Acronym | trene |
Name |
trirectified enneazetton, Gosset polytope 04,3 |
Circumradius | sqrt(10)/3 = 1.054093 |
Confer |
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External links |
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Incidence matrix according to Dynkin symbol
o3o3o3x3o3o3o3o . . . . . . . . | 126 ♦ 20 | 30 40 | 20 60 40 | 5 40 60 20 | 10 40 30 4 | 10 20 6 | 5 4 ----------------+-----+------+-----------+---------------+-----------------+---------------+----------+---- . . . x . . . . | 2 | 1260 | 3 4 | 3 12 6 | 1 12 18 4 | 4 18 12 1 | 6 12 3 | 4 3 ----------------+-----+------+-----------+---------------+-----------------+---------------+----------+---- . . o3x . . . . | 3 | 3 | 1260 * | 2 4 0 | 1 8 6 0 | 4 12 4 0 | 6 8 1 | 4 2 . . . x3o . . . | 3 | 3 | * 1680 | 0 3 3 | 0 3 9 3 | 1 9 9 1 | 3 9 3 | 3 3 ----------------+-----+------+-----------+---------------+-----------------+---------------+----------+---- . o3o3x . . . . ♦ 4 | 6 | 4 0 | 630 * * | 1 4 0 0 | 4 6 0 0 | 6 4 0 | 4 1 . . o3x3o . . . ♦ 6 | 12 | 4 4 | * 1260 * | 0 2 3 0 | 1 6 3 0 | 3 6 1 | 3 2 . . . x3o3o . . ♦ 4 | 6 | 0 4 | * * 1260 | 0 0 3 2 | 0 3 6 1 | 1 6 3 | 2 3 ----------------+-----+------+-----------+---------------+-----------------+---------------+----------+---- o3o3o3x . . . . ♦ 5 | 10 | 10 0 | 5 0 0 | 126 * * * ♦ 4 0 0 0 | 6 0 0 | 4 0 . o3o3x3o . . . ♦ 10 | 30 | 20 10 | 5 5 0 | * 504 * * | 1 3 0 0 | 3 3 0 | 3 1 . . o3x3o3o . . ♦ 10 | 30 | 10 20 | 0 5 5 | * * 756 * | 0 2 2 0 | 1 4 1 | 2 2 . . . x3o3o3o . ♦ 5 | 10 | 0 10 | 0 0 5 | * * * 504 | 0 0 3 1 | 0 3 3 | 1 3 ----------------+-----+------+-----------+---------------+-----------------+---------------+----------+---- o3o3o3x3o . . . ♦ 15 | 60 | 60 20 | 30 15 0 | 6 6 0 0 | 84 * * * | 3 0 0 | 3 0 . o3o3x3o3o . . ♦ 20 | 90 | 60 60 | 15 30 15 | 0 6 6 0 | * 252 * * | 1 2 0 | 2 1 . . o3x3o3o3o . ♦ 15 | 60 | 20 60 | 0 15 30 | 0 0 6 6 | * * 252 * | 0 2 1 | 1 2 . . . x3o3o3o3o ♦ 6 | 15 | 0 20 | 0 0 15 | 0 0 0 6 | * * * 84 | 0 0 3 | 0 3 ----------------+-----+------+-----------+---------------+-----------------+---------------+----------+---- o3o3o3x3o3o . . ♦ 35 | 210 | 210 140 | 105 105 35 | 21 42 21 0 | 7 7 0 0 | 36 * * | 2 0 . o3o3x3o3o3o . ♦ 35 | 210 | 140 210 | 35 105 105 | 0 21 42 21 | 0 7 7 0 | * 72 * | 1 1 . . o3x3o3o3o3o ♦ 21 | 105 | 35 140 | 0 35 105 | 0 0 21 42 | 0 0 7 7 | * * 36 | 0 2 ----------------+-----+------+-----------+---------------+-----------------+---------------+----------+---- o3o3o3x3o3o3o . ♦ 70 | 560 | 560 560 | 280 420 280 | 56 168 168 56 | 28 56 28 0 | 8 8 0 | 9 * . o3o3x3o3o3o3o ♦ 56 | 420 | 280 560 | 70 280 420 | 0 56 168 168 | 0 28 56 28 | 0 8 8 | * 9
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