in approx. ASCII-art
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r b r -- o3o3x3o3o3o4o (barz) b B b -- o3o3o3x3o3o4o (sez) r b r -- o3o3x3o3o3o4o (barz) where: r = o3x3o3o3o4o (rag) b = o3o3x3o3o4o (brag) B = o3o3o3x3o4o (brox) |
- general polytopal classes:
- Wythoffian polyzetta
links
| Acronym | tark | ||
| Name | trirectified diacosipentacontahexazetton | ||
| Circumradius | sqrt(2) = 1.414214 | ||
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Lace city in approx. ASCII-art |
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| Coordinates | (1/sqrt(2), 1/sqrt(2), 1/sqrt(2), 1/sqrt(2), 0, 0, 0, 0) & all permutations, all changes of sign | ||
| Face vector | 1120, 17920, 53760, 71680, 48384, 16576, 3184, 272 | ||
| Confer |
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External links |
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Incidence matrix according to Dynkin symbol
o3o3o3x3o3o3o4o . . . . . . . . | 1120 ♦ 32 | 48 96 | 32 144 128 | 8 96 192 64 | 24 128 96 4 | 32 64 6 | 16 4 ----------------+------+-------+-------------+------------------+------------------------+--------------------+---------------+------- . . . x . . . . | 2 | 17920 | 3 6 | 3 18 12 | 1 18 36 8 | 6 36 24 1 | 12 24 3 | 8 3 ----------------+------+-------+-------------+------------------+------------------------+--------------------+---------------+------- . . o3x . . . . | 3 | 3 | 17920 * | 2 6 0 | 1 12 12 0 | 6 24 8 0 | 12 16 1 | 8 2 . . . x3o . . . | 3 | 3 | * 35840 | 0 3 4 | 0 3 12 4 | 1 12 12 1 | 4 12 3 | 4 3 ----------------+------+-------+-------------+------------------+------------------------+--------------------+---------------+------- . o3o3x . . . . ♦ 4 | 6 | 4 0 | 8960 * * | 1 6 0 0 | 6 12 0 0 | 12 8 0 | 8 1 . . o3x3o . . . ♦ 6 | 12 | 4 4 | * 26880 * | 0 2 4 0 | 1 8 4 0 | 4 8 1 | 4 2 . . . x3o3o . . ♦ 4 | 6 | 0 4 | * * 35840 | 0 0 3 2 | 0 3 6 1 | 1 6 3 | 2 3 ----------------+------+-------+-------------+------------------+------------------------+--------------------+---------------+------- o3o3o3x . . . . ♦ 5 | 10 | 10 0 | 5 0 0 | 1792 * * * ♦ 6 0 0 0 | 12 0 0 | 8 0 . o3o3x3o . . . ♦ 10 | 30 | 20 10 | 5 5 0 | * 10752 * * | 1 4 0 0 | 4 4 0 | 4 1 . . o3x3o3o . . ♦ 10 | 30 | 10 20 | 0 5 5 | * * 21504 * | 0 2 2 0 | 1 4 1 | 2 2 . . . x3o3o3o . ♦ 5 | 10 | 0 10 | 0 0 5 | * * * 14336 | 0 0 3 1 | 0 3 3 | 1 3 ----------------+------+-------+-------------+------------------+------------------------+--------------------+---------------+------- o3o3o3x3o . . . ♦ 15 | 60 | 60 20 | 30 15 0 | 6 6 0 0 | 1792 * * * | 4 0 0 | 4 0 . o3o3x3o3o . . ♦ 20 | 90 | 60 60 | 15 30 15 | 0 6 6 0 | * 7168 * * | 1 2 0 | 2 1 . . o3x3o3o3o . ♦ 15 | 60 | 20 60 | 0 15 30 | 0 0 6 6 | * * 7168 * | 0 2 1 | 1 2 . . . x3o3o3o4o ♦ 10 | 40 | 0 80 | 0 0 80 | 0 0 0 32 | * * * 448 | 0 0 3 | 0 3 ----------------+------+-------+-------------+------------------+------------------------+--------------------+---------------+------- o3o3o3x3o3o . . ♦ 35 | 210 | 210 140 | 105 105 35 | 21 42 21 0 | 7 7 0 0 | 1024 * * | 2 0 . o3o3x3o3o3o . ♦ 35 | 210 | 140 210 | 35 105 105 | 0 21 42 21 | 0 7 7 0 | * 2048 * | 1 1 . . o3x3o3o3o4o ♦ 60 | 480 | 160 960 | 0 240 960 | 0 0 192 384 | 0 0 64 12 | * * 112 | 0 2 ----------------+------+-------+-------------+------------------+------------------------+--------------------+---------------+------- o3o3o3x3o3o3o . ♦ 70 | 560 | 560 560 | 280 420 280 | 56 168 168 56 | 28 56 28 0 | 8 8 0 | 256 * . o3o3x3o3o3o4o ♦ 280 | 3360 | 2240 6720 | 560 3360 6720 | 0 672 2688 2688 | 0 448 896 84 | 0 128 14 | * 16
o3o3o3x3o3o3o4/3o . . . . . . . . | 1120 ♦ 32 | 48 96 | 32 144 128 | 8 96 192 64 | 24 128 96 4 | 32 64 6 | 16 4 ------------------+------+-------+-------------+------------------+------------------------+--------------------+---------------+------- . . . x . . . . | 2 | 17920 | 3 6 | 3 18 12 | 1 18 36 8 | 6 36 24 1 | 12 24 3 | 8 3 ------------------+------+-------+-------------+------------------+------------------------+--------------------+---------------+------- . . o3x . . . . | 3 | 3 | 17920 * | 2 6 0 | 1 12 12 0 | 6 24 8 0 | 12 16 1 | 8 2 . . . x3o . . . | 3 | 3 | * 35840 | 0 3 4 | 0 3 12 4 | 1 12 12 1 | 4 12 3 | 4 3 ------------------+------+-------+-------------+------------------+------------------------+--------------------+---------------+------- . o3o3x . . . . ♦ 4 | 6 | 4 0 | 8960 * * | 1 6 0 0 | 6 12 0 0 | 12 8 0 | 8 1 . . o3x3o . . . ♦ 6 | 12 | 4 4 | * 26880 * | 0 2 4 0 | 1 8 4 0 | 4 8 1 | 4 2 . . . x3o3o . . ♦ 4 | 6 | 0 4 | * * 35840 | 0 0 3 2 | 0 3 6 1 | 1 6 3 | 2 3 ------------------+------+-------+-------------+------------------+------------------------+--------------------+---------------+------- o3o3o3x . . . . ♦ 5 | 10 | 10 0 | 5 0 0 | 1792 * * * ♦ 6 0 0 0 | 12 0 0 | 8 0 . o3o3x3o . . . ♦ 10 | 30 | 20 10 | 5 5 0 | * 10752 * * | 1 4 0 0 | 4 4 0 | 4 1 . . o3x3o3o . . ♦ 10 | 30 | 10 20 | 0 5 5 | * * 21504 * | 0 2 2 0 | 1 4 1 | 2 2 . . . x3o3o3o . ♦ 5 | 10 | 0 10 | 0 0 5 | * * * 14336 | 0 0 3 1 | 0 3 3 | 1 3 ------------------+------+-------+-------------+------------------+------------------------+--------------------+---------------+------- o3o3o3x3o . . . ♦ 15 | 60 | 60 20 | 30 15 0 | 6 6 0 0 | 1792 * * * | 4 0 0 | 4 0 . o3o3x3o3o . . ♦ 20 | 90 | 60 60 | 15 30 15 | 0 6 6 0 | * 7168 * * | 1 2 0 | 2 1 . . o3x3o3o3o . ♦ 15 | 60 | 20 60 | 0 15 30 | 0 0 6 6 | * * 7168 * | 0 2 1 | 1 2 . . . x3o3o3o4/3o ♦ 10 | 40 | 0 80 | 0 0 80 | 0 0 0 32 | * * * 448 | 0 0 3 | 0 3 ------------------+------+-------+-------------+------------------+------------------------+--------------------+---------------+------- o3o3o3x3o3o . . ♦ 35 | 210 | 210 140 | 105 105 35 | 21 42 21 0 | 7 7 0 0 | 1024 * * | 2 0 . o3o3x3o3o3o . ♦ 35 | 210 | 140 210 | 35 105 105 | 0 21 42 21 | 0 7 7 0 | * 2048 * | 1 1 . . o3x3o3o3o4/3o ♦ 60 | 480 | 160 960 | 0 240 960 | 0 0 192 384 | 0 0 64 12 | * * 112 | 0 2 ------------------+------+-------+-------------+------------------+------------------------+--------------------+---------------+------- o3o3o3x3o3o3o . ♦ 70 | 560 | 560 560 | 280 420 280 | 56 168 168 56 | 28 56 28 0 | 8 8 0 | 256 * . o3o3x3o3o3o4/3o ♦ 280 | 3360 | 2240 6720 | 560 3360 6720 | 0 672 2688 2688 | 0 448 896 84 | 0 128 14 | * 16
o3o3o *b3o3x3o3o3o . . . . . . . . | 1120 ♦ 32 | 96 48 | 128 144 32 | 32 32 192 96 8 | 4 48 48 128 24 | 6 32 32 32 | 4 8 8 -------------------+------+-------+-------------+------------------+----------------------------+-------------------------+--------------------+----------- . . . . x . . . | 2 | 17920 | 6 3 | 12 18 3 | 4 4 36 18 1 | 1 12 12 36 6 | 3 12 12 12 | 3 4 4 -------------------+------+-------+-------------+------------------+----------------------------+-------------------------+--------------------+----------- . . . o3x . . . | 3 | 3 | 35840 * | 4 3 0 | 2 2 12 3 0 | 1 6 6 12 1 | 3 6 6 4 | 3 2 2 . . . . x3o . . | 3 | 3 | * 17920 | 0 6 2 | 0 0 12 12 1 | 0 0 8 24 6 | 1 8 8 12 | 2 4 4 -------------------+------+-------+-------------+------------------+----------------------------+-------------------------+--------------------+----------- . o . *b3o3x . . . ♦ 4 | 6 | 4 0 | 35840 * * | 1 1 3 0 0 | 1 3 3 3 0 | 3 3 3 1 | 3 1 1 . . . o3x3o . . ♦ 6 | 12 | 4 4 | * 26880 * | 0 0 4 2 0 | 0 2 2 8 1 | 1 4 4 4 | 2 2 2 . . . . x3o3o . ♦ 4 | 6 | 0 4 | * * 8960 | 0 0 0 6 1 | 0 0 0 12 6 | 0 4 4 12 | 1 4 4 -------------------+------+-------+-------------+------------------+----------------------------+-------------------------+--------------------+----------- o3o . *b3o3x . . . ♦ 5 | 10 | 10 0 | 5 0 0 | 7168 * * * * | 1 3 0 0 0 | 3 3 0 0 | 3 1 0 . o3o *b3o3x . . . ♦ 5 | 10 | 10 0 | 5 0 0 | * 7168 * * * | 1 0 3 0 0 | 3 0 3 0 | 3 0 1 . o . *b3o3x3o . . ♦ 10 | 30 | 20 10 | 5 5 0 | * * 21504 * * | 0 1 1 2 0 | 1 2 2 1 | 2 1 1 . . . o3x3o3o . ♦ 10 | 30 | 10 20 | 0 5 5 | * * * 10752 * | 0 0 0 4 1 | 0 2 2 4 | 1 2 2 . . . . x3o3o3o ♦ 5 | 10 | 0 10 | 0 0 5 | * * * * 1792 ♦ 0 0 0 0 6 | 0 0 0 12 | 0 4 4 -------------------+------+-------+-------------+------------------+----------------------------+-------------------------+--------------------+----------- o3o3o *b3o3x . . . ♦ 10 | 40 | 80 0 | 80 0 0 | 16 16 0 0 0 | 448 * * * * | 3 0 0 0 | 3 0 0 o3o . *b3o3x3o . . ♦ 15 | 60 | 60 20 | 30 15 0 | 6 0 6 0 0 | * 3584 * * * | 1 2 0 0 | 2 1 0 . o3o *b3o3x3o . . ♦ 15 | 60 | 60 20 | 30 15 0 | 0 6 6 0 0 | * * 3584 * * | 1 0 2 0 | 2 0 1 . o . *b3o3x3o3o . ♦ 20 | 90 | 60 60 | 15 30 15 | 0 0 6 6 0 | * * * 7168 * | 0 1 1 1 | 1 1 1 . . . o3x3o3o3o ♦ 15 | 60 | 20 60 | 0 15 30 | 0 0 0 6 6 | * * * * 1792 | 0 0 0 4 | 0 2 2 -------------------+------+-------+-------------+------------------+----------------------------+-------------------------+--------------------+----------- o3o3o *b3o3x3o . . ♦ 60 | 480 | 960 160 | 960 240 0 | 192 192 192 0 0 | 12 32 32 0 0 | 112 * * * | 2 0 0 o3o . *b3o3x3o3o . ♦ 35 | 210 | 210 140 | 105 105 35 | 21 0 42 21 0 | 0 7 0 7 0 | * 1024 * * | 1 1 0 . o3o *b3o3x3o3o . ♦ 35 | 210 | 210 140 | 105 105 35 | 0 21 42 21 0 | 0 0 7 7 0 | * * 1024 * | 1 0 1 . o . *b3o3x3o3o3o ♦ 35 | 210 | 140 210 | 35 105 105 | 0 0 21 42 21 | 0 0 0 7 7 | * * * 1024 | 0 1 1 -------------------+------+-------+-------------+------------------+----------------------------+-------------------------+--------------------+----------- o3o3o *b3o3x3o3o . ♦ 280 | 3360 | 6720 2240 | 6720 3360 560 | 1344 1344 2688 6720 0 | 84 448 448 448 0 | 14 64 64 0 | 16 * * o3o . *b3o3x3o3o3o ♦ 70 | 560 | 560 560 | 280 420 280 | 56 0 168 168 56 | 0 28 0 56 28 | 0 8 0 8 | * 128 * . o3o *b3o3x3o3o3o ♦ 70 | 560 | 560 560 | 280 420 280 | 0 56 168 168 56 | 0 0 28 56 28 | 0 0 8 8 | * * 128
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