Acronym | lanq (inbetween: rolin) |
Name |
pentacontihexa-hecatonicosihexa-pentacosiheptacontihexa-exon, rectified pentacontihexahecatonicosihexaexon, Gosset polytope 03,2,1 |
Circumradius | sqrt(6) = 2.449490 |
Inradius wrt. bril | 6/sqrt(7) = 2.267787 |
Inradius wrt. brox | 2 |
Inradius wrt. ram | sqrt(3) = 1.732051 |
Dihedral angles | |
Face vector | 10080, 120960, 241920, 191520, 72072, 12348, 758 |
Confer |
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External links |
Incidence matrix according to Dynkin symbol
o3o3x3o *c3o3o3o . . . . . . . | 10080 ♦ 24 | 24 12 36 | 8 12 36 18 24 | 4 12 18 24 12 6 | 6 8 12 6 3 | 4 2 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 -----------------+-------+--------+--------------------+-------------------------------+-----------------------------------+-------------------------+----------- . o3x . . . . | 3 | 3 | 80640 * * | 1 1 3 0 0 | 1 3 3 3 0 0 | 3 3 3 1 0 | 3 1 1 . . x3o . . . | 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 | * * 120960 | 0 0 2 1 2 | 0 1 2 4 2 1 | 1 2 4 2 1 | 2 1 2 -----------------+-------+--------+--------------------+-------------------------------+-----------------------------------+-------------------------+----------- o3o3x . . . . ♦ 4 | 6 | 4 0 0 | 20160 * * * * | 1 3 0 0 0 0 | 3 3 0 0 0 | 3 1 0 . o3x3o . . . ♦ 6 | 12 | 4 4 0 | * 20160 * * * | 1 0 3 0 0 0 | 3 0 3 0 0 | 3 0 1 . o3x . *c3o . . ♦ 6 | 12 | 4 0 4 | * * 60480 * * | 0 1 1 2 0 0 | 1 2 2 1 0 | 2 1 1 . . x3o *c3o . . ♦ 6 | 12 | 0 4 4 | * * * 30240 * | 0 0 2 0 2 0 | 1 0 4 0 1 | 2 0 2 . . x . *c3o3o . ♦ 4 | 6 | 0 0 4 | * * * * 60480 | 0 0 0 2 1 1 | 0 1 2 2 1 | 1 1 2 -----------------+-------+--------+--------------------+-------------------------------+-----------------------------------+-------------------------+----------- o3o3x3o . . . ♦ 10 | 30 | 20 10 0 | 5 5 0 0 0 | 4032 * * * * * | 3 0 0 0 0 | 3 0 0 o3o3x . *c3o . . ♦ 10 | 30 | 20 0 10 | 5 0 5 0 0 | * 12096 * * * * | 1 2 0 0 0 | 2 1 0 . o3x3o *c3o . . ♦ 24 | 96 | 32 32 32 | 0 8 8 8 0 | * * 7560 * * * | 1 0 2 0 0 | 2 0 1 . o3x . *c3o3o . ♦ 10 | 30 | 10 0 20 | 0 0 5 0 5 | * * * 24192 * * | 0 1 1 1 0 | 1 1 1 . . x3o *c3o3o . ♦ 10 | 30 | 0 10 20 | 0 0 0 5 5 | * * * * 12096 * | 0 0 2 0 1 | 1 0 2 . . x . *c3o3o3o ♦ 5 | 10 | 0 0 10 | 0 0 0 0 5 | * * * * * 12096 | 0 0 0 2 1 | 0 1 2 -----------------+-------+--------+--------------------+-------------------------------+-----------------------------------+-------------------------+----------- o3o3x3o *c3o . . ♦ 80 | 480 | 320 160 160 | 80 80 80 40 0 | 16 16 10 0 0 0 | 756 * * * * | 2 0 0 o3o3x . *c3o3o . ♦ 20 | 90 | 60 0 60 | 15 0 30 0 15 | 0 6 0 6 0 0 | * 4032 * * * | 1 1 0 . o3x3o *c3o3o . ♦ 80 | 480 | 160 160 320 | 0 40 80 80 80 | 0 0 10 16 16 0 | * * 1512 * * | 1 0 1 . o3x . *c3o3o3o ♦ 15 | 60 | 20 0 60 | 0 0 15 0 30 | 0 0 0 6 0 6 | * * * 4032 * | 0 1 1 . . x3o *c3o3o3o ♦ 15 | 60 | 0 20 60 | 0 0 0 15 30 | 0 0 0 0 6 6 | * * * * 2016 | 0 0 2 -----------------+-------+--------+--------------------+-------------------------------+-----------------------------------+-------------------------+----------- o3o3x3o *c3o3o . ♦ 720 | 6480 | 4320 2160 4320 | 1080 1080 2160 1080 1080 | 216 432 270 432 216 0 | 27 72 27 0 0 | 56 * * o3o3x . *c3o3o3o ♦ 35 | 210 | 140 0 210 | 35 0 105 0 105 | 0 21 0 42 0 21 | 0 7 0 7 0 | * 576 * . o3x3o *c3o3o3o ♦ 240 | 1920 | 640 640 1920 | 0 160 480 480 960 | 0 0 60 192 192 192 | 0 0 12 32 32 | * * 126
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