Gosset polytope 06,3
- general polytopal classes:
- Wythoffian polyxenna segmentoxenna fundamental lace prisms Coxeter-Elte-Gosset polytopes
links
| Acronym | tru |
| Name |
trirectified hendecaxennon, Gosset polytope 06,3 |
| Circumradius | sqrt(14/11) = 1.128152 |
| Face vector | 330, 4620, 13860, 20790, 19404, 12012, 4950, 1320, 220, 22 |
| Confer |
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External links |
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Incidence matrix according to Dynkin symbol
o3o3o3x3o3o3o3o3o3o . . . . . . . . . . | 330 ♦ 28 | 42 84 | 28 126 140 | 7 84 210 140 | 21 140 210 84 | 35 140 126 28 | 35 84 42 4 | 21 28 6 | 7 4 --------------------+-----+------+-----------+-----------------+--------------------+--------------------+--------------------+-----------------+-----------+------ . . . x . . . . . . | 2 | 4620 | 3 6 | 3 18 15 | 1 18 45 20 | 6 45 60 15 | 15 60 45 6 | 20 45 18 1 | 15 18 3 | 6 3 --------------------+-----+------+-----------+-----------------+--------------------+--------------------+--------------------+-----------------+-----------+------ . . o3x . . . . . . | 3 | 3 | 4620 * | 2 6 0 | 1 12 15 0 | 6 30 20 0 | 15 40 15 0 | 20 30 6 0 | 15 12 1 | 6 2 . . . x3o . . . . . | 3 | 3 | * 9240 | 0 3 5 | 0 3 15 10 | 1 15 30 10 | 5 30 30 5 | 10 30 15 1 | 10 15 3 | 5 3 --------------------+-----+------+-----------+-----------------+--------------------+--------------------+--------------------+-----------------+-----------+------ . o3o3x . . . . . . ♦ 4 | 6 | 4 0 | 2310 * * | 1 6 0 0 | 6 15 0 0 | 15 20 0 0 | 20 15 0 0 | 15 6 0 | 6 1 . . o3x3o . . . . . ♦ 6 | 12 | 4 4 | * 6930 * | 0 2 5 0 | 1 10 10 0 | 5 20 10 0 | 10 20 5 0 | 10 10 1 | 5 2 . . . x3o3o . . . . ♦ 4 | 6 | 0 4 | * * 11550 | 0 0 3 4 | 0 3 12 6 | 1 12 18 4 | 4 18 12 4 | 6 12 3 | 4 3 --------------------+-----+------+-----------+-----------------+--------------------+--------------------+--------------------+-----------------+-----------+------ o3o3o3x . . . . . . ♦ 5 | 10 | 10 0 | 5 0 0 | 462 * * * ♦ 6 0 0 0 | 15 0 0 0 | 20 0 0 0 | 15 0 0 | 6 0 . o3o3x3o . . . . . ♦ 10 | 30 | 20 10 | 5 5 0 | * 2772 * * | 1 5 0 0 | 5 10 0 0 | 10 10 0 0 | 10 5 0 | 5 1 . . o3x3o3o . . . . ♦ 10 | 30 | 10 20 | 0 5 5 | * * 6930 * | 0 2 4 0 | 1 8 6 0 | 4 12 4 0 | 6 8 1 | 4 2 . . . x3o3o3o . . . ♦ 5 | 10 | 0 10 | 0 0 5 | * * * 9240 | 0 0 3 3 | 0 3 9 3 | 1 9 9 1 | 3 9 3 | 3 3 pen --------------------+-----+------+-----------+-----------------+--------------------+--------------------+--------------------+-----------------+-----------+------ o3o3o3x3o . . . . . ♦ 15 | 60 | 60 20 | 30 15 0 | 6 6 0 0 | 462 * * * ♦ 5 0 0 0 | 10 0 0 0 | 10 0 0 | 5 0 . o3o3x3o3o . . . . ♦ 20 | 90 | 60 60 | 15 30 15 | 0 6 6 0 | * 2310 * * | 1 4 0 0 | 4 6 0 0 | 6 4 0 | 4 1 . . o3x3o3o3o . . . ♦ 15 | 60 | 20 60 | 0 15 30 | 0 0 6 6 | * * 4620 * | 0 2 3 0 | 1 6 3 0 | 3 6 1 | 3 2 . . . x3o3o3o3o . . ♦ 6 | 15 | 0 20 | 0 0 15 | 0 0 0 6 | * * * 4620 | 0 0 3 2 | 0 3 6 1 | 1 6 3 | 2 3 --------------------+-----+------+-----------+-----------------+--------------------+--------------------+--------------------+-----------------+-----------+------ o3o3o3x3o3o . . . . ♦ 35 | 210 | 210 140 | 105 105 35 | 21 42 21 0 | 7 7 0 0 | 330 * * * ♦ 4 0 0 0 | 6 0 0 | 4 0 . o3o3x3o3o3o . . . ♦ 35 | 210 | 140 210 | 35 105 105 | 0 21 42 21 | 0 7 7 0 | * 1320 * * | 1 3 0 0 | 3 3 0 | 3 1 . . o3x3o3o3o3o . . ♦ 21 | 105 | 35 140 | 0 35 105 | 0 0 21 42 | 0 0 7 7 | * * 1980 * | 0 2 2 0 | 1 4 1 | 2 2 . . . x3o3o3o3o3o . ♦ 7 | 21 | 0 35 | 0 0 35 | 0 0 0 21 | 0 0 0 7 | * * * 1320 | 0 0 3 1 | 0 3 3 | 1 3 --------------------+-----+------+-----------+-----------------+--------------------+--------------------+--------------------+-----------------+-----------+------ o3o3o3x3o3o3o . . . ♦ 70 | 560 | 560 560 | 280 420 280 | 56 168 168 56 | 28 56 28 0 | 8 8 0 0 | 165 * * * | 3 0 0 | 3 0 . o3o3x3o3o3o3o . . ♦ 56 | 420 | 280 560 | 70 280 420 | 0 56 168 168 | 0 28 56 28 | 0 8 8 0 | * 495 * * | 1 2 0 | 2 1 . . o3x3o3o3o3o3o . ♦ 28 | 168 | 56 280 | 0 70 280 | 0 0 56 168 | 0 0 28 56 | 0 0 8 8 | * * 495 * | 0 2 1 | 1 2 . . . x3o3o3o3o3o3o ♦ 8 | 28 | 0 56 | 0 0 70 | 0 0 0 56 | 0 0 0 28 | 0 0 0 8 | * * * 165 | 0 0 3 | 0 3 --------------------+-----+------+-----------+-----------------+--------------------+--------------------+--------------------+-----------------+-----------+------ o3o3o3x3o3o3o3o . . ♦ 126 | 1260 | 1260 1680 | 630 1260 1260 | 126 504 756 504 | 84 252 252 84 | 36 72 36 0 | 9 9 0 0 | 55 * * | 2 0 . o3o3x3o3o3o3o3o . ♦ 84 | 756 | 504 1260 | 126 630 1260 | 0 126 504 756 | 0 84 252 252 | 0 36 72 36 | 0 9 9 0 | * 110 * | 1 1 . . o3x3o3o3o3o3o3o ♦ 36 | 252 | 84 504 | 0 126 630 | 0 0 126 504 | 0 0 84 252 | 0 0 36 72 | 0 0 9 9 | * * 55 | 0 2 --------------------+-----+------+-----------+-----------------+--------------------+--------------------+--------------------+-----------------+-----------+------ o3o3o3x3o3o3o3o3o . ♦ 210 | 2520 | 2520 4200 | 1260 3150 4200 | 252 1260 2520 2520 | 210 840 1260 840 | 120 360 360 120 | 45 90 45 0 | 10 10 0 | 11 * . o3o3x3o3o3o3o3o3o ♦ 120 | 1260 | 840 2520 | 210 1260 3150 | 0 252 1260 2520 | 0 210 840 1260 | 0 120 360 360 | 0 45 90 45 | 0 10 10 | * 11
oo3oo3xo3ox3oo3oo3oo3oo3oo&#x → height = sqrt(11/20) = 0.741620
(breday || treday)
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