wrt. tratepe
wrt. staf
wrt. scadip
wrt. traspid
wrt. sochax
wrt. siphinnip
wrt. hejak
- general polytopal classes:
- Wythoffian polyexa
- analogs:
- all-ends expanded Gossetic eEn
links
| Acronym | sethalq |
| Name | small terademified pentacontihexapentacosiheptacontihexaexon |
| Circumradius | sqrt(8) = 2.828427 |
|
Inradius wrt. tratepe | 13/sqrt(24) = 2.653614 |
|
Inradius wrt. staf | sqrt(7) = 2.645751 |
|
Inradius wrt. scadip | sqrt(27)/2 = 2.598076 |
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Inradius wrt. traspid | sqrt(20/3) = 2.581989 |
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Inradius wrt. sochax | 5/2 = 2.5 |
|
Inradius wrt. siphinnip | 7/sqrt(8) = 2.474874 |
|
Inradius wrt. hejak | 4/sqrt(3) = 2.309401 |
| Volume | 34715/8 = 4339.375 |
| Surface | [19159+58842 sqrt(2)+38962 sqrt(3)+4200 sqrt(6)+1848 sqrt(7)+14700 sqrt(15)]/20 = 12098.418927 |
| Dihedral angles | |
| Face vector | 24192, 241920, 826560, 1249920, 896112, 272664, 17642 |
| Confer |
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External links |
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Incidence matrix according to Dynkin symbol
x3o3o3x *c3o3o3x . . . . . . . | 24192 | 5 10 5 | 10 20 20 30 30 10 | 10 10 30 30 60 30 10 20 60 30 10 | 10 5 20 30 30 20 60 60 20 5 20 5 20 30 5 10 | 5 20 1 5 10 30 10 5 20 30 5 20 1 5 10 1 5 | 1 5 10 1 10 5 1 -----------------+-------+--------------------+-----------------------------------------+--------------------------------------------------------------------------+---------------------------------------------------------------------------------------------------+-------------------------------------------------------------------------------------------------+------------------------------- x . . . . . . | 2 | 60480 * * | 4 4 4 0 0 0 | 6 4 12 6 12 6 0 0 0 0 0 | 6 4 12 12 12 4 12 12 4 0 0 0 0 0 0 0 | 4 12 1 4 6 12 4 1 4 6 1 4 0 0 0 0 0 | 1 4 6 1 4 1 0 . . . x . . . | 2 | * 120960 * | 0 2 0 6 3 0 | 0 1 0 6 6 0 3 6 12 3 0 | 3 0 0 3 0 6 12 6 0 3 6 2 6 6 0 1 | 3 6 0 0 0 3 0 2 6 6 0 2 1 3 3 0 2 | 1 3 3 0 1 2 1 . . . . . . x | 2 | * * 60480 | 0 0 4 0 6 4 | 0 0 6 0 12 12 0 0 12 12 6 | 0 0 4 6 12 0 12 24 12 0 4 0 4 12 4 6 | 0 4 0 1 4 12 6 0 4 12 4 12 0 1 4 1 4 | 0 1 4 1 6 4 1 -----------------+-------+--------------------+-----------------------------------------+--------------------------------------------------------------------------+---------------------------------------------------------------------------------------------------+-------------------------------------------------------------------------------------------------+------------------------------- x3o . . . . . | 3 | 3 0 0 | 80640 * * * * * | 3 1 3 0 0 0 0 0 0 0 0 | 3 3 6 3 3 0 0 0 0 0 0 0 0 0 0 0 | 3 6 1 3 3 3 1 0 0 0 0 0 0 0 0 0 0 | 1 3 3 1 1 0 0 x . . x . . . | 4 | 2 2 0 | * 120960 * * * * | 0 1 0 3 3 0 0 0 0 0 0 | 3 0 0 3 0 3 6 3 0 0 0 0 0 0 0 0 | 3 6 0 0 0 3 0 1 3 3 0 1 0 0 0 0 0 | 1 3 3 0 1 1 0 x . . . . . x | 4 | 2 0 2 | * * 120960 * * * | 0 0 3 0 3 3 0 0 0 0 0 | 0 0 3 3 6 0 3 6 3 0 0 0 0 0 0 0 | 0 3 0 1 3 6 3 0 1 3 1 3 0 0 0 0 0 | 0 1 3 1 3 1 0 . . o3x . . . | 3 | 0 3 0 | * * * 241920 * * | 0 0 0 2 0 0 1 2 2 0 0 | 1 0 0 0 0 2 2 0 0 2 2 1 2 1 0 0 | 2 2 0 0 0 0 0 1 2 1 0 0 1 2 1 0 1 | 1 2 1 0 0 1 1 . . . x . . x | 4 | 0 2 2 | * * * * 181440 * | 0 0 0 0 2 0 0 0 4 2 0 | 0 0 0 1 0 0 4 4 0 0 2 0 2 4 0 1 | 0 2 0 0 0 2 0 0 2 4 0 2 0 1 2 0 2 | 0 1 2 0 1 2 1 . . . . . o3x | 3 | 0 0 3 | * * * * * 80640 | 0 0 0 0 0 3 0 0 0 3 3 | 0 0 0 0 3 0 0 6 6 0 0 0 0 3 3 3 | 0 0 0 0 1 3 3 0 0 3 3 6 0 0 1 1 3 | 0 0 1 1 3 3 1 -----------------+-------+--------------------+-----------------------------------------+--------------------------------------------------------------------------+---------------------------------------------------------------------------------------------------+-------------------------------------------------------------------------------------------------+------------------------------- x3o3o . . . . ♦ 4 | 6 0 0 | 4 0 0 0 0 0 | 60480 * * * * * * * * * * | 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2 2 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 | 1 2 1 1 0 0 0 x3o . x . . . ♦ 6 | 6 3 0 | 2 3 0 0 0 0 | * 40320 * * * * * * * * * | 3 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 | 3 6 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 | 1 3 3 0 1 0 0 x3o . . . . x ♦ 6 | 6 0 3 | 2 0 3 0 0 0 | * * 120960 * * * * * * * * | 0 0 2 1 2 0 0 0 0 0 0 0 0 0 0 0 | 0 2 0 1 2 2 1 0 0 0 0 0 0 0 0 0 0 | 0 1 2 1 1 0 0 x . o3x . . . ♦ 6 | 3 6 0 | 0 3 0 2 0 0 | * * * 120960 * * * * * * * | 1 0 0 0 0 2 2 0 0 0 0 0 0 0 0 0 | 2 2 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 | 1 2 1 0 0 1 0 x . . x . . x ♦ 8 | 4 4 4 | 0 2 2 0 2 0 | * * * * 181440 * * * * * * | 0 0 0 1 0 0 2 2 0 0 0 0 0 0 0 0 | 0 2 0 0 0 2 0 0 1 2 0 1 0 0 0 0 0 | 0 1 2 0 1 1 0 x . . . . o3x ♦ 6 | 3 0 6 | 0 0 3 0 0 2 | * * * * * 120960 * * * * * | 0 0 0 0 2 0 0 2 2 0 0 0 0 0 0 0 | 0 0 0 0 1 2 2 0 0 1 1 2 0 0 0 0 0 | 0 0 1 1 2 1 0 . o3o3x . . . ♦ 4 | 0 6 0 | 0 0 0 4 0 0 | * * * * * * 60480 * * * * | 1 0 0 0 0 0 0 0 0 2 2 0 0 0 0 0 | 2 2 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 | 1 2 1 0 0 0 1 . . o3x *c3o . . ♦ 4 | 0 6 0 | 0 0 0 4 0 0 | * * * * * * * 120960 * * * | 0 0 0 0 0 1 0 0 0 1 0 1 1 0 0 0 | 1 0 0 0 0 0 0 1 1 0 0 0 1 1 0 0 1 | 1 1 0 0 0 1 1 . . o3x . . x ♦ 6 | 0 6 3 | 0 0 0 2 3 0 | * * * * * * * * 241920 * * | 0 0 0 0 0 0 1 0 0 0 1 0 1 1 0 0 | 0 1 0 0 0 0 0 0 1 1 0 0 0 1 1 0 1 | 0 1 1 0 0 1 1 . . . x . o3x ♦ 6 | 0 3 6 | 0 0 0 0 3 2 | * * * * * * * * * 120960 * | 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 1 | 0 0 0 0 0 1 0 0 0 2 0 2 0 0 1 0 2 | 0 0 1 0 1 2 1 . . . . o3o3x ♦ 4 | 0 0 6 | 0 0 0 0 0 4 | * * * * * * * * * * 60480 | 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 1 | 0 0 0 0 0 0 1 0 0 0 2 2 0 0 0 1 2 | 0 0 0 1 1 2 1 -----------------+-------+--------------------+-----------------------------------------+--------------------------------------------------------------------------+---------------------------------------------------------------------------------------------------+-------------------------------------------------------------------------------------------------+------------------------------- x3o3o3x . . . ♦ 20 | 30 30 0 | 20 30 0 20 0 0 | 5 10 0 10 0 0 5 0 0 0 0 | 12096 * * * * * * * * * * * * * * * | 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 2 1 0 0 0 0 x3o3o . *c3o . . ♦ 5 | 10 0 0 | 10 0 0 0 0 0 | 5 0 0 0 0 0 0 0 0 0 0 | * 24192 * * * * * * * * * * * * * * | 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 1 0 1 0 0 0 x3o3o . . . x ♦ 8 | 12 0 4 | 8 0 6 0 0 0 | 2 0 4 0 0 0 0 0 0 0 0 | * * 60480 * * * * * * * * * * * * * | 0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 | 0 1 1 1 0 0 x3o . x . . x ♦ 12 | 12 6 6 | 4 6 6 0 3 0 | 0 2 2 0 3 0 0 0 0 0 0 | * * * 60480 * * * * * * * * * * * * | 0 2 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 | 0 1 2 0 1 0 0 x3o . . . o3x ♦ 9 | 9 0 9 | 3 0 9 0 0 3 | 0 0 3 0 0 3 0 0 0 0 0 | * * * * 80640 * * * * * * * * * * * | 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 | 0 0 1 1 1 0 0 x . o3x *c3o . . ♦ 8 | 4 12 0 | 0 6 0 8 0 0 | 0 0 0 4 0 0 0 2 0 0 0 | * * * * * 60480 * * * * * * * * * * | 1 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 | 1 1 0 0 0 1 0 x . o3x . . x ♦ 12 | 6 12 6 | 0 6 3 4 6 0 | 0 0 0 2 3 0 0 0 2 0 0 | * * * * * * 120960 * * * * * * * * * | 0 1 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 | 0 1 1 0 0 1 0 x . . x . o3x ♦ 12 | 6 6 12 | 0 3 6 0 6 4 | 0 0 0 0 3 2 0 0 0 2 0 | * * * * * * * 120960 * * * * * * * * | 0 0 0 0 0 1 0 0 0 1 0 1 0 0 0 0 0 | 0 0 1 0 1 1 0 x . . . o3o3x ♦ 8 | 4 0 12 | 0 0 6 0 0 8 | 0 0 0 0 0 4 0 0 0 0 2 | * * * * * * * * 60480 * * * * * * * | 0 0 0 0 0 0 1 0 0 0 1 1 0 0 0 0 0 | 0 0 0 1 1 1 0 . o3o3x *c3o . . ♦ 8 | 0 24 0 | 0 0 0 32 0 0 | 0 0 0 0 0 0 8 8 0 0 0 | * * * * * * * * * 15120 * * * * * * | 1 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 | 1 1 0 0 0 0 1 . o3o3x . . x ♦ 8 | 0 12 4 | 0 0 0 8 6 0 | 0 0 0 0 0 0 2 0 4 0 0 | * * * * * * * * * * 60480 * * * * * | 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 | 0 1 1 0 0 0 1 . . o3x *c3o3o . ♦ 5 | 0 10 0 | 0 0 0 10 0 0 | 0 0 0 0 0 0 0 5 0 0 0 | * * * * * * * * * * * 24192 * * * * | 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 1 | 1 0 0 0 0 1 1 . . o3x *c3o . x ♦ 8 | 0 12 4 | 0 0 0 8 6 0 | 0 0 0 0 0 0 0 2 4 0 0 | * * * * * * * * * * * * 60480 * * * | 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 1 | 0 1 0 0 0 1 1 . . o3x . o3x ♦ 9 | 0 9 9 | 0 0 0 3 9 3 | 0 0 0 0 0 0 0 0 3 3 0 | * * * * * * * * * * * * * 80640 * * | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 1 | 0 0 1 0 0 1 1 . . o . *c3o3o3x ♦ 5 | 0 0 10 | 0 0 0 0 0 10 | 0 0 0 0 0 0 0 0 0 0 5 | * * * * * * * * * * * * * * 24192 * | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 | 0 0 0 1 0 1 1 . . . x o3o3x ♦ 8 | 0 4 12 | 0 0 0 0 6 8 | 0 0 0 0 0 0 0 0 0 4 2 | * * * * * * * * * * * * * * * 30240 | 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 | 0 0 0 0 1 2 1 -----------------+-------+--------------------+-----------------------------------------+--------------------------------------------------------------------------+---------------------------------------------------------------------------------------------------+-------------------------------------------------------------------------------------------------+------------------------------- x3o3o3x *c3o . . ♦ 80 | 160 240 0 | 160 240 0 320 0 0 | 80 80 0 160 0 0 80 80 0 0 0 | 16 16 0 0 0 40 0 0 0 10 0 0 0 0 0 0 | 1512 * * * * * * * * * * * * * * * * | 1 1 0 0 0 0 0 x3o3o3x . . x ♦ 40 | 60 60 20 | 40 60 30 40 30 0 | 10 20 20 20 30 0 10 0 20 0 0 | 2 0 5 10 0 0 10 0 0 0 5 0 0 0 0 0 | * 12096 * * * * * * * * * * * * * * * | 0 1 1 0 0 0 x3o3o . *c3o3o . ♦ 6 | 15 0 0 | 20 0 0 0 0 0 | 15 0 0 0 0 0 0 0 0 0 0 | 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * 4032 * * * * * * * * * * * * * * | 1 0 0 1 0 0 x3o3o . *c3o . x ♦ 10 | 20 0 5 | 20 0 10 0 0 0 | 10 0 10 0 0 0 0 0 0 0 0 | 0 2 5 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * * 12096 * * * * * * * * * * * * * | 0 1 0 1 0 0 x3o3o . . o3x ♦ 12 | 18 0 12 | 12 0 18 0 0 4 | 3 0 12 0 0 6 0 0 0 0 0 | 0 0 3 0 4 0 0 0 0 0 0 0 0 0 0 0 | * * * * 20160 * * * * * * * * * * * * | 0 0 1 1 0 0 0 x3o . x . o3x ♦ 18 | 18 9 18 | 6 9 18 0 9 6 | 0 3 6 0 9 6 0 0 0 3 0 | 0 0 0 3 2 0 0 3 0 0 0 0 0 0 0 0 | * * * * * 40320 * * * * * * * * * * * | 0 0 1 0 1 0 0 x3o . . o3o3x ♦ 12 | 12 0 18 | 4 0 18 0 0 12 | 0 0 6 0 0 12 0 0 0 0 3 | 0 0 0 0 4 0 0 0 3 0 0 0 0 0 0 0 | * * * * * * 20160 * * * * * * * * * * | 0 0 0 1 1 0 0 x . o3x *c3o3o . ♦ 10 | 5 20 0 | 0 10 0 20 0 0 | 0 0 0 10 0 0 0 10 0 0 0 | 0 0 0 0 0 5 0 0 0 0 0 2 0 0 0 0 | * * * * * * * 12096 * * * * * * * * * | 1 0 0 0 0 1 0 x . o3x *c3o . x ♦ 16 | 8 24 8 | 0 12 4 16 12 0 | 0 0 0 8 6 0 0 4 8 0 0 | 0 0 0 0 0 2 4 0 0 0 0 0 2 0 0 0 | * * * * * * * * 30240 * * * * * * * * | 0 1 0 0 0 1 0 x . o3x . o3x ♦ 18 | 9 18 18 | 0 9 9 6 18 6 | 0 0 0 3 9 3 0 0 6 6 0 | 0 0 0 0 0 0 3 3 0 0 0 0 0 2 0 0 | * * * * * * * * * 40320 * * * * * * * | 0 0 1 0 0 1 0 x . o . *c3o3o3x ♦ 10 | 5 0 20 | 0 0 10 0 0 20 | 0 0 0 0 0 10 0 0 0 0 10 | 0 0 0 0 0 0 0 0 5 0 0 0 0 0 2 0 | * * * * * * * * * * 12096 * * * * * * | 0 0 0 1 0 1 0 x . . x o3o3x ♦ 16 | 8 8 24 | 0 4 12 0 12 16 | 0 0 0 0 6 8 0 0 0 8 4 | 0 0 0 0 0 0 0 4 2 0 0 0 0 0 0 2 | * * * * * * * * * * * 30240 * * * * * | 0 0 0 0 1 1 0 . o3o3x *c3o3o . ♦ 16 | 0 80 0 | 0 0 0 160 0 0 | 0 0 0 0 0 0 40 80 0 0 0 | 0 0 0 0 0 0 0 0 0 10 0 16 0 0 0 0 | * * * * * * * * * * * * 1512 * * * * | 1 0 0 0 0 0 1 . o3o3x *c3o . x ♦ 16 | 0 48 8 | 0 0 0 64 24 0 | 0 0 0 0 0 0 16 16 32 0 0 | 0 0 0 0 0 0 0 0 0 2 8 0 8 0 0 0 | * * * * * * * * * * * * * 7560 * * * | 0 1 0 0 0 0 1 . o3o3x . o3x ♦ 12 | 0 18 12 | 0 0 0 12 18 4 | 0 0 0 0 0 0 3 0 12 6 0 | 0 0 0 0 0 0 0 0 0 0 3 0 0 4 0 0 | * * * * * * * * * * * * * * 20160 * * | 0 0 1 0 0 0 1 . o3o . *c3o3o3x ♦ 6 | 0 0 15 | 0 0 0 0 0 20 | 0 0 0 0 0 0 0 0 0 0 15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 0 | * * * * * * * * * * * * * * * 4032 * | 0 0 0 1 0 0 1 . . o3x *c3o3o3x ♦ 30 | 0 60 60 | 0 0 0 60 90 60 | 0 0 0 0 0 0 0 30 60 60 30 | 0 0 0 0 0 0 0 0 0 0 0 6 15 20 6 15 | * * * * * * * * * * * * * * * * 4032 | 0 0 0 0 0 1 1 -----------------+-------+--------------------+-----------------------------------------+--------------------------------------------------------------------------+---------------------------------------------------------------------------------------------------+-------------------------------------------------------------------------------------------------+------------------------------- x3o3o3x *c3o3o . ♦ 432 | 1080 2160 0 | 1440 2160 0 4320 0 0 | 1080 720 0 2160 0 0 1080 2160 0 0 0 | 216 432 0 0 0 1080 0 0 0 270 0 432 0 0 0 0 | 27 0 72 0 0 0 0 216 0 0 0 0 27 0 0 0 0 | 56 * * * * * * x3o3o3x *c3o . x ♦ 160 | 320 480 80 | 320 480 160 640 240 0 | 160 160 160 320 240 0 160 160 320 0 0 | 32 32 80 80 0 80 160 0 0 20 80 0 80 0 0 0 | 2 16 0 16 0 0 0 0 40 0 0 0 0 10 0 0 0 | * 756 * * * * * x3o3o3x . o3x ♦ 60 | 90 90 60 | 60 90 90 60 90 20 | 15 30 60 30 90 30 15 0 60 30 0 | 3 0 15 30 20 0 30 30 0 0 15 0 0 20 0 0 | 0 3 0 0 5 10 0 0 0 10 0 0 0 0 5 0 0 | * * 4032 * * * * x3o3o . *c3o3o3x ♦ 42 | 105 0 105 | 140 0 210 0 0 140 | 105 0 210 0 0 210 0 0 0 0 105 | 0 42 105 0 140 0 0 0 105 0 0 0 0 0 42 0 | 0 0 7 21 35 0 35 0 0 0 21 0 0 0 0 7 0 | * * * 576 * * * x3o . x o3o3x ♦ 24 | 24 12 36 | 8 12 36 0 18 24 | 0 4 12 0 18 24 0 0 0 12 6 | 0 0 0 6 8 0 0 12 6 0 0 0 0 0 0 3 | 0 0 0 0 0 4 2 0 0 0 0 3 0 0 0 0 0 | * * * * 10080 * * x . o3x *c3o3o3x ♦ 60 | 30 120 120 | 0 60 60 120 180 120 | 0 0 0 60 90 60 0 60 120 120 60 | 0 0 0 0 0 30 60 60 30 0 0 12 30 40 12 30 | 0 0 0 0 0 0 0 6 15 20 6 15 0 0 0 0 2 | * * * * * 2016 * . o3o3x *c3o3o3x ♦ 192 | 0 960 480 | 0 0 0 1920 1440 640 | 0 0 0 0 0 0 480 960 1920 960 480 | 0 0 0 0 0 0 0 0 0 120 480 192 480 640 192 240 | 0 0 0 0 0 0 0 0 0 0 0 0 12 60 160 32 32 | * * * * * * 126
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