8 | * * * 165 | 0 0 3 | 0 3 --------------------+-----+------+------------+------------------+---------------------+-------------------------+------------------------+-----------------+-----------+------ o3o3o3o3x3o3o3o . . ♦ 126 | 1260 | 1680 1260 | 1260 1260 630 | 504 756 504 126 | 84 252 252 84 0 | 36 72 36 0 0 | 9 9 0 0 | 55 * * | 2 0 . o3o3o3x3o3o3o3o . ♦ 126 | 1260 | 1260 1680 | 630 1260 1260 | 126 504 756 504 | 0 84 252 252 84 | 0 36 72 36 0 | 0 9 9 0 | * 110 * | 1 1 . . o3o3x3o3o3o3o3o ♦ 84 | 756 | 504 1260 | 126 630 1260 | 0 126 504 756 | 0 0 84 252 252 | 0 0 36 72 36 | 0 0 9 9 | * * 55 | 0 2 --------------------+-----+------+------------+------------------+---------------------+-------------------------+------------------------+-----------------+-----------+------ o3o3o3o3x3o3o3o3o . ♦ 252 | 3150 | 4200 4200 | 3150 4200 3150 | 1260 2520 2520 1260 | 210 840 1260 840 210 | 120 360 360 120 0 | 45 90 45 0 | 10 10 0 | 11 * . o3o3o3x3o3o3o3o3o ♦ 210 | 2520 | 2520 4200 | 1260 3150 4200 | 252 1260 2520 2520 | 0 210 840 1260 840 | 0 120 360 360 120 | 0 45 90 45 | 0 10 10 | * 11
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