rectified icosaxennon
wrt. day
wrt. ren
- general polytopal classes:
- Wythoffian polyxenna
- analogs:
- rectified hypercube rCn
links
| Acronym | rade |
| Name |
rectified dekeract, rectified icosaxennon |
| Circumradius | 3/sqrt(2) = 2.121320 |
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Inradius wrt. day | 9/sqrt(20) = 2.012461 |
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Inradius wrt. ren | 1/sqrt(2) = 0.707107 |
| Coordinates | (1/sqrt(2), 1/sqrt(2), 1/sqrt(2), 1/sqrt(2), 1/sqrt(2), 1/sqrt(2), 1/sqrt(2), 1/sqrt(2), 1/sqrt(2), 0) & all permutations, all changes of sign |
| Volume | 3628799/113400 = 31.999991 |
| Surface | (1814395 sqrt(2)+sqrt(5))/5670 = 452.547487 |
| Dihedral angles | |
| Face vector | 5120, 46080, 134400, 230400, 271488, 223104, 126240, 47040, 10420, 1044 |
| Confer |
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External links |
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Incidence matrix according to Dynkin symbol
o3o3o3o3o3o3o3o3x4o . . . . . . . . . . | 5120 | 18 | 72 9 | 168 36 | 252 84 | 252 126 | 168 126 | 72 84 | 18 36 | 2 9 --------------------+------+-------+--------------+--------------+--------------+-------------+-------------+-----------+-----------+-------- . . . . . . . . x . | 2 | 46080 | 8 1 | 28 8 | 56 28 | 70 56 | 56 70 | 28 56 | 8 28 | 1 8 --------------------+------+-------+--------------+--------------+--------------+-------------+-------------+-----------+-----------+-------- . . . . . . . o3x . | 3 | 3 | 122880 * | 7 1 | 21 7 | 35 21 | 35 35 | 21 35 | 7 21 | 1 7 . . . . . . . . x4o | 4 | 4 | * 11520 ♦ 0 8 | 0 28 | 0 56 | 0 70 | 0 56 | 0 28 | 0 8 --------------------+------+-------+--------------+--------------+--------------+-------------+-------------+-----------+-----------+-------- . . . . . . o3o3x . ♦ 4 | 6 | 4 0 | 215040 * | 6 1 | 15 6 | 20 15 | 15 20 | 6 15 | 1 6 . . . . . . . o3x4o ♦ 12 | 24 | 8 6 | * 15360 ♦ 0 7 | 0 21 | 0 35 | 0 35 | 0 21 | 0 7 --------------------+------+-------+--------------+--------------+--------------+-------------+-------------+-----------+-----------+-------- . . . . . o3o3o3x . ♦ 5 | 10 | 10 0 | 5 0 | 258048 * | 5 1 | 10 5 | 10 10 | 5 10 | 1 5 . . . . . . o3o3x4o ♦ 32 | 96 | 64 24 | 16 8 | * 13440 ♦ 0 6 | 0 15 | 0 20 | 0 15 | 0 6 --------------------+------+-------+--------------+--------------+--------------+-------------+-------------+-----------+-----------+-------- . . . . o3o3o3o3x . ♦ 6 | 15 | 20 0 | 15 0 | 6 0 | 215040 * | 4 1 | 6 4 | 4 6 | 1 4 . . . . . o3o3o3x4o ♦ 80 | 320 | 320 80 | 160 40 | 32 10 | * 8064 ♦ 0 5 | 0 10 | 0 10 | 0 5 --------------------+------+-------+--------------+--------------+--------------+-------------+-------------+-----------+-----------+-------- . . . o3o3o3o3o3x . ♦ 7 | 21 | 35 0 | 35 0 | 21 0 | 7 0 | 122880 * | 3 1 | 3 3 | 1 3 . . . . o3o3o3o3x4o ♦ 192 | 960 | 1280 240 | 960 160 | 384 60 | 64 12 | * 3360 ♦ 0 4 | 0 6 | 0 4 --------------------+------+-------+--------------+--------------+--------------+-------------+-------------+-----------+-----------+-------- . . o3o3o3o3o3o3x . ♦ 8 | 28 | 56 0 | 70 0 | 56 0 | 28 0 | 8 0 | 46080 * | 2 1 | 1 2 . . . o3o3o3o3o3x4o ♦ 448 | 2688 | 4480 672 | 4480 560 | 2688 280 | 896 84 | 128 14 | * 960 | 0 3 | 0 3 --------------------+------+-------+--------------+--------------+--------------+-------------+-------------+-----------+-----------+-------- . o3o3o3o3o3o3o3x . ♦ 9 | 36 | 84 0 | 126 0 | 126 0 | 84 0 | 36 0 | 9 0 | 10240 * | 1 1 . . o3o3o3o3o3o3x4o ♦ 1024 | 7168 | 14336 1792 | 17920 1792 | 14336 1120 | 7168 448 | 2048 112 | 256 16 | * 180 | 0 2 --------------------+------+-------+--------------+--------------+--------------+-------------+-------------+-----------+-----------+-------- o3o3o3o3o3o3o3o3x . ♦ 10 | 45 | 120 0 | 210 0 | 252 0 | 210 0 | 120 0 | 45 0 | 10 0 | 1024 * . o3o3o3o3o3o3o3x4o ♦ 2304 | 18432 | 43008 4608 | 64512 5376 | 64512 4032 | 43008 2016 | 18432 672 | 4608 144 | 512 18 | * 20
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