Acronym | buffy |
Name |
diacositetracont-dischiliahectohexacont-myriaheptachiliadiacosioctaconta-zetton, rectified bif: t1(12,4), birectified bay: t2(21,4), tetrarectified fy: t4(41,2), Gosset polytope 04,2,1 |
Circumradius | sqrt(15) = 3.872983 |
Inradius wrt. broc | 15/4 = 3.75 |
Inradius wrt. bersa | 5/sqrt(2) = 3.535534 |
Inradius wrt. lanq | 3 |
Dihedral angles
(at margins) | |
Face vector | 483840, 7257600, 16934400, 16934400, 9072000, 2661120, 382560, 19680 |
Confer |
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External links |
Incidence matrix according to Dynkin symbol
o3o3x3o *c3o3o3o3o . . . . . . . . | 483840 ♦ 30 | 30 15 60 | 10 15 60 30 60 | 5 20 30 60 30 30 | 10 20 30 30 15 6 | 10 10 15 6 3 | 5 2 3 -------------------+--------+---------+-------------------------+-----------------------------------------+----------------------------------------------+------------------------------------------+--------------------------------+--------------- . . x . . . . . | 2 | 7257600 | 2 1 4 | 1 2 8 4 6 | 1 4 8 12 6 4 | 4 6 12 8 4 1 | 6 4 8 2 1 | 4 1 2 -------------------+--------+---------+-------------------------+-----------------------------------------+----------------------------------------------+------------------------------------------+--------------------------------+--------------- . o3x . . . . . | 3 | 3 | 4838400 * * | 1 1 4 0 0 | 1 4 4 6 0 0 | 4 6 6 4 0 0 | 6 4 4 1 0 | 4 1 1 . . x3o . . . . | 3 | 3 | * 2419200 * | 0 2 0 4 0 | 1 0 8 0 6 0 | 4 0 12 0 4 0 | 6 0 8 0 1 | 4 0 2 . . x . *c3o . . . | 3 | 3 | * * 9676800 | 0 0 2 1 3 | 0 1 2 6 3 3 | 1 3 6 6 3 1 | 3 3 6 2 1 | 3 1 2 -------------------+--------+---------+-------------------------+-----------------------------------------+----------------------------------------------+------------------------------------------+--------------------------------+--------------- o3o3x . . . . . ♦ 4 | 6 | 4 0 0 | 1209600 * * * * | 1 4 0 0 0 0 | 4 6 0 0 0 0 | 6 4 0 0 0 | 4 1 0 . o3x3o . . . . ♦ 6 | 12 | 4 4 0 | * 1209600 * * * | 1 0 4 0 0 0 | 4 0 6 0 0 0 | 6 0 4 0 0 | 4 0 1 . o3x . *c3o . . . ♦ 6 | 12 | 4 0 4 | * * 4838400 * * | 0 1 1 3 0 0 | 1 3 3 3 0 0 | 3 3 3 1 0 | 3 1 1 . . x3o *c3o . . . ♦ 6 | 12 | 0 4 4 | * * * 2419200 * | 0 0 2 0 3 0 | 1 0 6 0 3 0 | 3 0 6 0 1 | 3 0 2 . . x . *c3o3o . . ♦ 4 | 6 | 0 0 4 | * * * * 7257600 | 0 0 0 2 1 2 | 0 1 2 4 2 1 | 1 2 4 2 1 | 2 1 2 -------------------+--------+---------+-------------------------+-----------------------------------------+----------------------------------------------+------------------------------------------+--------------------------------+--------------- o3o3x3o . . . . ♦ 10 | 30 | 20 10 0 | 5 5 0 0 0 | 241920 * * * * * ♦ 4 0 0 0 0 0 | 6 0 0 0 0 | 4 0 0 o3o3x . *c3o . . . ♦ 10 | 30 | 20 0 10 | 5 0 5 0 0 | * 967680 * * * * | 1 3 0 0 0 0 | 3 3 0 0 0 | 3 1 0 . o3x3o *c3o . . . ♦ 24 | 96 | 32 32 32 | 0 8 8 8 0 | * * 604800 * * * | 1 0 3 0 0 0 | 3 0 3 0 0 | 3 0 1 . o3x . *c3o3o . . ♦ 10 | 30 | 10 0 20 | 0 0 5 0 5 | * * * 2903040 * * | 0 1 1 2 0 0 | 1 2 2 1 0 | 2 1 1 . . x3o *c3o3o . . ♦ 10 | 30 | 0 10 20 | 0 0 0 5 5 | * * * * 1451520 * | 0 0 2 0 2 0 | 1 0 4 0 1 | 2 0 2 . . x . *c3o3o3o . ♦ 5 | 10 | 0 0 10 | 0 0 0 0 5 | * * * * * 2903040 | 0 0 0 2 1 1 | 0 1 2 2 1 | 1 1 2 -------------------+--------+---------+-------------------------+-----------------------------------------+----------------------------------------------+------------------------------------------+--------------------------------+--------------- o3o3x3o *c3o . . . ♦ 80 | 480 | 320 160 160 | 80 80 80 40 0 | 16 16 10 0 0 0 | 60480 * * * * * | 3 0 0 0 0 | 3 0 0 o3o3x . *c3o3o . . ♦ 20 | 90 | 60 0 60 | 15 0 30 0 15 | 0 6 0 6 0 0 | * 483840 * * * * | 1 2 0 0 0 | 2 1 0 . o3x3o *c3o3o . . ♦ 80 | 480 | 160 160 320 | 0 40 80 80 80 | 0 0 10 16 16 0 | * * 181440 * * * | 1 0 2 0 0 | 2 0 1 . o3x . *c3o3o3o . ♦ 15 | 60 | 20 0 60 | 0 0 15 0 30 | 0 0 0 6 0 6 | * * * 967680 * * | 0 1 1 1 0 | 1 1 1 . . x3o *c3o3o3o . ♦ 15 | 60 | 0 20 60 | 0 0 0 15 30 | 0 0 0 0 6 6 | * * * * 483840 * | 0 0 2 0 1 | 1 0 2 . . x . *c3o3o3o3o ♦ 6 | 15 | 0 0 20 | 0 0 0 0 15 | 0 0 0 0 0 6 | * * * * * 483840 | 0 0 0 2 1 | 0 1 2 -------------------+--------+---------+-------------------------+-----------------------------------------+----------------------------------------------+------------------------------------------+--------------------------------+--------------- o3o3x3o *c3o3o . . ♦ 720 | 6480 | 4320 2160 4320 | 1080 1080 2160 1080 1080 | 216 432 270 432 216 0 | 27 72 27 0 0 0 | 6720 * * * * | 2 0 0 o3o3x . *c3o3o3o . ♦ 35 | 210 | 140 0 210 | 35 0 105 0 105 | 0 21 0 42 0 21 | 0 7 0 7 0 0 | * 138240 * * * | 1 1 0 . o3x3o *c3o3o3o . ♦ 240 | 1920 | 640 640 1920 | 0 160 480 480 960 | 0 0 60 192 192 192 | 0 0 12 32 32 0 | * * 30240 * * | 1 0 1 . o3x . *c3o3o3o3o ♦ 21 | 105 | 35 0 140 | 0 0 35 0 105 | 0 0 0 21 0 42 | 0 0 0 7 0 7 | * * * 138240 * | 0 1 1 . . x3o *c3o3o3o3o ♦ 21 | 105 | 0 35 140 | 0 0 0 35 105 | 0 0 0 0 21 42 | 0 0 0 0 7 7 | * * * * 69120 | 0 0 2 -------------------+--------+---------+-------------------------+-----------------------------------------+----------------------------------------------+------------------------------------------+--------------------------------+--------------- o3o3x3o *c3o3o3o . ♦ 10080 | 120960 | 80640 40320 120960 | 20160 20160 60480 30240 60480 | 4032 12096 7560 24192 12096 12096 | 756 4032 1512 4032 2016 0 | 56 576 126 0 0 | 240 * * o3o3x . *c3o3o3o3o ♦ 56 | 420 | 280 0 560 | 70 0 280 0 420 | 0 56 0 168 0 168 | 0 28 0 56 0 28 | 0 8 0 8 0 | * 17280 * . o3x3o *c3o3o3o3o ♦ 672 | 6720 | 2240 2240 8960 | 0 560 2240 2240 6720 | 0 0 280 1344 1344 2688 | 0 0 84 448 448 448 | 0 0 14 64 64 | * * 2160
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