Acronym | tolin |
Name | truncated pentacontihexahecatonicosihexaexon |
Circumradius | sqrt(55)/2 = 3.708099 |
Inradius wrt. bril | 19/sqrt(28) = 3.590662 |
Inradius wrt. thax | 3 |
Inradius wrt. tim | sqrt(27)/2 = 2.598076 |
Dihedral angles
(at margins) | |
Face vector | 20160, 131040, 241920, 191520, 72072, 12348, 758 |
Confer |
|
Incidence matrix according to Dynkin symbol
o3o3x3x *c3o3o3o o3o3o3o *c3o3o3o | 20160 | 12 2 | 12 12 18 | 4 12 18 18 12 | 4 6 18 12 12 3 | 6 4 12 3 3 | 4 1 3 -----------------+-------+--------------+--------------------+-------------------------------+-----------------------------------+-------------------------+----------- . . x . . . . | 2 | 120960 * | 2 1 3 | 1 2 6 3 3 | 1 3 6 6 3 1 | 3 3 6 2 1 | 3 1 2 . . . x . . . | 2 | * 10080 ♦ 0 12 0 | 0 12 0 18 0 | 4 0 18 0 12 0 | 6 0 12 0 3 | 4 0 3 -----------------+-------+--------------+--------------------+-------------------------------+-----------------------------------+-------------------------+----------- . o3x . . . . | 3 | 3 0 | 80640 * * | 1 1 3 0 0 | 1 3 3 3 0 0 | 3 3 3 1 0 | 3 1 1 . . x3x . . . | 6 | 3 3 | * 40320 * | 0 2 0 3 0 | 1 0 6 0 3 0 | 3 0 6 0 1 | 3 0 2 . . x . *c3o . . | 3 | 3 0 | * * 120960 | 0 0 2 1 2 | 0 1 2 4 2 1 | 1 2 4 2 1 | 2 1 2 -----------------+-------+--------------+--------------------+-------------------------------+-----------------------------------+-------------------------+----------- o3o3x . . . . ♦ 4 | 6 0 | 4 0 0 | 20160 * * * * | 1 3 0 0 0 0 | 3 3 0 0 0 | 3 1 0 . o3x3x . . . ♦ 12 | 12 6 | 4 4 0 | * 20160 * * * | 1 0 3 0 0 0 | 3 0 3 0 0 | 3 0 1 . o3x . *c3o . . ♦ 6 | 12 0 | 4 0 4 | * * 60480 * * | 0 1 1 2 0 0 | 1 2 2 1 0 | 2 1 1 . . x3x *c3o . . ♦ 12 | 12 6 | 0 4 4 | * * * 30240 * | 0 0 2 0 2 0 | 1 0 4 0 1 | 2 0 2 . . x . *c3o3o . ♦ 4 | 6 0 | 0 0 4 | * * * * 60480 | 0 0 0 2 1 1 | 0 1 2 2 1 | 1 1 2 -----------------+-------+--------------+--------------------+-------------------------------+-----------------------------------+-------------------------+----------- o3o3x3x . . . ♦ 20 | 30 10 | 20 10 0 | 5 5 0 0 0 | 4032 * * * * * | 3 0 0 0 0 | 3 0 0 o3o3x . *c3o . . ♦ 10 | 30 0 | 20 0 10 | 5 0 5 0 0 | * 12096 * * * * | 1 2 0 0 0 | 2 1 0 . o3x3x *c3o . . ♦ 48 | 96 24 | 32 32 32 | 0 8 8 8 0 | * * 7560 * * * | 1 0 2 0 0 | 2 0 1 . o3x . *c3o3o . ♦ 10 | 30 0 | 10 0 20 | 0 0 5 0 5 | * * * 24192 * * | 0 1 1 1 0 | 1 1 1 . . x3x *c3o3o . ♦ 20 | 30 10 | 0 10 20 | 0 0 0 5 5 | * * * * 12096 * | 0 0 2 0 1 | 1 0 2 . . x . *c3o3o3o ♦ 5 | 10 0 | 0 0 10 | 0 0 0 0 5 | * * * * * 12096 | 0 0 0 2 1 | 0 1 2 -----------------+-------+--------------+--------------------+-------------------------------+-----------------------------------+-------------------------+----------- o3o3x3x *c3o . . ♦ 160 | 480 80 | 320 160 160 | 80 80 80 40 0 | 16 16 10 0 0 0 | 756 * * * * | 2 0 0 o3o3x . *c3o3o . ♦ 20 | 90 0 | 60 0 60 | 15 0 30 0 15 | 0 6 0 6 0 0 | * 4032 * * * | 1 1 0 . o3x3x *c3o3o . ♦ 160 | 480 80 | 160 160 320 | 0 40 80 80 80 | 0 0 10 16 16 0 | * * 1512 * * | 1 0 1 . o3x . *c3o3o3o ♦ 15 | 60 0 | 20 0 60 | 0 0 15 0 30 | 0 0 0 6 0 6 | * * * 4032 * | 0 1 1 . . x3x *c3o3o3o ♦ 30 | 60 15 | 0 20 60 | 0 0 0 15 30 | 0 0 0 0 6 6 | * * * * 2016 | 0 0 2 -----------------+-------+--------------+--------------------+-------------------------------+-----------------------------------+-------------------------+----------- o3o3x3x *c3o3o . ♦ 1440 | 6480 720 | 4320 2160 4320 | 1080 1080 2160 1080 1080 | 216 432 270 432 216 0 | 27 72 27 0 0 | 56 * * o3o3x . *c3o3o3o ♦ 35 | 210 0 | 140 0 210 | 35 0 105 0 105 | 0 21 0 42 0 21 | 0 7 0 7 0 | * 576 * . o3x3x *c3o3o3o ♦ 480 | 1920 240 | 640 640 1920 | 0 160 480 480 960 | 0 0 60 192 192 192 | 0 0 12 32 32 | * * 126
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