Acronym | trioc |
Name |
triangle - octaexon duoprism, vertex figure of bru |
Circumradius | sqrt(37/48) = 0.877971 |
Volume | sqrt(3)/80640 = 0.000021479 |
Face vector | 24, 108, 260, 406, 434, 322, 164, 55, 11 |
Confer |
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Incidence matrix according to Dynkin symbol
x3o x3o3o3o3o3o3o o3o o3o3o3o3o3o3o | 24 | 2 7 | 1 14 21 | 7 42 35 | 21 70 35 | 35 70 21 | 35 42 7 | 21 14 1 | 7 2 ------------------+----+-------+----------+------------+------------+-----------+----------+---------+---- x . . . . . . . . | 2 | 24 * | 1 7 0 | 7 21 0 | 21 35 0 | 35 35 0 | 35 21 0 | 21 7 0 | 7 1 . . x . . . . . . | 2 | * 84 | 0 2 6 | 1 12 15 | 6 30 20 | 15 40 15 | 20 30 6 | 15 12 1 | 6 2 ------------------+----+-------+----------+------------+------------+-----------+----------+---------+---- x3o . . . . . . . | 3 | 3 0 | 8 * * ♦ 7 0 0 | 21 0 0 | 35 0 0 | 35 0 0 | 21 0 0 | 7 0 x . x . . . . . . | 4 | 2 2 | * 84 * | 1 6 0 | 6 15 0 | 15 20 0 | 20 15 0 | 15 6 0 | 6 1 . . x3o . . . . . | 3 | 0 3 | * * 168 | 0 2 5 | 1 10 10 | 5 20 10 | 10 20 5 | 10 10 1 | 5 2 ------------------+----+-------+----------+------------+------------+-----------+----------+---------+---- x3o x . . . . . . ♦ 6 | 6 3 | 2 3 0 | 28 * * ♦ 6 0 0 | 15 0 0 | 20 0 0 | 15 0 0 | 6 0 x . x3o . . . . . ♦ 6 | 3 6 | 0 3 2 | * 168 * | 1 5 0 | 5 10 0 | 10 10 0 | 10 5 0 | 5 1 . . x3o3o . . . . ♦ 4 | 0 6 | 0 0 4 | * * 210 | 0 2 4 | 1 8 6 | 4 12 4 | 6 8 1 | 4 2 ------------------+----+-------+----------+------------+------------+-----------+----------+---------+---- x3o x3o . . . . . ♦ 9 | 9 9 | 3 9 3 | 3 3 0 | 56 * * ♦ 5 0 0 | 10 0 0 | 10 0 0 | 5 0 x . x3o3o . . . . ♦ 8 | 4 12 | 0 6 8 | 0 4 2 | * 210 * | 1 4 0 | 4 6 0 | 6 4 0 | 4 1 . . x3o3o3o . . . ♦ 5 | 0 10 | 0 0 10 | 0 0 5 | * * 168 | 0 2 3 | 1 6 3 | 3 6 1 | 3 2 ------------------+----+-------+----------+------------+------------+-----------+----------+---------+---- x3o x3o3o . . . . ♦ 12 | 12 18 | 4 18 12 | 6 12 3 | 4 3 0 | 70 * * ♦ 4 0 0 | 6 0 0 | 4 0 x . x3o3o3o . . . ♦ 10 | 5 20 | 0 10 20 | 0 10 10 | 0 5 2 | * 168 * | 1 3 0 | 3 3 0 | 3 1 . . x3o3o3o3o . . ♦ 6 | 0 15 | 0 0 20 | 0 0 15 | 0 0 6 | * * 84 | 0 2 2 | 1 4 1 | 2 2 ------------------+----+-------+----------+------------+------------+-----------+----------+---------+---- x3o x3o3o3o . . . ♦ 15 | 15 30 | 5 30 30 | 10 30 15 | 10 15 3 | 5 3 0 | 56 * * | 3 0 0 | 3 0 x . x3o3o3o3o . . ♦ 12 | 6 30 | 0 15 40 | 0 20 30 | 0 15 12 | 0 6 2 | * 84 * | 1 2 0 | 2 1 . . x3o3o3o3o3o . ♦ 7 | 0 21 | 0 0 35 | 0 0 35 | 0 0 21 | 0 0 7 | * * 24 | 0 2 1 | 1 2 ------------------+----+-------+----------+------------+------------+-----------+----------+---------+---- x3o x3o3o3o3o . . ♦ 18 | 18 45 | 6 45 60 | 15 60 45 | 20 45 18 | 15 18 3 | 6 3 0 | 28 * * | 2 0 x . x3o3o3o3o3o . ♦ 14 | 7 42 | 0 21 70 | 0 35 70 | 0 35 42 | 0 21 14 | 0 7 2 | * 24 * | 1 1 . . x3o3o3o3o3o3o ♦ 8 | 0 28 | 0 0 56 | 0 0 70 | 0 0 56 | 0 0 28 | 0 0 8 | * * 3 | 0 2 ------------------+----+-------+----------+------------+------------+-----------+----------+---------+---- x3o x3o3o3o3o3o . ♦ 21 | 21 63 | 7 63 105 | 21 105 105 | 35 105 63 | 35 63 21 | 21 21 3 | 7 3 0 | 8 * x . x3o3o3o3o3o3o ♦ 16 | 8 56 | 0 28 112 | 0 56 140 | 0 70 112 | 0 56 56 | 0 28 16 | 0 8 2 | * 3
ox xx3oo3oo3oo3oo3oo3oo&#x → height = sqrt(3)/2 = 0.866025
(oca || ocpe)
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