| Acronym | brake |
| Name | birectified chilliaicositetraxennon |
| Circumradius | sqrt(3/2) = 1.224745 |
|
Inradius wrt. riv | 1/sqrt(2) = 0.707107 |
|
Inradius wrt. breday | 3/sqrt(20) = 0.670820 |
| Coordinates | (1/sqrt(2), 1/sqrt(2), 1/sqrt(2), 0, 0, 0, 0, 0, 0, 0) & all permutations, all changes of sign |
| Volume | 24427/56700 = 0.430811 |
| Surface | (2515 sqrt(2)+14608 sqrt(5))/5670 = 6.388224 |
|
Dihedral angles
(at margins) | |
| Face vector | 960, 20160, 94080, 245280, 411264, 443520, 291840, 103680, 15540, 1044 |
| Confer |
|
Incidence matrix according to Dynkin symbol
o3o3x3o3o3o3o3o3o4o . . . . . . . . . . | 960 ♦ 42 | 42 252 | 14 252 840 | 84 840 1680 | 280 1680 2016 | 560 2016 1344 | 672 1344 384 | 448 384 3 | 128 3 --------------------+-----+-------+-------------+-------------------+-------------------+---------------------+--------------------+-------------------+----------------+-------- . . x . . . . . . . | 2 | 20160 | 2 12 | 1 24 60 | 12 120 160 | 60 320 240 | 160 480 192 | 240 384 64 | 192 128 1 | 64 2 --------------------+-----+-------+-------------+-------------------+-------------------+---------------------+--------------------+-------------------+----------------+-------- . o3x . . . . . . . | 3 | 3 | 13440 * | 1 12 0 | 12 60 0 | 60 160 0 | 160 240 0 | 240 192 0 | 192 64 0 | 64 1 . . x3o . . . . . . | 3 | 3 | * 80640 | 0 2 10 | 1 20 40 | 10 80 80 | 40 160 80 | 80 160 32 | 80 64 1 | 32 2 --------------------+-----+-------+-------------+-------------------+-------------------+---------------------+--------------------+-------------------+----------------+-------- o3o3x . . . . . . . ♦ 4 | 6 | 4 0 | 3360 * * ♦ 12 0 0 | 60 0 0 | 160 0 0 | 240 0 0 | 192 0 0 | 64 0 . o3x3o . . . . . . ♦ 6 | 12 | 4 4 | * 40320 * | 1 10 0 | 10 40 0 | 40 80 0 | 80 80 0 | 80 32 0 | 32 1 . . x3o3o . . . . . ♦ 4 | 6 | 0 4 | * * 201600 | 0 2 8 | 1 16 24 | 8 48 32 | 24 64 16 | 32 32 1 | 16 2 --------------------+-----+-------+-------------+-------------------+-------------------+---------------------+--------------------+-------------------+----------------+-------- o3o3x3o . . . . . . ♦ 10 | 30 | 20 10 | 5 5 0 | 8064 * * ♦ 10 0 0 | 40 0 0 | 80 0 0 | 80 0 0 | 32 0 . o3x3o3o . . . . . ♦ 10 | 30 | 10 20 | 0 5 5 | * 80640 * | 1 8 0 | 8 24 0 | 24 32 0 | 32 16 0 | 16 1 . . x3o3o3o . . . . ♦ 5 | 10 | 0 10 | 0 0 5 | * * 322560 | 0 2 6 | 1 12 12 | 6 24 8 | 12 16 1 | 8 2 --------------------+-----+-------+-------------+-------------------+-------------------+---------------------+--------------------+-------------------+----------------+-------- o3o3x3o3o . . . . . ♦ 20 | 90 | 60 60 | 15 30 15 | 6 6 0 | 13440 * * ♦ 8 0 0 | 24 0 0 | 32 0 0 | 16 0 . o3x3o3o3o . . . . ♦ 15 | 60 | 20 60 | 0 15 30 | 0 6 6 | * 107520 * | 1 6 0 | 6 12 0 | 12 8 0 | 8 1 . . x3o3o3o3o . . . ♦ 6 | 15 | 0 20 | 0 0 15 | 0 0 6 | * * 322560 | 0 2 4 | 1 8 4 | 4 8 1 | 4 2 --------------------+-----+-------+-------------+-------------------+-------------------+---------------------+--------------------+-------------------+----------------+-------- o3o3x3o3o3o . . . . ♦ 35 | 210 | 140 210 | 35 105 105 | 21 42 21 | 7 7 0 | 15360 * * ♦ 6 0 0 | 12 0 0 | 8 0 . o3x3o3o3o3o . . . ♦ 21 | 105 | 35 140 | 0 35 105 | 0 21 42 | 0 7 7 | * 92160 * | 1 4 0 | 4 4 0 | 4 1 . . x3o3o3o3o3o . . ♦ 7 | 21 | 0 35 | 0 0 35 | 0 0 21 | 0 0 7 | * * 184320 | 0 2 2 | 1 4 1 | 2 2 --------------------+-----+-------+-------------+-------------------+-------------------+---------------------+--------------------+-------------------+----------------+-------- o3o3x3o3o3o3o . . . ♦ 56 | 420 | 280 560 | 70 280 420 | 56 168 168 | 28 56 28 | 8 8 0 | 11520 * * | 4 0 0 | 4 0 . o3x3o3o3o3o3o . . ♦ 28 | 168 | 56 280 | 0 70 280 | 0 56 168 | 0 28 56 | 0 8 8 | * 46080 * | 1 2 0 | 2 1 . . x3o3o3o3o3o3o . ♦ 8 | 28 | 0 56 | 0 0 70 | 0 0 56 | 0 0 28 | 0 0 8 | * * 46080 | 0 2 1 | 1 2 --------------------+-----+-------+-------------+-------------------+-------------------+---------------------+--------------------+-------------------+----------------+-------- o3o3x3o3o3o3o3o . . ♦ 84 | 756 | 504 1260 | 126 630 1260 | 126 504 756 | 84 252 252 | 36 72 36 | 9 9 0 | 5120 * * | 2 0 . o3x3o3o3o3o3o3o . ♦ 36 | 252 | 84 504 | 0 126 630 | 0 126 504 | 0 84 252 | 0 36 72 | 0 9 9 | * 10240 * | 1 1 . . x3o3o3o3o3o3o4o ♦ 16 | 112 | 0 448 | 0 0 1120 | 0 0 1792 | 0 0 1792 | 0 0 1024 | 0 0 256 | * * 180 | 0 2 --------------------+-----+-------+-------------+-------------------+-------------------+---------------------+--------------------+-------------------+----------------+-------- o3o3x3o3o3o3o3o3o . ♦ 120 | 1260 | 840 2520 | 210 1260 3150 | 252 1260 2520 | 210 840 1260 | 120 360 360 | 45 90 45 | 10 10 0 | 1024 * . o3x3o3o3o3o3o3o4o ♦ 144 | 2016 | 672 8064 | 0 2016 20160 | 0 4032 32256 | 0 5376 32256 | 0 4608 18432 | 0 2304 4608 | 0 512 18 | * 20
o3o3o *b3o3o3o3o3x3o3o . . . . . . . . . . | 960 ♦ 42 | 252 42 | 840 252 14 | 1680 840 84 | 2016 1680 280 | 1344 2016 560 | 192 192 1344 672 | 3 192 192 448 | 3 64 64 -----------------------+-----+-------+-------------+-------------------+-------------------+---------------------+--------------------+-------------------------+--------------------+----------- . . . . . . . x . . | 2 | 20160 | 12 2 | 60 24 1 | 160 120 12 | 240 320 60 | 192 480 160 | 32 32 384 240 | 1 64 64 192 | 2 32 32 -----------------------+-----+-------+-------------+-------------------+-------------------+---------------------+--------------------+-------------------------+--------------------+----------- . . . . . . o3x . . | 3 | 3 | 80640 * | 10 2 0 | 40 20 10 | 80 80 10 | 80 160 40 | 16 16 160 80 | 1 32 32 80 | 2 16 16 . . . . . . . x3o . | 3 | 3 | * 13440 | 0 12 1 | 0 60 12 | 0 160 60 | 0 240 160 | 0 0 192 240 | 0 32 32 192 | 1 32 32 -----------------------+-----+-------+-------------+-------------------+-------------------+---------------------+--------------------+-------------------------+--------------------+----------- . . . . . o3o3x . . ♦ 4 | 6 | 4 0 | 201600 * * | 8 2 0 | 24 16 1 | 32 48 8 | 8 8 64 24 | 1 16 16 32 | 2 8 8 . . . . . . o3x3o . ♦ 6 | 12 | 4 4 | * 40320 * | 0 10 1 | 0 40 10 | 0 80 40 | 0 0 80 80 | 0 16 16 80 | 1 16 16 . . . . . . . x3o3o ♦ 4 | 6 | 0 4 | * * 3360 ♦ 0 0 12 | 0 0 60 | 0 0 160 | 0 0 0 240 | 0 0 0 192 | 0 32 32 -----------------------+-----+-------+-------------+-------------------+-------------------+---------------------+--------------------+-------------------------+--------------------+----------- . . . . o3o3o3x . . ♦ 5 | 10 | 10 0 | 5 0 0 | 322560 * * | 6 2 0 | 12 12 1 | 4 4 24 6 | 1 8 8 12 | 2 4 4 . . . . . o3o3x3o . ♦ 10 | 30 | 20 10 | 5 5 0 | * 80640 * | 0 8 1 | 0 24 8 | 0 0 32 24 | 0 8 8 32 | 1 8 8 . . . . . . o3x3o3o ♦ 10 | 30 | 10 20 | 0 5 5 | * * 8064 ♦ 0 0 10 | 0 0 40 | 0 0 0 80 | 0 0 0 80 | 0 16 16 -----------------------+-----+-------+-------------+-------------------+-------------------+---------------------+--------------------+-------------------------+--------------------+----------- . . . o3o3o3o3x . . ♦ 6 | 15 | 20 0 | 15 0 0 | 6 0 0 | 322560 * * | 4 2 0 | 2 2 8 1 | 1 4 4 4 | 2 2 2 . . . . o3o3o3x3o . ♦ 15 | 60 | 60 20 | 30 15 0 | 6 6 0 | * 107520 * | 0 6 1 | 0 0 12 6 | 0 4 4 12 | 1 4 4 . . . . . o3o3x3o3o ♦ 20 | 90 | 60 60 | 15 30 15 | 0 6 6 | * * 13440 ♦ 0 0 8 | 0 0 0 24 | 0 0 0 32 | 0 8 8 -----------------------+-----+-------+-------------+-------------------+-------------------+---------------------+--------------------+-------------------------+--------------------+----------- . o . *b3o3o3o3o3x . . ♦ 7 | 21 | 35 0 | 35 0 0 | 21 0 0 | 7 0 0 | 184320 * * | 1 1 2 0 | 1 2 2 1 | 2 1 1 . . . o3o3o3o3x3o . ♦ 21 | 105 | 140 35 | 105 35 0 | 42 21 0 | 7 7 0 | * 92160 * | 0 0 4 1 | 0 2 2 4 | 1 2 2 . . . . o3o3o3x3o3o ♦ 35 | 210 | 210 140 | 105 105 35 | 21 42 21 | 0 7 7 | * * 15360 ♦ 0 0 0 6 | 0 0 0 12 | 0 4 4 -----------------------+-----+-------+-------------+-------------------+-------------------+---------------------+--------------------+-------------------------+--------------------+----------- o3o . *b3o3o3o3o3x . . ♦ 8 | 28 | 56 0 | 70 0 0 | 56 0 0 | 28 0 0 | 8 0 0 | 23040 * * * | 1 2 0 0 | 2 1 0 . o3o *b3o3o3o3o3x . . ♦ 8 | 28 | 56 0 | 70 0 0 | 56 0 0 | 28 0 0 | 8 0 0 | * 23040 * * | 1 0 2 0 | 2 0 1 . o . *b3o3o3o3o3x3o . ♦ 28 | 168 | 280 56 | 280 70 0 | 168 56 0 | 56 28 0 | 8 8 0 | * * 46080 * | 0 1 1 1 | 1 1 1 . . . o3o3o3o3x3o3o ♦ 56 | 420 | 560 280 | 420 280 70 | 168 168 56 | 28 56 28 | 0 8 8 | * * * 11520 | 0 0 0 4 | 0 2 2 -----------------------+-----+-------+-------------+-------------------+-------------------+---------------------+--------------------+-------------------------+--------------------+----------- o3o3o *b3o3o3o3o3x . . ♦ 16 | 112 | 448 0 | 1120 0 0 | 1792 0 0 | 1792 0 0 | 1024 0 0 | 128 128 0 0 | 180 * * * | 2 0 0 o3o . *b3o3o3o3o3x3o . ♦ 36 | 252 | 504 84 | 630 126 0 | 504 126 0 | 252 84 0 | 72 36 0 | 9 0 9 0 | * 5120 * * | 1 1 0 . o3o *b3o3o3o3o3x3o . ♦ 36 | 252 | 504 84 | 630 126 0 | 504 126 0 | 252 84 0 | 72 36 0 | 0 9 9 0 | * * 5120 * | 1 0 1 . o . *b3o3o3o3o3x3o3o ♦ 84 | 756 | 1260 504 | 1260 630 126 | 756 504 126 | 252 252 84 | 36 72 36 | 0 0 9 9 | * * * 5120 | 0 1 1 -----------------------+-----+-------+-------------+-------------------+-------------------+---------------------+--------------------+-------------------------+--------------------+----------- o3o3o *b3o3o3o3o3x3o . ♦ 144 | 2016 | 8064 672 | 20160 2016 0 | 32256 4032 0 | 32256 5376 0 | 18432 4608 0 | 2304 2304 2304 0 | 18 256 256 0 | 20 * * o3o . *b3o3o3o3o3x3o3o ♦ 120 | 1260 | 2520 840 | 3150 1260 210 | 2520 1260 252 | 1260 840 210 | 360 360 120 | 45 0 90 45 | 0 10 0 10 | * 512 * . o3o *b3o3o3o3o3x3o3o ♦ 120 | 1260 | 2520 840 | 3150 1260 210 | 2520 1260 252 | 1260 840 210 | 360 360 120 | 0 45 90 45 | 0 0 10 10 | * * 512
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