- general polytopal classes:
- Wythoffian polytera
links
| Acronym | ripthin |
| Name | retroprismatotruncatodemipenteract |
| Circumradius | sqrt(45/8) = 2.371708 |
| Coordinates | (5, 3, 3, 1, 1)/sqrt(8) & all permutations, all even changes of sign |
| Colonel of regiment | pithin |
| Face vector | 480, 1680, 1680, 560, 52 |
| Confer |
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| External links | |
Incidence matrix according toDynkin symbol
x o 3 \ / 3 x 3 / \ 3 x---o 3/2
x3x3x3/2o3*b3o. . . . . | 480 | 1 4 2 | 4 2 4 2 2 1 | 4 2 2 1 2 2 1 | 2 2 1 1---------------+-----+-------------+-------------------------+----------------------+------------x . . . . | 2 | 240 * * | 4 2 0 0 0 0 | 4 2 2 1 0 0 0 | 2 2 1 0. x . . . | 2 | * 960 * | 1 0 1 1 1 0 | 1 1 1 0 1 1 1 | 1 1 1 1. . x . . | 2 | * * 480 | 0 1 2 0 0 1 | 2 0 0 1 2 1 0 | 2 1 0 1---------------+-----+-------------+-------------------------+----------------------+------------x3x . . . | 6 | 3 3 0 | 320 * * * * * | 1 1 1 0 0 0 0 | 1 1 1 0x . x . . | 4 | 2 0 2 | * 240 * * * * | 2 0 0 1 0 0 0 | 2 1 0 0. x3x . . | 6 | 0 3 3 | * * 320 * * * | 1 0 0 0 1 1 0 | 1 1 0 1. x . o3*b . | 3 | 0 3 0 | * * * 320 * * | 0 1 0 0 1 0 1 | 1 0 1 1. x . . *b3o | 3 | 0 3 0 | * * * * 320 * | 0 0 1 0 0 1 1 | 0 1 1 1. . x3/2o . | 3 | 0 0 3 | * * * * * 160 | 0 0 0 1 2 0 0 | 2 0 0 1---------------+-----+-------------+-------------------------+----------------------+------------x3x3x . .♦ 24 | 12 12 12 | 4 6 4 0 0 0 | 80 * * * * * * | 1 1 0 0x3x . o3*b .♦ 12 | 6 12 0 | 4 0 0 4 0 0 | * 80 * * * * * | 1 0 1 0x3x . . *b3o♦ 12 | 6 12 0 | 4 0 0 0 4 0 | * * 80 * * * * | 0 1 1 0x . x3/2o .♦ 6 | 3 0 6 | 0 3 0 0 0 2 | * * * 80 * * * | 2 0 0 0. x3x3/2o3*b .♦ 12 | 0 12 12 | 0 0 4 4 0 4 | * * * * 80 * * | 1 0 0 1. x3x . *b3o♦ 12 | 0 12 6 | 0 0 4 0 4 0 | * * * * * 80 * | 0 1 0 1. x . o3*b3o♦ 6 | 0 12 0 | 0 0 0 4 4 0 | * * * * * * 80 | 0 0 1 1---------------+-----+-------------+-------------------------+----------------------+------------x3x3x3/2o3*b .♦ 60 | 30 60 60 | 20 30 20 20 0 20 | 5 5 0 10 5 0 0 | 16 * * *x3x3x . *b3o♦ 96 | 48 96 48 | 32 24 32 0 32 0 | 8 0 8 0 0 8 0 | * 10 * *x3x . o3*b3o♦ 48 | 24 96 0 | 32 0 0 32 32 0 | 0 8 8 0 0 0 8 | * * 10 *. x3x3/2o3*b3o♦ 30 | 0 60 30 | 0 0 20 20 20 10 | 0 0 0 0 5 5 5 | * * * 16
x o 3 \ / 3 x 3 / \ 3/2 x---o 3
x3x3x3o3/2*b3o. . . . . | 480 | 1 4 2 | 4 2 4 2 2 1 | 4 2 2 1 2 2 1 | 2 2 1 1---------------+-----+-------------+-------------------------+----------------------+------------x . . . . | 2 | 240 * * | 4 2 0 0 0 0 | 4 2 2 1 0 0 0 | 2 2 1 0. x . . . | 2 | * 960 * | 1 0 1 1 1 0 | 1 1 1 0 1 1 1 | 1 1 1 1. . x . . | 2 | * * 480 | 0 1 2 0 0 1 | 2 0 0 1 2 1 0 | 2 1 0 1---------------+-----+-------------+-------------------------+----------------------+------------x3x . . . | 6 | 3 3 0 | 320 * * * * * | 1 1 1 0 0 0 0 | 1 1 1 0x . x . . | 4 | 2 0 2 | * 240 * * * * | 2 0 0 1 0 0 0 | 2 1 0 0. x3x . . | 6 | 0 3 3 | * * 320 * * * | 1 0 0 0 1 1 0 | 1 1 0 1. x . o3/2*b . | 3 | 0 3 0 | * * * 320 * * | 0 1 0 0 1 0 1 | 1 0 1 1. x . . *b3o | 3 | 0 3 0 | * * * * 320 * | 0 0 1 0 0 1 1 | 0 1 1 1. . x3o . | 3 | 0 0 3 | * * * * * 160 | 0 0 0 1 2 0 0 | 2 0 0 1---------------+-----+-------------+-------------------------+----------------------+------------x3x3x . .♦ 24 | 12 12 12 | 4 6 4 0 0 0 | 80 * * * * * * | 1 1 0 0x3x . o3/2*b .♦ 12 | 6 12 0 | 4 0 0 4 0 0 | * 80 * * * * * | 1 0 1 0x3x . . *b3o♦ 12 | 6 12 0 | 4 0 0 0 4 0 | * * 80 * * * * | 0 1 1 0x . x3o .♦ 6 | 3 0 6 | 0 3 0 0 0 2 | * * * 80 * * * | 2 0 0 0. x3x3o3/2*b .♦ 12 | 0 12 12 | 0 0 4 4 0 4 | * * * * 80 * * | 1 0 0 1. x3x . *b3o♦ 12 | 0 12 6 | 0 0 4 0 4 0 | * * * * * 80 * | 0 1 0 1. x . o3/2*b3o♦ 6 | 0 12 0 | 0 0 0 4 4 0 | * * * * * * 80 | 0 0 1 1---------------+-----+-------------+-------------------------+----------------------+------------x3x3x3o3/2*b .♦ 60 | 30 60 60 | 20 30 20 20 0 20 | 5 5 0 10 5 0 0 | 16 * * *x3x3x . *b3o♦ 96 | 48 96 48 | 32 24 32 0 32 0 | 8 0 8 0 0 8 0 | * 10 * *x3x . o3/2*b3o♦ 48 | 24 96 0 | 32 0 0 32 32 0 | 0 8 8 0 0 0 8 | * * 10 *. x3x3o3/2*b3o♦ 30 | 0 60 30 | 0 0 20 20 20 10 | 0 0 0 0 5 5 5 | * * * 16
x o 3 \ / 3/2 x 3 / \ 3 x---o 3/2
x3x3x3/2o3*b3/2o. . . . . | 480 | 1 4 2 | 4 2 4 2 2 1 | 4 2 2 1 2 2 1 | 2 2 1 1-----------------+-----+-------------+-------------------------+----------------------+------------x . . . . | 2 | 240 * * | 4 2 0 0 0 0 | 4 2 2 1 0 0 0 | 2 2 1 0. x . . . | 2 | * 960 * | 1 0 1 1 1 0 | 1 1 1 0 1 1 1 | 1 1 1 1. . x . . | 2 | * * 480 | 0 1 2 0 0 1 | 2 0 0 1 2 1 0 | 2 1 0 1-----------------+-----+-------------+-------------------------+----------------------+------------x3x . . . | 6 | 3 3 0 | 320 * * * * * | 1 1 1 0 0 0 0 | 1 1 1 0x . x . . | 4 | 2 0 2 | * 240 * * * * | 2 0 0 1 0 0 0 | 2 1 0 0. x3x . . | 6 | 0 3 3 | * * 320 * * * | 1 0 0 0 1 1 0 | 1 1 0 1. x . o3*b . | 3 | 0 3 0 | * * * 320 * * | 0 1 0 0 1 0 1 | 1 0 1 1. x . . *b3/2o | 3 | 0 3 0 | * * * * 320 * | 0 0 1 0 0 1 1 | 0 1 1 1. . x3/2o . | 3 | 0 0 3 | * * * * * 160 | 0 0 0 1 2 0 0 | 2 0 0 1-----------------+-----+-------------+-------------------------+----------------------+------------x3x3x . .♦ 24 | 12 12 12 | 4 6 4 0 0 0 | 80 * * * * * * | 1 1 0 0x3x . o3*b .♦ 12 | 6 12 0 | 4 0 0 4 0 0 | * 80 * * * * * | 1 0 1 0x3x . . *b3/2o♦ 12 | 6 12 0 | 4 0 0 0 4 0 | * * 80 * * * * | 0 1 1 0x . x3/2o .♦ 6 | 3 0 6 | 0 3 0 0 0 2 | * * * 80 * * * | 2 0 0 0. x3x3/2o3*b .♦ 12 | 0 12 12 | 0 0 4 4 0 4 | * * * * 80 * * | 1 0 0 1. x3x . *b3/2o♦ 12 | 0 12 6 | 0 0 4 0 4 0 | * * * * * 80 * | 0 1 0 1. x . o3*b3/2o♦ 6 | 0 12 0 | 0 0 0 4 4 0 | * * * * * * 80 | 0 0 1 1-----------------+-----+-------------+-------------------------+----------------------+------------x3x3x3/2o3*b .♦ 60 | 30 60 60 | 20 30 20 20 0 20 | 5 5 0 10 5 0 0 | 16 * * *x3x3x . *b3/2o♦ 96 | 48 96 48 | 32 24 32 0 32 0 | 8 0 8 0 0 8 0 | * 10 * *x3x . o3*b3/2o♦ 48 | 24 96 0 | 32 0 0 32 32 0 | 0 8 8 0 0 0 8 | * * 10 *. x3x3/2o3*b3/2o♦ 30 | 0 60 30 | 0 0 20 20 20 10 | 0 0 0 0 5 5 5 | * * * 16
x o 3 \ / 3/2 x 3 / \ 3/2 x---o 3
x3x3x3o3/2*b3/2o. . . . . | 480 | 1 4 2 | 4 2 4 2 2 1 | 4 2 2 1 2 2 1 | 2 2 1 1-----------------+-----+-------------+-------------------------+----------------------+------------x . . . . | 2 | 240 * * | 4 2 0 0 0 0 | 4 2 2 1 0 0 0 | 2 2 1 0. x . . . | 2 | * 960 * | 1 0 1 1 1 0 | 1 1 1 0 1 1 1 | 1 1 1 1. . x . . | 2 | * * 480 | 0 1 2 0 0 1 | 2 0 0 1 2 1 0 | 2 1 0 1-----------------+-----+-------------+-------------------------+----------------------+------------x3x . . . | 6 | 3 3 0 | 320 * * * * * | 1 1 1 0 0 0 0 | 1 1 1 0x . x . . | 4 | 2 0 2 | * 240 * * * * | 2 0 0 1 0 0 0 | 2 1 0 0. x3x . . | 6 | 0 3 3 | * * 320 * * * | 1 0 0 0 1 1 0 | 1 1 0 1. x . o3/2*b . | 3 | 0 3 0 | * * * 320 * * | 0 1 0 0 1 0 1 | 1 0 1 1. x . . *b3/2o | 3 | 0 3 0 | * * * * 320 * | 0 0 1 0 0 1 1 | 0 1 1 1. . x3o . | 3 | 0 0 3 | * * * * * 160 | 0 0 0 1 2 0 0 | 2 0 0 1-----------------+-----+-------------+-------------------------+----------------------+------------x3x3x . .♦ 24 | 12 12 12 | 4 6 4 0 0 0 | 80 * * * * * * | 1 1 0 0x3x . o3/2*b .♦ 12 | 6 12 0 | 4 0 0 4 0 0 | * 80 * * * * * | 1 0 1 0x3x . . *b3/2o♦ 12 | 6 12 0 | 4 0 0 0 4 0 | * * 80 * * * * | 0 1 1 0x . x3o .♦ 6 | 3 0 6 | 0 3 0 0 0 2 | * * * 80 * * * | 2 0 0 0. x3x3o3/2*b .♦ 12 | 0 12 12 | 0 0 4 4 0 4 | * * * * 80 * * | 1 0 0 1. x3x . *b3/2o♦ 12 | 0 12 6 | 0 0 4 0 4 0 | * * * * * 80 * | 0 1 0 1. x . o3/2*b3/2o♦ 6 | 0 12 0 | 0 0 0 4 4 0 | * * * * * * 80 | 0 0 1 1-----------------+-----+-------------+-------------------------+----------------------+------------x3x3x3o3/2*b .♦ 60 | 30 60 60 | 20 30 20 20 0 20 | 5 5 0 10 5 0 0 | 16 * * *x3x3x . *b3/2o♦ 96 | 48 96 48 | 32 24 32 0 32 0 | 8 0 8 0 0 8 0 | * 10 * *x3x . o3/2*b3/2o♦ 48 | 24 96 0 | 32 0 0 32 32 0 | 0 8 8 0 0 0 8 | * * 10 *. x3x3o3/2*b3/2o♦ 30 | 0 60 30 | 0 0 20 20 20 10 | 0 0 0 0 5 5 5 | * * * 16
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