- general polytopal classes:
- Wythoffian polytera
links
| Acronym | sorcpit |
| Name | small retrocelliprismated triacontiditeron |
| Circumradius | sqrt[19+10 sqrt(2)]/2 = 2.878460 |
| Coordinates | (1+2 sqrt(2), 1+sqrt(2), 1+sqrt(2), 1+sqrt(2), 1)/2 & all permutations, all changes of sign |
| General of army | capt |
| Colonel of regiment | capt |
| Face vector | 640, 2240, 2320, 920, 132 |
| Confer |
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External links |
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As abstract polyteron sorcpit is isomorphic to gorcpit, thereby replacing octagons by octagrams, resp. girco by quitco and tic by quith, resp. tat by quitit and siphado by giphado.
Incidence matrix according to Dynkin symbol
4 3 3
x---x---o---o
3 \ / 3/2
x
x4x3o3o *b3x3/2*c . . . . . | 640 | 1 3 3 | 3 3 3 3 3 | 3 3 3 1 3 1 | 1 3 1 1 ------------------+-----+-------------+---------------------+-----------------------+------------ x . . . . | 2 | 320 * * | 3 3 0 0 0 | 3 3 3 0 0 0 | 1 3 1 0 . x . . . | 2 | * 960 * | 1 0 2 1 0 | 2 1 0 1 2 0 | 1 2 0 1 . . . . x | 2 | * * 960 | 0 1 0 1 2 | 0 1 2 0 2 1 | 0 2 1 1 ------------------+-----+-------------+---------------------+-----------------------+------------ x4x . . . | 8 | 4 4 0 | 240 * * * * | 2 1 0 0 0 0 | 1 2 0 0 x . . . x | 4 | 2 0 2 | * 480 * * * | 0 1 2 0 0 0 | 0 2 1 0 . x3o . . | 3 | 0 3 0 | * * 640 * * | 1 0 0 1 1 0 | 1 1 0 1 . x . . *b3x | 6 | 0 3 3 | * * * 320 * | 0 1 0 0 2 0 | 0 2 0 1 . . o . x3/2*c | 3 | 0 0 3 | * * * * 640 | 0 0 1 0 1 1 | 0 1 1 1 ------------------+-----+-------------+---------------------+-----------------------+------------ x4x3o . . ♦ 24 | 12 24 0 | 6 0 8 0 0 | 80 * * * * * | 1 1 0 0 x4x . . *b3x ♦ 48 | 24 24 24 | 6 12 0 8 0 | * 40 * * * * | 0 2 0 0 x . o . x3/2*c ♦ 6 | 3 0 6 | 0 3 0 0 2 | * * 320 * * * | 0 1 1 0 . x3o3o . ♦ 4 | 0 6 0 | 0 0 4 0 0 | * * * 160 * * | 1 0 0 1 . x3o . *b3x3/2*c ♦ 12 | 0 12 12 | 0 0 4 4 4 | * * * * 160 * | 0 1 0 1 . . o3o x3/2*c ♦ 4 | 0 0 6 | 0 0 0 0 4 | * * * * * 160 | 0 0 1 1 ------------------+-----+-------------+---------------------+-----------------------+------------ x4x3o3o . ♦ 64 | 32 96 0 | 24 0 64 0 0 | 8 0 0 16 0 0 | 10 * * * x4x3o . *b3x3/2*c ♦ 192 | 96 192 192 | 48 96 64 64 64 | 8 8 32 0 16 0 | * 10 * * x . o3o x3/2*c ♦ 8 | 4 0 12 | 0 6 0 0 8 | 0 0 4 0 0 2 | * * 80 * . x3o3o *b3x3/2*c ♦ 20 | 0 30 30 | 0 0 20 10 20 | 0 0 0 5 5 5 | * * * 32
4 3 3/2
x---x---o---o
3 \ / 3/2
x
x4x3o3/2o *b3x3/2*c . . . . . | 640 | 1 3 3 | 3 3 3 3 3 | 3 3 3 1 3 1 | 1 3 1 1 --------------------+-----+-------------+---------------------+-----------------------+------------ x . . . . | 2 | 320 * * | 3 3 0 0 0 | 3 3 3 0 0 0 | 1 3 1 0 . x . . . | 2 | * 960 * | 1 0 2 1 0 | 2 1 0 1 2 0 | 1 2 0 1 . . . . x | 2 | * * 960 | 0 1 0 1 2 | 0 1 2 0 2 1 | 0 2 1 1 --------------------+-----+-------------+---------------------+-----------------------+------------ x4x . . . | 8 | 4 4 0 | 240 * * * * | 2 1 0 0 0 0 | 1 2 0 0 x . . . x | 4 | 2 0 2 | * 480 * * * | 0 1 2 0 0 0 | 0 2 1 0 . x3o . . | 3 | 0 3 0 | * * 640 * * | 1 0 0 1 1 0 | 1 1 0 1 . x . . *b3x | 6 | 0 3 3 | * * * 320 * | 0 1 0 0 2 0 | 0 2 0 1 . . o . x3/2*c | 3 | 0 0 3 | * * * * 640 | 0 0 1 0 1 1 | 0 1 1 1 --------------------+-----+-------------+---------------------+-----------------------+------------ x4x3o . . ♦ 24 | 12 24 0 | 6 0 8 0 0 | 80 * * * * * | 1 1 0 0 x4x . . *b3x ♦ 48 | 24 24 24 | 6 12 0 8 0 | * 40 * * * * | 0 2 0 0 x . o . x3/2*c ♦ 6 | 3 0 6 | 0 3 0 0 2 | * * 320 * * * | 0 1 1 0 . x3o3/2o . ♦ 4 | 0 6 0 | 0 0 4 0 0 | * * * 160 * * | 1 0 0 1 . x3o . *b3x3/2*c ♦ 12 | 0 12 12 | 0 0 4 4 4 | * * * * 160 * | 0 1 0 1 . . o3/2o x3/2*c ♦ 4 | 0 0 6 | 0 0 0 0 4 | * * * * * 160 | 0 0 1 1 --------------------+-----+-------------+---------------------+-----------------------+------------ x4x3o3/2o . ♦ 64 | 32 96 0 | 24 0 64 0 0 | 8 0 0 16 0 0 | 10 * * * x4x3o . *b3x3/2*c ♦ 192 | 96 192 192 | 48 96 64 64 64 | 8 8 32 0 16 0 | * 10 * * x . o3/2o x3/2*c ♦ 8 | 4 0 12 | 0 6 0 0 8 | 0 0 4 0 0 2 | * * 80 * . x3o3/2o *b3x3/2*c ♦ 20 | 0 30 30 | 0 0 20 10 20 | 0 0 0 5 5 5 | * * * 32
4 3/2 3
x---x---o---o
3 \ / 3
x
x4x3/2o3o *b3x3*c . . . . . | 640 | 1 3 3 | 3 3 3 3 3 | 3 3 3 1 3 1 | 1 3 1 1 ------------------+-----+-------------+---------------------+-----------------------+------------ x . . . . | 2 | 320 * * | 3 3 0 0 0 | 3 3 3 0 0 0 | 1 3 1 0 . x . . . | 2 | * 960 * | 1 0 2 1 0 | 2 1 0 1 2 0 | 1 2 0 1 . . . . x | 2 | * * 960 | 0 1 0 1 2 | 0 1 2 0 2 1 | 0 2 1 1 ------------------+-----+-------------+---------------------+-----------------------+------------ x4x . . . | 8 | 4 4 0 | 240 * * * * | 2 1 0 0 0 0 | 1 2 0 0 x . . . x | 4 | 2 0 2 | * 480 * * * | 0 1 2 0 0 0 | 0 2 1 0 . x3/2o . . | 3 | 0 3 0 | * * 640 * * | 1 0 0 1 1 0 | 1 1 0 1 . x . . *b3x | 6 | 0 3 3 | * * * 320 * | 0 1 0 0 2 0 | 0 2 0 1 . . o . x3*c | 3 | 0 0 3 | * * * * 640 | 0 0 1 0 1 1 | 0 1 1 1 ------------------+-----+-------------+---------------------+-----------------------+------------ x4x3/2o . . ♦ 24 | 12 24 0 | 6 0 8 0 0 | 80 * * * * * | 1 1 0 0 x4x . . *b3x ♦ 48 | 24 24 24 | 6 12 0 8 0 | * 40 * * * * | 0 2 0 0 x . o . x3*c ♦ 6 | 3 0 6 | 0 3 0 0 2 | * * 320 * * * | 0 1 1 0 . x3/2o3o . ♦ 4 | 0 6 0 | 0 0 4 0 0 | * * * 160 * * | 1 0 0 1 . x3/2o . *b3x3*c ♦ 12 | 0 12 12 | 0 0 4 4 4 | * * * * 160 * | 0 1 0 1 . . o3o x3*c ♦ 4 | 0 0 6 | 0 0 0 0 4 | * * * * * 160 | 0 0 1 1 ------------------+-----+-------------+---------------------+-----------------------+------------ x4x3/2o3o . ♦ 64 | 32 96 0 | 24 0 64 0 0 | 8 0 0 16 0 0 | 10 * * * x4x3/2o . *b3x3*c ♦ 192 | 96 192 192 | 48 96 64 64 64 | 8 8 32 0 16 0 | * 10 * * x . o3o x3*c ♦ 8 | 4 0 12 | 0 6 0 0 8 | 0 0 4 0 0 2 | * * 80 * . x3/2o3o *b3x3*c ♦ 20 | 0 30 30 | 0 0 20 10 20 | 0 0 0 5 5 5 | * * * 32
4 3/2 3/2
x---x---o---o
3 \ / 3
x
x4x3/2o3/2o *b3x3*c . . . . . | 640 | 1 3 3 | 3 3 3 3 3 | 3 3 3 1 3 1 | 1 3 1 1 --------------------+-----+-------------+---------------------+-----------------------+------------ x . . . . | 2 | 320 * * | 3 3 0 0 0 | 3 3 3 0 0 0 | 1 3 1 0 . x . . . | 2 | * 960 * | 1 0 2 1 0 | 2 1 0 1 2 0 | 1 2 0 1 . . . . x | 2 | * * 960 | 0 1 0 1 2 | 0 1 2 0 2 1 | 0 2 1 1 --------------------+-----+-------------+---------------------+-----------------------+------------ x4x . . . | 8 | 4 4 0 | 240 * * * * | 2 1 0 0 0 0 | 1 2 0 0 x . . . x | 4 | 2 0 2 | * 480 * * * | 0 1 2 0 0 0 | 0 2 1 0 . x3/2o . . | 3 | 0 3 0 | * * 640 * * | 1 0 0 1 1 0 | 1 1 0 1 . x . . *b3x | 6 | 0 3 3 | * * * 320 * | 0 1 0 0 2 0 | 0 2 0 1 . . o . x3*c | 3 | 0 0 3 | * * * * 640 | 0 0 1 0 1 1 | 0 1 1 1 --------------------+-----+-------------+---------------------+-----------------------+------------ x4x3/2o . . ♦ 24 | 12 24 0 | 6 0 8 0 0 | 80 * * * * * | 1 1 0 0 x4x . . *b3x ♦ 48 | 24 24 24 | 6 12 0 8 0 | * 40 * * * * | 0 2 0 0 x . o . x3*c ♦ 6 | 3 0 6 | 0 3 0 0 2 | * * 320 * * * | 0 1 1 0 . x3/2o3/2o . ♦ 4 | 0 6 0 | 0 0 4 0 0 | * * * 160 * * | 1 0 0 1 . x3/2o . *b3x3*c ♦ 12 | 0 12 12 | 0 0 4 4 4 | * * * * 160 * | 0 1 0 1 . . o3/2o x3*c ♦ 4 | 0 0 6 | 0 0 0 0 4 | * * * * * 160 | 0 0 1 1 --------------------+-----+-------------+---------------------+-----------------------+------------ x4x3/2o3/2o . ♦ 64 | 32 96 0 | 24 0 64 0 0 | 8 0 0 16 0 0 | 10 * * * x4x3/2o . *b3x3*c ♦ 192 | 96 192 192 | 48 96 64 64 64 | 8 8 32 0 16 0 | * 10 * * x . o3/2o x3*c ♦ 8 | 4 0 12 | 0 6 0 0 8 | 0 0 4 0 0 2 | * * 80 * . x3/2o3/2o *b3x3*c ♦ 20 | 0 30 30 | 0 0 20 10 20 | 0 0 0 5 5 5 | * * * 32
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