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- general polytopal classes:
- Wythoffian polytera
links
| Acronym | gircaptint (old: grecaptint) |
| Name | great retrocelliprismatotruncated penteractitriacontaditeron |
| Field of sections |
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| Circumradius | sqrt[35-14 sqrt(2)]/2 = 1.949424 |
| Vertex figure |
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| Colonel of regiment | quicpatint |
| Face vector | 1920, 5760, 5440, 1840, 172 |
| Confer |
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External links |
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As abstract polytope gircaptint is isomorphic to sircaptint, thereby replacing octagrams by octagons, resp. stop by op, quitco by girco, and quith by tic, resp. gaquidpoth by gidpith, quithip by ticcup, and giphado by siphado.
Incidence matrix according to Dynkin symbol
x4/3x3x3x *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 --------------------+------+-------------------+---------------------------------+-----------------------------------+--------------- x4/3x . . . | 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 --------------------+------+-------------------+---------------------------------+-----------------------------------+--------------- x4/3x3x . . ♦ 48 | 24 24 24 0 | 6 12 0 8 0 0 0 0 | 80 * * * * * * * * | 1 1 0 0 0 x4/3x . x . ♦ 16 | 8 8 0 8 | 2 0 4 0 4 0 0 0 | * 240 * * * * * * * | 1 0 1 0 0 x4/3x . . *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 --------------------+------+-------------------+---------------------------------+-----------------------------------+--------------- x4/3x3x3x . ♦ 384 | 192 192 192 192 | 48 96 96 64 96 0 64 0 | 8 24 0 32 0 16 0 0 0 | 10 * * * * x4/3x3x . *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 * * * x4/3x . 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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