Acronym | trizee |
Name |
triangle - hecatonicosoctaexon duoprism, vertex figure of brake |
Circumradius | sqrt(5/6) = 0.912871 |
Volume | sqrt(6)/2520 = 0.00097202 |
Face vector | 42, 294, 1106, 2604, 3976, 3920, 2400, 835, 131 |
Confer |
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Incidence matrix according to Dynkin symbol
x3o x3o3o3o3o3o4o . . . . . . . . . | 42 | 2 12 | 1 24 60 | 12 120 160 | 60 320 240 | 160 480 192 | 240 384 64 | 192 128 1 | 64 2 ------------------+----+--------+------------+-------------+---------------+---------------+--------------+-----------+------ x . . . . . . . . | 2 | 42 * | 1 12 0 | 12 60 0 | 60 160 0 | 160 240 0 | 240 192 0 | 192 64 0 | 64 1 . . x . . . . . . | 2 | * 252 | 0 2 10 | 1 20 40 | 10 80 80 | 40 160 80 | 80 160 32 | 80 64 1 | 32 2 ------------------+----+--------+------------+-------------+---------------+---------------+--------------+-----------+------ x3o . . . . . . . | 3 | 3 0 | 14 * * ♦ 12 0 0 | 60 0 0 | 160 0 0 | 240 0 0 | 192 0 0 | 64 0 x . x . . . . . . | 4 | 2 2 | * 252 * | 1 10 0 | 10 40 0 | 40 80 0 | 80 80 0 | 80 32 0 | 32 1 . . x3o . . . . . | 3 | 0 3 | * * 840 | 0 2 8 | 1 16 24 | 8 48 32 | 24 64 16 | 16 16 1 | 16 2 ------------------+----+--------+------------+-------------+---------------+---------------+--------------+-----------+------ x3o x . . . . . . ♦ 6 | 6 3 | 2 3 0 | 84 * * ♦ 10 0 0 | 40 0 0 | 80 0 0 | 80 0 0 | 32 0 x . x3o . . . . . ♦ 6 | 3 6 | 0 3 2 | * 840 * | 1 8 0 | 8 24 0 | 24 32 0 | 32 16 0 | 16 1 . . x3o3o . . . . ♦ 4 | 0 6 | 0 0 4 | * * 1680 | 0 2 6 | 1 12 12 | 6 24 8 | 12 16 1 | 8 2 ------------------+----+--------+------------+-------------+---------------+---------------+--------------+-----------+------ x3o x3o . . . . . ♦ 9 | 9 9 | 3 9 3 | 3 3 0 | 280 * * ♦ 8 0 0 | 24 0 0 | 32 0 0 | 16 0 x . x3o3o . . . . ♦ 8 | 4 12 | 0 6 8 | 0 4 2 | * 1680 * | 1 6 0 | 6 12 0 | 12 8 0 | 8 1 . . x3o3o3o . . . ♦ 5 | 0 10 | 0 0 10 | 0 0 5 | * * 2016 | 0 2 4 | 1 8 4 | 4 8 1 | 4 2 ------------------+----+--------+------------+-------------+---------------+---------------+--------------+-----------+------ x3o x3o3o . . . . ♦ 12 | 12 18 | 4 18 12 | 6 12 3 | 4 3 0 | 560 * * ♦ 6 0 0 | 12 0 0 | 8 0 x . x3o3o3o . . . ♦ 10 | 5 20 | 0 10 20 | 0 10 10 | 0 5 2 | * 2016 * | 1 4 0 | 4 4 0 | 4 1 . . x3o3o3o3o . . ♦ 6 | 0 15 | 0 0 20 | 0 0 15 | 0 0 6 | * * 1344 | 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 | 672 * * | 4 0 0 | 4 0 x . x3o3o3o3o . . ♦ 12 | 6 30 | 0 15 40 | 0 20 30 | 0 15 12 | 0 6 2 | * 1344 * | 1 2 0 | 2 1 . . x3o3o3o3o3o . ♦ 7 | 0 21 | 0 0 35 | 0 0 35 | 0 0 21 | 0 0 7 | * * 384 | 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 | 448 * * | 2 0 x . x3o3o3o3o3o . ♦ 14 | 7 42 | 0 21 70 | 0 35 70 | 0 35 42 | 0 21 14 | 0 7 2 | * 384 * | 1 1 . . x3o3o3o3o3o4o ♦ 14 | 0 84 | 0 0 280 | 0 0 560 | 0 0 672 | 0 0 448 | 0 0 128 | * * 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 | 128 * x . x3o3o3o3o3o4o ♦ 28 | 14 168 | 0 84 560 | 0 280 1120 | 0 560 1344 | 0 672 896 | 0 448 256 | 0 128 2 | * 3
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