trirectified hexadecazetton
- general polytopal classes:
- Wythoffian polyzetta
links
| Acronym | tro |
| Name |
trirectified octeract, trirectified hexadecazetton |
| Circumradius | sqrt(5/2) = 1.581139 |
| Coordinates | (1/sqrt(2), 1/sqrt(2), 1/sqrt(2), 1/sqrt(2), 1/sqrt(2), 0, 0, 0) & all permutations, all changes of sign |
| Face vector | 1792, 26880, 71680, 80640, 47712, 16576, 3184, 272 |
| Confer |
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External links |
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Incidence matrix according to Dynkin symbol
o3o3o3o3x3o3o4o . . . . . . . . | 1792 ♦ 30 | 60 60 | 60 120 40 | 30 120 80 5 | 6 60 80 10 | 12 40 10 | 8 5 ----------------+------+-------+-------------+-------------------+------------------------+--------------------+---------------+------- . . . . x . . . | 2 | 26880 | 4 4 | 6 16 4 | 4 24 16 1 | 1 16 16 4 | 4 16 6 | 4 4 ----------------+------+-------+-------------+-------------------+------------------------+--------------------+---------------+------- . . . o3x . . . | 3 | 3 | 35840 * | 3 4 0 | 3 12 4 0 | 1 12 12 1 | 4 12 3 | 4 3 . . . . x3o . . | 3 | 3 | * 35840 | 0 4 2 | 0 6 8 1 | 0 4 12 4 | 1 8 6 | 2 4 ----------------+------+-------+-------------+-------------------+------------------------+--------------------+---------------+------- . . o3o3x . . . ♦ 4 | 6 | 4 0 | 26880 * * | 2 4 0 0 | 1 8 4 0 | 4 8 1 | 4 2 . . . o3x3o . . ♦ 6 | 12 | 4 4 | * 35840 * | 0 3 2 0 | 0 3 6 1 | 1 6 3 | 2 3 . . . . x3o3o . ♦ 4 | 6 | 0 4 | * * 17920 | 0 0 4 1 | 0 0 6 4 | 0 4 6 | 1 4 ----------------+------+-------+-------------+-------------------+------------------------+--------------------+---------------+------- . o3o3o3x . . . ♦ 5 | 10 | 10 0 | 5 0 0 | 10752 * * * | 1 4 0 0 | 4 4 0 | 4 1 . . o3o3x3o . . ♦ 10 | 30 | 20 10 | 5 5 0 | * 21504 * * | 0 2 2 0 | 1 4 1 | 2 2 . . . o3x3o3o . ♦ 10 | 30 | 10 20 | 0 5 5 | * * 14336 * | 0 0 3 1 | 0 3 3 | 1 3 . . . . x3o3o4o ♦ 8 | 24 | 0 32 | 0 0 16 | * * * 1120 ♦ 0 0 0 4 | 0 0 6 | 0 4 ----------------+------+-------+-------------+-------------------+------------------------+--------------------+---------------+------- o3o3o3o3x . . . ♦ 6 | 15 | 20 0 | 15 0 0 | 6 0 0 0 | 1792 * * * | 4 0 0 | 4 0 . o3o3o3x3o . . ♦ 15 | 60 | 60 20 | 30 15 0 | 6 6 0 0 | * 7168 * * | 1 2 0 | 2 1 . . o3o3x3o3o . ♦ 20 | 90 | 60 60 | 15 30 15 | 0 6 6 0 | * * 7168 * | 0 2 1 | 1 2 . . . o3x3o3o4o ♦ 40 | 240 | 80 320 | 0 80 160 | 0 0 32 10 | * * * 448 | 0 0 3 | 0 3 ----------------+------+-------+-------------+-------------------+------------------------+--------------------+---------------+------- o3o3o3o3x3o . . ♦ 21 | 105 | 140 35 | 105 35 0 | 42 21 0 0 | 7 7 0 0 | 1024 * * | 2 0 . o3o3o3x3o3o . ♦ 35 | 210 | 210 140 | 105 105 35 | 21 42 21 0 | 0 7 7 0 | * 2048 * | 1 1 . . o3o3x3o3o4o ♦ 160 | 1440 | 960 1920 | 240 960 960 | 0 192 384 60 | 0 0 64 12 | * * 112 | 0 2 ----------------+------+-------+-------------+-------------------+------------------------+--------------------+---------------+------- o3o3o3o3x3o3o . ♦ 56 | 420 | 560 280 | 420 280 70 | 168 168 56 0 | 28 56 28 0 | 8 8 0 | 256 * . o3o3o3x3o3o4o ♦ 560 | 6720 | 6720 8960 | 3360 6720 4480 | 672 2688 2688 280 | 0 448 896 84 | 0 128 14 | * 16
o3o3o3o3x3o3o4/3o . . . . . . . . | 1792 ♦ 30 | 60 60 | 60 120 40 | 30 120 80 5 | 6 60 80 10 | 12 40 10 | 8 5 ------------------+------+-------+-------------+-------------------+------------------------+--------------------+---------------+------- . . . . x . . . | 2 | 26880 | 4 4 | 6 16 4 | 4 24 16 1 | 1 16 16 4 | 4 16 6 | 4 4 ------------------+------+-------+-------------+-------------------+------------------------+--------------------+---------------+------- . . . o3x . . . | 3 | 3 | 35840 * | 3 4 0 | 3 12 4 0 | 1 12 12 1 | 4 12 3 | 4 3 . . . . x3o . . | 3 | 3 | * 35840 | 0 4 2 | 0 6 8 1 | 0 4 12 4 | 1 8 6 | 2 4 ------------------+------+-------+-------------+-------------------+------------------------+--------------------+---------------+------- . . o3o3x . . . ♦ 4 | 6 | 4 0 | 26880 * * | 2 4 0 0 | 1 8 4 0 | 4 8 1 | 4 2 . . . o3x3o . . ♦ 6 | 12 | 4 4 | * 35840 * | 0 3 2 0 | 0 3 6 1 | 1 6 3 | 2 3 . . . . x3o3o . ♦ 4 | 6 | 0 4 | * * 17920 | 0 0 4 1 | 0 0 6 4 | 0 4 6 | 1 4 ------------------+------+-------+-------------+-------------------+------------------------+--------------------+---------------+------- . o3o3o3x . . . ♦ 5 | 10 | 10 0 | 5 0 0 | 10752 * * * | 1 4 0 0 | 4 4 0 | 4 1 . . o3o3x3o . . ♦ 10 | 30 | 20 10 | 5 5 0 | * 21504 * * | 0 2 2 0 | 1 4 1 | 2 2 . . . o3x3o3o . ♦ 10 | 30 | 10 20 | 0 5 5 | * * 14336 * | 0 0 3 1 | 0 3 3 | 1 3 . . . . x3o3o4/3o ♦ 8 | 24 | 0 32 | 0 0 16 | * * * 1120 ♦ 0 0 0 4 | 0 0 6 | 0 4 ------------------+------+-------+-------------+-------------------+------------------------+--------------------+---------------+------- o3o3o3o3x . . . ♦ 6 | 15 | 20 0 | 15 0 0 | 6 0 0 0 | 1792 * * * | 4 0 0 | 4 0 . o3o3o3x3o . . ♦ 15 | 60 | 60 20 | 30 15 0 | 6 6 0 0 | * 7168 * * | 1 2 0 | 2 1 . . o3o3x3o3o . ♦ 20 | 90 | 60 60 | 15 30 15 | 0 6 6 0 | * * 7168 * | 0 2 1 | 1 2 . . . o3x3o3o4/3o ♦ 40 | 240 | 80 320 | 0 80 160 | 0 0 32 10 | * * * 448 | 0 0 3 | 0 3 ------------------+------+-------+-------------+-------------------+------------------------+--------------------+---------------+------- o3o3o3o3x3o . . ♦ 21 | 105 | 140 35 | 105 35 0 | 42 21 0 0 | 7 7 0 0 | 1024 * * | 2 0 . o3o3o3x3o3o . ♦ 35 | 210 | 210 140 | 105 105 35 | 21 42 21 0 | 0 7 7 0 | * 2048 * | 1 1 . . o3o3x3o3o4/3o ♦ 160 | 1440 | 960 1920 | 240 960 960 | 0 192 384 60 | 0 0 64 12 | * * 112 | 0 2 ------------------+------+-------+-------------+-------------------+------------------------+--------------------+---------------+------- o3o3o3o3x3o3o . ♦ 56 | 420 | 560 280 | 420 280 70 | 168 168 56 0 | 28 56 28 0 | 8 8 0 | 256 * . o3o3o3x3o3o4/3o ♦ 560 | 6720 | 6720 8960 | 3360 6720 4480 | 672 2688 2688 280 | 0 448 896 84 | 0 128 14 | * 16
o3o3o *b3x3o3o3o3o . . . . . . . . | 1792 ♦ 30 | 60 60 | 20 20 120 60 | 5 40 40 120 30 | 10 40 40 60 6 | 10 20 20 12 | 5 4 4 -------------------+------+-------+-------------+-----------------------+----------------------------+-------------------------+--------------------+----------- . . . x . . . . | 2 | 26880 | 4 4 | 2 2 16 6 | 1 8 8 24 4 | 4 8 8 16 1 | 6 8 8 4 | 4 2 2 -------------------+------+-------+-------------+-----------------------+----------------------------+-------------------------+--------------------+----------- . o . *b3x . . . . | 3 | 3 | 35840 * | 1 1 4 0 | 1 4 4 6 0 | 4 6 6 4 0 | 6 4 4 1 | 4 1 1 . . . x3o . . . | 3 | 3 | * 35840 | 0 0 4 3 | 0 2 2 12 3 | 1 6 6 12 1 | 3 6 6 4 | 3 2 2 -------------------+------+-------+-------------+-----------------------+----------------------------+-------------------------+--------------------+----------- o3o . *b3x . . . . ♦ 4 | 6 | 4 0 | 8960 * * * | 1 4 0 0 0 | 4 6 0 0 0 | 6 4 0 0 | 4 1 0 . o3o *b3x . . . . ♦ 4 | 6 | 4 0 | * 8960 * * | 1 0 4 0 0 | 4 0 6 0 0 | 6 0 4 0 | 4 0 1 . o . *b3x3o . . . ♦ 6 | 12 | 4 4 | * * 35840 * | 0 1 1 3 0 | 1 3 3 3 0 | 3 3 3 1 | 3 1 1 . . . x3o3o . . ♦ 4 | 6 | 0 4 | * * * 26880 | 0 0 0 4 2 | 0 2 2 8 1 | 1 4 4 4 | 2 2 2 -------------------+------+-------+-------------+-----------------------+----------------------------+-------------------------+--------------------+----------- o3o3o *b3x . . . . ♦ 8 | 24 | 32 0 | 8 8 0 0 | 1120 * * * * ♦ 4 0 0 0 0 | 6 0 0 0 | 4 0 0 o3o . *b3x3o . . . ♦ 10 | 30 | 20 10 | 5 0 5 0 | * 7168 * * * | 1 3 0 0 0 | 3 3 0 0 | 3 1 0 . o3o *b3x3o . . . ♦ 10 | 30 | 20 10 | 0 5 5 0 | * * 7168 * * | 1 0 3 0 0 | 3 0 3 0 | 3 0 1 . o . *b3x3o3o . . ♦ 10 | 30 | 10 20 | 0 0 5 5 | * * * 21504 * | 0 1 1 2 0 | 1 2 2 1 | 2 1 1 . . . x3o3o3o . ♦ 5 | 10 | 0 10 | 0 0 0 5 | * * * * 10752 | 0 0 0 4 1 | 0 2 2 4 | 1 2 2 -------------------+------+-------+-------------+-----------------------+----------------------------+-------------------------+--------------------+----------- o3o3o *b3x3o . . . ♦ 40 | 240 | 320 80 | 80 80 80 0 | 10 16 16 0 0 | 448 * * * * | 3 0 0 0 | 3 0 0 o3o . *b3x3o3o . . ♦ 20 | 90 | 60 60 | 15 0 30 15 | 0 6 0 6 0 | * 3584 * * * | 1 2 0 0 | 2 1 0 . o3o *b3x3o3o . . ♦ 20 | 90 | 60 60 | 0 15 30 15 | 0 0 6 6 0 | * * 3584 * * | 1 0 2 0 | 2 0 1 . o . *b3x3o3o3o . ♦ 15 | 60 | 20 60 | 0 0 15 30 | 0 0 0 6 6 | * * * 7168 * | 0 1 1 1 | 1 1 1 . . . x3o3o3o3o ♦ 6 | 15 | 0 20 | 0 0 0 15 | 0 0 0 0 6 | * * * * 1792 | 0 0 0 4 | 0 2 2 -------------------+------+-------+-------------+-----------------------+----------------------------+-------------------------+--------------------+----------- o3o3o *b3x3o3o . . ♦ 160 | 1440 | 1920 960 | 480 480 960 240 | 60 192 192 192 0 | 12 32 32 0 0 | 112 * * * | 2 0 0 o3o . *b3x3o3o3o . ♦ 35 | 210 | 140 210 | 35 0 105 105 | 0 21 0 42 21 | 0 7 0 7 0 | * 1024 * * | 1 1 0 . o3o *b3x3o3o3o . ♦ 35 | 210 | 140 210 | 0 35 105 105 | 0 0 21 42 21 | 0 0 7 7 0 | * * 1024 * | 1 0 1 . o . *b3x3o3o3o3o ♦ 21 | 105 | 35 140 | 0 0 35 105 | 0 0 0 21 42 | 0 0 0 7 7 | * * * 1024 | 0 1 1 -------------------+------+-------+-------------+-----------------------+----------------------------+-------------------------+--------------------+----------- o3o3o *b3x3o3o3o . ♦ 560 | 6720 | 8960 6720 | 2240 2240 6720 3360 | 280 1344 1344 2688 672 | 84 448 448 448 0 | 14 64 64 0 | 16 * * o3o . *b3x3o3o3o3o ♦ 56 | 420 | 280 560 | 70 0 280 420 | 0 56 0 168 168 | 0 28 0 56 28 | 0 8 0 8 | * 128 * o3o . *b3x3o3o3o3o ♦ 56 | 420 | 280 560 | 0 70 280 420 | 0 0 56 168 168 | 0 0 28 56 28 | 0 0 8 8 | * * 128
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