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- general polytopal classes:
- Wythoffian polytera
links
| Acronym | sircaptint (old: srecaptint) |
| Name | small retrocelliprismatotruncated penteractitriacontaditeron |
| Field of sections |
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| Circumradius | sqrt[35+14 sqrt(2)]/2 = 3.701317 |
| Vertex figure |
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| Colonel of regiment | captint |
| Face vector | 1920, 5760, 5440, 1840, 172 |
| Confer |
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External links |
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As abstract polytope sircaptint is isomorphic to gircaptint, thereby replacing octagons by octagrams, resp. op by stop, girco by quitco, and tic by quith, resp. gidpith by gaquidpoth, ticcup by quithip, and siphado by giphado.
Incidence matrix according to Dynkin symbol
x4x3x3x *b3o3/2*c . . . . . | 1920 | 1 2 2 1 | 2 2 1 2 2 1 2 1 | 2 2 1 2 1 2 1 1 1 | 2 1 1 1 1 ------------------+------+-------------------+---------------------------------+-----------------------------------+--------------- x . . . . | 2 | 960 * * * | 2 2 1 0 0 0 0 0 | 2 2 1 2 1 0 0 0 0 | 2 1 1 1 0 . x . . . | 2 | * 1920 * * | 1 0 0 1 1 1 0 0 | 1 1 1 0 0 1 1 1 0 | 1 1 1 0 1 . . x . . | 2 | * * 1920 * | 0 1 0 1 0 0 1 1 | 1 0 0 1 1 1 1 0 1 | 1 1 0 1 1 . . . x . | 2 | * * * 960 | 0 0 1 0 2 0 2 0 | 0 2 0 2 0 2 0 1 1 | 2 0 1 1 1 ------------------+------+-------------------+---------------------------------+-----------------------------------+--------------- x4x . . . | 8 | 4 4 0 0 | 480 * * * * * * * | 1 1 1 0 0 0 0 0 0 | 1 1 1 0 0 x . x . . | 4 | 2 0 2 0 | * 960 * * * * * * | 1 0 0 1 1 0 0 0 0 | 1 1 0 1 0 x . . x . | 4 | 2 0 0 2 | * * 480 * * * * * | 0 2 0 2 0 0 0 0 0 | 2 0 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 1 0 1 0 | 1 0 1 0 1 . x . . *b3o | 3 | 0 3 0 0 | * * * * * 640 * * | 0 0 1 0 0 0 1 1 0 | 0 1 1 0 1 . . x3x . | 6 | 0 0 3 3 | * * * * * * 640 * | 0 0 0 1 0 1 0 0 1 | 1 0 0 1 1 . . x . o3/2*c | 3 | 0 0 3 0 | * * * * * * * 640 | 0 0 0 0 1 0 1 0 1 | 0 1 0 1 1 ------------------+------+-------------------+---------------------------------+-----------------------------------+--------------- x4x3x . . ♦ 48 | 24 24 24 0 | 6 12 0 8 0 0 0 0 | 80 * * * * * * * * | 1 1 0 0 0 x4x . x . ♦ 16 | 8 8 0 8 | 2 0 4 0 4 0 0 0 | * 240 * * * * * * * | 1 0 1 0 0 x4x . . *b3o ♦ 24 | 12 24 0 0 | 6 0 0 0 0 8 0 0 | * * 80 * * * * * * | 0 1 1 0 0 x . x3x . ♦ 12 | 6 0 6 6 | 0 3 3 0 0 0 2 0 | * * * 320 * * * * * | 1 0 0 1 0 x . x . o3/2*c ♦ 6 | 3 0 6 0 | 0 3 0 0 0 0 0 2 | * * * * 320 * * * * | 0 1 0 1 0 . x3x3x . ♦ 24 | 0 12 12 12 | 0 0 0 4 6 0 4 0 | * * * * * 160 * * * | 1 0 0 0 1 . x3x . *b3o3/2*c ♦ 12 | 0 12 12 0 | 0 0 0 4 0 4 0 4 | * * * * * * 160 * * | 0 1 0 0 1 . x . x *b3o ♦ 6 | 0 6 0 3 | 0 0 0 0 3 2 0 0 | * * * * * * * 320 * | 0 0 1 0 1 . . x3x o3/2*c ♦ 12 | 0 0 12 6 | 0 0 0 0 0 0 4 4 | * * * * * * * * 160 | 0 0 0 1 1 ------------------+------+-------------------+---------------------------------+-----------------------------------+--------------- x4x3x3x . ♦ 384 | 192 192 192 192 | 48 96 96 64 96 0 64 0 | 8 24 0 32 0 16 0 0 0 | 10 * * * * x4x3x . *b3o3/2*c ♦ 192 | 96 192 192 0 | 48 96 0 64 0 64 0 64 | 8 0 8 0 32 0 16 0 0 | * 10 * * * x4x . x *b3o ♦ 48 | 24 48 0 24 | 12 0 12 0 24 16 0 0 | 0 6 2 0 0 0 0 8 0 | * * 40 * * x . x3x o3/2*c ♦ 24 | 12 0 24 12 | 0 12 6 0 0 0 8 8 | 0 0 0 4 4 0 0 0 2 | * * * 80 * . x3x3x *b3o3/2*c ♦ 60 | 0 60 60 30 | 0 0 0 20 30 20 20 20 | 0 0 0 0 0 5 5 10 5 | * * * * 32
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