| Acronym | tarv |
| Name | trirectified pentacosidodecayotton |
| Circumradius | sqrt(2) = 1.414214 |
| Coordinates | (1/sqrt(2), 1/sqrt(2), 1/sqrt(2), 1/sqrt(2), 0, 0, 0, 0, 0) & all permutations, all changes of sign |
| Face vector | 2016, 40320, 147840, 262080, 262080, 145152, 42144, 7056, 530 |
| Confer |
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Incidence matrix according to Dynkin symbol
o3o3o3x3o3o3o3o4o . . . . . . . . . | 2016 ♦ 40 | 60 160 | 40 240 320 | 10 160 480 320 | 40 320 480 128 | 80 320 192 4 | 80 128 6 | 32 4 ------------------+------+-------+--------------+--------------------+-------------------------+------------------------+----------------------+---------------+------- . . . x . . . . . | 2 | 40320 | 3 8 | 3 24 24 | 1 24 72 32 | 8 72 96 16 | 24 96 48 1 | 32 48 3 | 16 3 ------------------+------+-------+--------------+--------------------+-------------------------+------------------------+----------------------+---------------+------- . . o3x . . . . . | 3 | 3 | 40320 * | 2 8 0 | 1 16 24 0 | 8 48 32 0 | 24 64 16 0 | 32 32 1 | 16 2 . . . x3o . . . . | 3 | 3 | * 107520 | 0 3 6 | 0 3 18 12 | 1 18 36 8 | 6 36 24 1 | 12 24 3 | 8 3 ------------------+------+-------+--------------+--------------------+-------------------------+------------------------+----------------------+---------------+------- . o3o3x . . . . . ♦ 4 | 6 | 4 0 | 20160 * * | 1 8 0 0 | 8 24 0 0 | 24 32 0 0 | 32 16 0 | 16 1 . . o3x3o . . . . ♦ 6 | 12 | 4 4 | * 80640 * | 0 2 6 0 | 1 12 12 0 | 6 24 8 0 | 12 16 1 | 8 2 . . . x3o3o . . . ♦ 4 | 6 | 0 4 | * * 161280 | 0 0 3 4 | 0 3 12 4 | 1 12 12 1 | 4 12 3 | 4 3 ------------------+------+-------+--------------+--------------------+-------------------------+------------------------+----------------------+---------------+------- o3o3o3x . . . . . ♦ 5 | 10 | 10 0 | 5 0 0 | 4032 * * * ♦ 8 0 0 0 | 24 0 0 0 | 32 0 0 | 16 0 . o3o3x3o . . . . ♦ 10 | 30 | 20 10 | 5 5 0 | * 32256 * * | 1 6 0 0 | 6 12 0 0 | 12 8 0 | 8 1 . . o3x3o3o . . . ♦ 10 | 30 | 10 20 | 0 5 5 | * * 96768 * | 0 2 4 0 | 1 8 4 0 | 4 8 1 | 4 2 . . . x3o3o3o . . ♦ 5 | 10 | 0 10 | 0 0 5 | * * * 129024 | 0 0 3 2 | 0 3 6 1 | 1 6 3 | 2 3 ------------------+------+-------+--------------+--------------------+-------------------------+------------------------+----------------------+---------------+------- o3o3o3x3o . . . . ♦ 15 | 60 | 60 20 | 30 15 0 | 6 6 0 0 | 5376 * * * ♦ 6 0 0 0 | 12 0 0 | 8 0 . o3o3x3o3o . . . ♦ 20 | 90 | 60 60 | 15 30 15 | 0 6 6 0 | * 32256 * * | 1 4 0 0 | 4 4 0 | 4 1 . . o3x3o3o3o . . ♦ 15 | 60 | 20 60 | 0 15 30 | 0 0 6 6 | * * 64512 * | 0 2 2 0 | 1 4 1 | 2 2 . . . x3o3o3o3o . ♦ 6 | 15 | 0 20 | 0 0 15 | 0 0 0 6 | * * * 43008 | 0 0 3 1 | 0 3 3 | 1 3 ------------------+------+-------+--------------+--------------------+-------------------------+------------------------+----------------------+---------------+------- o3o3o3x3o3o . . . ♦ 35 | 210 | 210 140 | 105 105 35 | 21 42 21 0 | 7 7 0 0 | 4608 * * * | 4 0 0 | 4 0 . o3o3x3o3o3o . . ♦ 35 | 210 | 140 210 | 35 105 105 | 0 21 42 21 | 0 7 7 0 | * 18432 * * | 1 2 0 | 2 1 . . o3x3o3o3o3o . ♦ 21 | 105 | 35 140 | 0 35 105 | 0 0 21 42 | 0 0 7 7 | * * 18432 * | 0 2 1 | 1 2 . . . x3o3o3o3o4o ♦ 12 | 60 | 0 160 | 0 0 240 | 0 0 0 192 | 0 0 0 64 | * * * 672 | 0 0 3 | 0 3 ------------------+------+-------+--------------+--------------------+-------------------------+------------------------+----------------------+---------------+------- o3o3o3x3o3o3o . . ♦ 70 | 560 | 560 560 | 280 420 280 | 56 168 168 56 | 28 56 28 0 | 8 8 0 0 | 2304 * * | 2 0 . o3o3x3o3o3o3o . ♦ 56 | 420 | 280 560 | 70 280 420 | 0 56 168 168 | 0 28 56 28 | 0 8 8 0 | * 4608 * | 1 1 . . o3x3o3o3o3o4o ♦ 84 | 840 | 280 2240 | 0 560 3360 | 0 0 672 2688 | 0 0 448 896 | 0 0 128 14 | * * 144 | 0 2 ------------------+------+-------+--------------+--------------------+-------------------------+------------------------+----------------------+---------------+------- o3o3o3x3o3o3o3o . ♦ 126 | 1260 | 1260 1680 | 630 1260 1260 | 126 504 756 504 | 84 252 252 84 | 36 72 36 0 | 9 9 0 | 512 * . o3o3x3o3o3o3o4o ♦ 448 | 6720 | 4480 17920 | 1120 8960 26880 | 0 1792 10752 21504 | 0 1792 7168 7168 | 0 1024 2048 112 | 0 256 16 | * 18
o3o3o *b3o3o3x3o3o3o . . . . . . . . . | 2016 ♦ 40 | 160 60 | 320 240 40 | 320 480 160 10 | 64 64 480 320 40 | 4 96 96 320 80 | 6 64 64 80 | 4 16 16 ---------------------+------+-------+--------------+--------------------+-------------------------+------------------------------+--------------------------+--------------------+----------- . . . . . x . . . | 2 | 40320 | 8 3 | 24 24 3 | 32 72 24 1 | 8 8 96 72 8 | 1 24 24 96 24 | 3 24 24 32 | 3 8 8 ---------------------+------+-------+--------------+--------------------+-------------------------+------------------------------+--------------------------+--------------------+----------- . . . . o3x . . . | 3 | 3 | 107520 * | 6 3 0 | 12 18 3 0 | 4 4 36 18 1 | 1 12 12 36 6 | 3 12 12 12 | 3 4 4 . . . . . x3o . . | 3 | 3 | * 40320 | 0 8 2 | 0 24 16 1 | 0 0 32 48 8 | 0 8 8 64 24 | 1 16 16 32 | 2 8 8 ---------------------+------+-------+--------------+--------------------+-------------------------+------------------------------+--------------------------+--------------------+----------- . . . o3o3x . . . ♦ 4 | 6 | 4 0 | 161280 * * | 4 3 0 0 | 2 2 12 3 0 | 1 6 6 12 1 | 3 6 6 4 | 3 2 2 . . . . o3x3o . . ♦ 6 | 12 | 4 4 | * 80640 * | 0 6 2 0 | 0 0 12 12 1 | 0 4 4 24 6 | 1 8 8 12 | 2 4 4 . . . . . x3o3o . ♦ 4 | 6 | 0 4 | * * 20160 | 0 0 8 1 | 0 0 0 24 8 | 0 0 0 32 24 | 0 8 8 32 | 1 8 8 ---------------------+------+-------+--------------+--------------------+-------------------------+------------------------------+--------------------------+--------------------+----------- . o . *b3o3o3x . . . ♦ 5 | 10 | 10 0 | 5 0 0 | 129024 * * * | 1 1 3 0 0 | 1 3 3 3 0 | 3 3 3 1 | 3 1 1 . . . o3o3x3o . . ♦ 10 | 30 | 20 10 | 5 5 0 | * 96768 * * | 0 0 4 2 0 | 0 2 2 8 1 | 1 4 4 4 | 2 2 2 . . . . o3x3o3o . ♦ 10 | 30 | 10 20 | 0 5 5 | * * 32256 * | 0 0 0 6 1 | 0 0 0 12 6 | 0 4 4 12 | 1 4 4 . . . . . x3o3o3o ♦ 5 | 10 | 0 10 | 0 0 5 | * * * 4032 ♦ 0 0 0 0 8 | 0 0 0 0 24 | 0 0 0 32 | 0 8 8 ---------------------+------+-------+--------------+--------------------+-------------------------+------------------------------+--------------------------+--------------------+----------- o3o . *b3o3o3x . . . ♦ 6 | 15 | 20 0 | 15 0 0 | 6 0 0 0 | 21504 * * * * | 1 3 0 0 0 | 3 3 0 0 | 3 1 0 . o3o *b3o3o3x . . . ♦ 6 | 15 | 20 0 | 15 0 0 | 6 0 0 0 | * 21504 * * * | 1 0 3 0 0 | 3 0 3 0 | 3 0 1 . o . *b3o3o3x3o . . ♦ 15 | 60 | 60 20 | 30 15 0 | 6 6 0 0 | * * 64512 * * | 0 1 1 2 0 | 1 2 2 1 | 2 1 1 . . . o3o3x3o3o . ♦ 20 | 90 | 60 60 | 15 30 15 | 0 6 6 0 | * * * 32256 * | 0 0 0 4 1 | 0 2 2 4 | 1 2 2 . . . . o3x3o3o3o ♦ 15 | 60 | 20 60 | 0 15 30 | 0 0 6 6 | * * * * 5376 ♦ 0 0 0 0 6 | 0 0 0 12 | 0 4 4 ---------------------+------+-------+--------------+--------------------+-------------------------+------------------------------+--------------------------+--------------------+----------- o3o3o *b3o3o3x . . . ♦ 12 | 60 | 160 0 | 240 0 0 | 192 0 0 0 | 32 32 0 0 0 | 672 * * * * | 3 0 0 0 | 3 0 0 o3o . *b3o3o3x3o . . ♦ 21 | 105 | 140 35 | 105 35 0 | 42 21 0 0 | 7 0 7 0 0 | * 9216 * * * | 1 2 0 0 | 2 1 0 . o3o *b3o3o3x3o . . ♦ 21 | 105 | 140 35 | 105 35 0 | 42 21 0 0 | 0 7 7 0 0 | * * 9216 * * | 1 0 2 0 | 2 0 1 . o . *b3o3o3x3o3o . ♦ 35 | 210 | 210 140 | 105 105 35 | 21 42 21 0 | 0 0 7 7 0 | * * * 18432 * | 0 1 1 1 | 1 1 1 . . . o3o3x3o3o3o ♦ 35 | 210 | 140 210 | 35 105 105 | 0 21 42 21 | 0 0 0 7 7 | * * * * 4608 | 0 0 0 4 | 0 2 2 ---------------------+------+-------+--------------+--------------------+-------------------------+------------------------------+--------------------------+--------------------+----------- o3o3o *b3o3o3x3o . . ♦ 84 | 840 | 2240 280 | 3360 560 0 | 2688 672 0 0 | 448 448 448 0 0 | 14 64 64 0 0 | 144 * * * | 2 0 0 o3o . *b3o3o3x3o3o . ♦ 56 | 420 | 560 280 | 420 280 70 | 168 168 56 0 | 28 0 56 28 0 | 0 8 0 8 0 | * 2304 * * | 1 1 0 . o3o *b3o3o3x3o3o . ♦ 56 | 420 | 560 280 | 420 280 70 | 168 168 56 0 | 0 28 56 28 0 | 0 0 8 8 0 | * * 2304 * | 1 0 1 . o . *b3o3o3x3o3o3o ♦ 70 | 560 | 560 560 | 280 420 280 | 56 168 168 56 | 0 0 28 56 28 | 0 0 0 8 8 | * * * 2304 | 0 1 1 ---------------------+------+-------+--------------+--------------------+-------------------------+------------------------------+--------------------------+--------------------+----------- o3o3o *b3o3o3x3o3o . ♦ 448 | 6720 | 17920 4480 | 26880 8960 1120 | 21504 10752 1792 0 | 3584 3584 7168 1792 0 | 112 1024 1024 1024 0 | 16 128 128 0 | 18 * * o3o . *b3o3o3x3o3o3o ♦ 126 | 1260 | 1680 1260 | 1260 1260 630 | 504 756 504 126 | 84 0 252 252 84 | 0 36 0 72 36 | 0 9 0 9 | * 256 * . o3o *b3o3o3x3o3o3o ♦ 126 | 1260 | 1680 1260 | 1260 1260 630 | 504 756 504 126 | 0 84 252 252 84 | 0 0 36 72 36 | 0 0 9 9 | * * 256
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