Acronym | gektabcadont (old: giktabacadint) |
Name | great skewtrigonary biprismatocellidispenteractitriacontiditeron |
Circumradius | 3/2 = 1.5 |
Colonel of regiment | skatbacadint |
Face vector | 640, 2880, 3920, 1920, 172 |
Confer |
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External links |
As abstract polytope gektabcadont is isomorphic to skatbacadint, thereby replacing octagons by octagrams, resp. socco by gocco and op by stop, resp. steth by gittith, soccope by goccope, and todip by tistodip. – As such gektabcadont is a lieutenant.
Incidence matrix according to Dynkin symbol
x3o3o3x4x4/3*c . . . . . | 640 | 3 3 3 | 3 6 6 3 3 3 | 1 3 3 3 3 6 1 1 3 | 1 1 3 3 1 ---------------+-----+-------------+-------------------------+-----------------------------------+--------------- x . . . . | 2 | 960 * * | 2 2 2 0 0 0 | 1 2 2 1 1 2 0 0 0 | 1 1 2 1 0 . . . x . | 2 | * 960 * | 0 2 0 2 0 1 | 0 1 0 2 0 2 1 0 2 | 1 0 1 2 1 . . . . x | 2 | * * 960 | 0 0 2 0 2 1 | 0 0 1 0 2 2 0 1 2 | 0 1 1 2 1 ---------------+-----+-------------+-------------------------+-----------------------------------+--------------- x3o . . . | 3 | 3 0 0 | 640 * * * * * | 1 1 1 0 0 0 0 0 0 | 1 1 1 0 0 x . . x . | 4 | 2 2 0 | * 960 * * * * | 0 1 0 1 0 1 0 0 0 | 1 0 1 1 0 x . . . x | 4 | 2 0 2 | * * 960 * * * | 0 0 1 0 1 1 0 0 0 | 0 1 1 1 0 . . o3x . | 3 | 0 3 0 | * * * 640 * * | 0 0 0 1 0 0 1 0 1 | 1 0 0 1 1 . . o . x4/3*c | 4 | 0 0 4 | * * * * 480 * | 0 0 0 0 1 0 0 1 1 | 0 1 0 1 1 . . . x4x | 8 | 0 4 4 | * * * * * 240 | 0 0 0 0 0 2 0 0 2 | 0 0 1 2 1 ---------------+-----+-------------+-------------------------+-----------------------------------+--------------- x3o3o . . ♦ 4 | 6 0 0 | 4 0 0 0 0 0 | 160 * * * * * * * * | 1 1 0 0 0 x3o . x . ♦ 6 | 6 3 0 | 2 3 0 0 0 0 | * 320 * * * * * * * | 1 0 1 0 0 x3o . . x ♦ 6 | 6 0 3 | 2 0 3 0 0 0 | * * 320 * * * * * * | 0 1 1 0 0 x . o3x . ♦ 6 | 3 6 0 | 0 3 0 2 0 0 | * * * 320 * * * * * | 1 0 0 1 0 x . o . x4/3*c ♦ 8 | 4 0 8 | 0 0 4 0 2 0 | * * * * 240 * * * * | 0 1 0 1 0 x . . x4x ♦ 16 | 8 8 8 | 0 4 4 0 0 2 | * * * * * 240 * * * | 0 0 1 1 0 . o3o3x . ♦ 4 | 0 6 0 | 0 0 0 4 0 0 | * * * * * * 160 * * | 1 0 0 0 1 . o3o . x4/3*c ♦ 8 | 0 0 12 | 0 0 0 0 6 0 | * * * * * * * 80 * | 0 1 0 0 1 . . o3x4x4/3*c ♦ 24 | 0 24 24 | 0 0 0 8 6 6 | * * * * * * * * 80 | 0 0 0 1 1 ---------------+-----+-------------+-------------------------+-----------------------------------+--------------- x3o3o3x . ♦ 20 | 30 30 0 | 20 30 0 20 0 0 | 5 10 0 10 0 0 5 0 0 | 32 * * * * x3o3o . x4/3*c ♦ 64 | 96 0 96 | 64 0 96 0 48 0 | 16 0 32 0 24 0 0 8 0 | * 10 * * * x3o . x4x ♦ 24 | 24 12 12 | 8 12 12 0 0 3 | 0 4 4 0 0 3 0 0 0 | * * 80 * * x . o3x4x4/3*c ♦ 48 | 24 48 48 | 0 24 24 16 12 12 | 0 0 0 8 6 6 0 0 2 | * * * 40 * . o3o3x4x4/3*c ♦ 64 | 0 96 96 | 0 0 0 64 48 24 | 0 0 0 0 0 0 16 8 8 | * * * * 10
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