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- general polytopal classes:
- Wythoffian polytera
links
| Acronym | sibcotdin |
| Name | small biprismatocellitriacontadiadispenteract |
| Field of sections |
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| Circumradius | sqrt[33+12 sqrt(2)]/2 = 3.534493 |
| Vertex figure |
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| Coordinates | ((1+3 sqrt(2))/2, (1+2 sqrt(2))/2, (1+sqrt(2))/2, 1/2, 1/2) & all permutations, all changes of sign |
| General of army | cogart |
| Colonel of regiment | cogart |
| Face vector | 1920, 5760, 5440, 1840, 172 |
| Confer |
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External links |
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As abstract polytope sibcotdin is isomorphic to gibcotdin, thereby replacing octagons by octagrams, resp. op by stop, girco by quitco, and socco by gocco, resp. gidpith by gaquidpoth, soccope by goccope, and sichado by gichado.
Incidence matrix according to Dynkin symbol
x3x3x3o4/3x4*c . . . . . | 1920 | 1 1 2 2 | 1 2 2 2 2 1 2 1 | 2 2 1 2 1 1 2 1 1 | 1 2 1 1 1 ---------------+------+-------------------+---------------------------------+-----------------------------------+--------------- x . . . . | 2 | 960 * * * | 1 2 2 0 0 0 0 0 | 2 2 1 2 1 0 0 0 0 | 1 2 1 1 0 . x . . . | 2 | * 960 * * | 1 0 0 2 2 0 0 0 | 2 2 0 0 0 1 2 1 0 | 1 2 1 0 1 . . x . . | 2 | * * 1920 * | 0 1 0 1 0 1 1 0 | 1 0 1 1 0 1 1 0 1 | 1 1 0 1 1 . . . . x | 2 | * * * 1920 | 0 0 1 0 1 0 1 1 | 0 1 0 1 1 0 1 1 1 | 0 1 1 1 1 ---------------+------+-------------------+---------------------------------+-----------------------------------+--------------- x3x . . . | 6 | 3 3 0 0 | 320 * * * * * * * | 2 2 0 0 0 0 0 0 0 | 1 2 1 0 0 x . x . . | 4 | 2 0 2 0 | * 960 * * * * * * | 1 0 1 1 0 0 0 0 0 | 1 1 0 1 0 x . . . x | 4 | 2 0 0 2 | * * 960 * * * * * | 0 1 0 1 1 0 0 0 0 | 0 1 1 1 0 . x3x . . | 6 | 0 3 3 0 | * * * 640 * * * * | 1 0 0 0 0 1 1 0 0 | 1 1 0 0 1 . x . . x | 4 | 0 2 0 2 | * * * * 960 * * * | 0 1 0 0 0 0 1 1 0 | 0 1 1 0 1 . . x3o . | 3 | 0 0 3 0 | * * * * * 640 * * | 0 0 1 0 0 1 0 0 1 | 1 0 0 1 1 . . x . x4*c | 8 | 0 0 4 4 | * * * * * * 480 * | 0 0 0 1 0 0 1 0 1 | 0 1 0 1 1 . . . o4/3x | 4 | 0 0 0 4 | * * * * * * * 480 | 0 0 0 0 1 0 0 1 1 | 0 0 1 1 1 ---------------+------+-------------------+---------------------------------+-----------------------------------+--------------- x3x3x . . ♦ 24 | 12 12 12 0 | 4 6 0 4 0 0 0 0 | 160 * * * * * * * * | 1 1 0 0 0 x3x . . x ♦ 12 | 6 6 0 6 | 2 0 3 0 3 0 0 0 | * 320 * * * * * * * | 0 1 1 0 0 x . x3o . ♦ 6 | 3 0 6 0 | 0 3 0 0 0 2 0 0 | * * 320 * * * * * * | 1 0 0 1 0 x . x . x4*c ♦ 16 | 8 0 8 8 | 0 4 4 0 0 0 2 0 | * * * 240 * * * * * | 0 1 0 1 0 x . . o4/3x ♦ 8 | 4 0 0 8 | 0 0 4 0 0 0 0 2 | * * * * 240 * * * * | 0 0 1 1 0 . x3x3o . ♦ 12 | 0 6 12 0 | 0 0 0 4 0 4 0 0 | * * * * * 160 * * * | 1 0 0 0 1 . x3x . x4*c ♦ 48 | 0 24 24 24 | 0 0 0 8 12 0 6 0 | * * * * * * 80 * * | 0 1 0 0 1 . x . o4/3x ♦ 8 | 0 4 0 8 | 0 0 0 0 4 0 0 2 | * * * * * * * 240 * | 0 0 1 0 1 . . x3o4/3x4*c ♦ 24 | 0 0 24 24 | 0 0 0 0 0 8 6 6 | * * * * * * * * 80 | 0 0 0 1 1 ---------------+------+-------------------+---------------------------------+-----------------------------------+--------------- x3x3x3o . ♦ 60 | 30 30 60 0 | 10 30 0 20 0 20 0 0 | 5 0 10 0 0 5 0 0 0 | 32 * * * * x3x3x . x4*c ♦ 384 | 192 192 192 192 | 64 96 96 64 96 0 48 0 | 16 32 0 24 0 0 8 0 0 | * 10 * * * x3x . o4/3x ♦ 24 | 12 12 0 24 | 4 0 12 0 12 0 0 6 | 0 4 0 0 3 0 0 3 0 | * * 80 * * x . x3o4/3x4*c ♦ 48 | 24 0 48 48 | 0 24 24 0 0 16 12 12 | 0 0 8 6 6 0 0 0 2 | * * * 40 * . x3x3o4/3x4*c ♦ 192 | 0 96 192 192 | 0 0 0 64 96 64 48 48 | 0 0 0 0 0 16 8 24 8 | * * * * 10
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