- general polytopal classes:
- Wythoffian polytera
links
| Acronym | ropith (old: kroptit) |
| Name | retroprismatotruncated hexadecateron |
| Circumradius | sqrt(15/2) = 2.738613 |
| Coordinates | (3, 2, 1, 1, 0)/sqrt(2) & all permutations, all changes of sign |
| Colonel of regiment | pattit |
| Face vector | 960, 3360, 3360, 1120, 98 |
| Confer |
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External links |
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Incidence matrix according to Dynkin symbol
x
3 \ 3
x---o
3 \ / \ 3
x---x
3/2 3
x3x3x3x3o3*b *c3/2*e . . . . . | 960 | 1 2 2 2 | 2 2 2 2 2 1 2 1 1 | 2 2 1 2 1 1 2 1 1 1 | 2 1 1 1 1 ---------------------+-----+-----------------+-------------------------------------+-----------------------------------+--------------- x . . . . | 2 | 480 * * * | 2 2 2 0 0 0 0 0 0 | 2 2 1 2 1 1 0 0 0 0 | 2 1 1 1 0 . x . . . | 2 | * 960 * * | 1 0 0 1 1 1 0 0 0 | 1 1 1 0 0 0 1 1 1 0 | 1 1 1 0 1 . . x . . | 2 | * * 960 * | 0 1 0 1 0 0 1 1 0 | 1 0 0 1 1 0 1 1 0 1 | 1 1 0 1 1 . . . x . | 2 | * * * 960 | 0 0 1 0 1 0 1 0 1 | 0 1 0 1 0 1 1 0 1 1 | 1 0 1 1 1 ---------------------+-----+-----------------+-------------------------------------+-----------------------------------+--------------- x3x . . . | 6 | 3 3 0 0 | 320 * * * * * * * * | 1 1 1 0 0 0 0 0 0 0 | 1 1 1 0 0 x . x . . | 4 | 2 0 2 0 | * 480 * * * * * * * | 1 0 0 1 1 0 0 0 0 0 | 1 1 0 1 0 x . . x . | 4 | 2 0 0 2 | * * 480 * * * * * * | 0 1 0 1 0 1 0 0 0 0 | 1 0 1 1 0 . x3x . . | 6 | 0 3 3 0 | * * * 320 * * * * * | 1 0 0 0 0 0 1 1 0 0 | 1 1 0 0 1 . x . x . | 4 | 0 2 0 2 | * * * * 480 * * * * | 0 1 0 0 0 0 1 0 1 0 | 1 0 1 0 1 . x . . o3*b | 3 | 0 3 0 0 | * * * * * 320 * * * | 0 0 1 0 0 0 0 1 1 0 | 0 1 1 0 1 . . x3x . | 6 | 0 0 3 3 | * * * * * * 320 * * | 0 0 0 1 0 0 1 0 0 1 | 1 0 0 1 1 . . x . o *c3/2*e | 3 | 0 0 3 0 | * * * * * * * 320 * | 0 0 0 0 1 0 0 1 0 1 | 0 1 0 1 1 . . . x3o | 3 | 0 0 0 3 | * * * * * * * * 320 | 0 0 0 0 0 1 0 0 1 1 | 0 0 1 1 1 ---------------------+-----+-----------------+-------------------------------------+-----------------------------------+--------------- x3x3x . . ♦ 24 | 12 12 12 0 | 4 6 0 4 0 0 0 0 0 | 80 * * * * * * * * * | 1 1 0 0 0 x3x . x . ♦ 12 | 6 6 0 6 | 2 0 3 0 3 0 0 0 0 | * 160 * * * * * * * * | 1 0 1 0 0 x3x . . o3*b ♦ 12 | 6 12 0 0 | 4 0 0 0 0 4 0 0 0 | * * 80 * * * * * * * | 0 1 1 0 0 x . x3x . ♦ 12 | 6 0 6 6 | 0 3 3 0 0 0 2 0 0 | * * * 160 * * * * * * | 1 0 0 1 0 x . x . o *c3/2*e ♦ 6 | 3 0 6 0 | 0 3 0 0 0 0 0 2 0 | * * * * 160 * * * * * | 0 1 0 1 0 x . . x3o ♦ 6 | 3 0 0 6 | 0 0 3 0 0 0 0 0 2 | * * * * * 160 * * * * | 0 0 1 1 0 . x3x3x . ♦ 24 | 0 12 12 12 | 0 0 0 4 6 0 4 0 0 | * * * * * * 80 * * * | 1 0 0 0 1 . x3x . o3*b *c3/2*e ♦ 12 | 0 12 12 0 | 0 0 0 4 0 4 0 4 0 | * * * * * * * 80 * * | 0 1 0 0 1 . x . x3o3*b ♦ 12 | 0 12 0 12 | 0 0 0 0 6 4 0 0 4 | * * * * * * * * 80 * | 0 0 1 0 1 . . x3x3o3*b *c3/2*e ♦ 12 | 0 0 12 12 | 0 0 0 0 0 0 4 4 4 | * * * * * * * * * 80 | 0 0 0 1 1 ---------------------+-----+-----------------+-------------------------------------+-----------------------------------+--------------- x3x3x3x . ♦ 120 | 60 60 60 60 | 20 30 30 20 30 0 20 0 0 | 5 10 0 10 0 0 5 0 0 0 | 16 * * * * x3x3x . o3*b *c3/2*e ♦ 60 | 30 60 60 0 | 20 30 0 20 0 20 0 20 0 | 5 0 5 0 10 0 0 5 0 0 | * 16 * * * x3x . x3o3*b ♦ 60 | 30 60 0 60 | 20 0 30 0 30 20 0 0 20 | 0 10 5 0 0 10 0 0 5 0 | * * 16 * * x . x3x3o3*b *c3/2*e ♦ 24 | 12 0 24 24 | 0 12 12 0 0 0 8 8 8 | 0 0 0 4 4 4 0 0 0 2 | * * * 40 * . x3x3x3o3*b *c3/2*e ♦ 96 | 0 96 96 96 | 0 0 0 32 48 32 32 32 32 | 0 0 0 0 0 0 8 8 8 8 | * * * * 10
x
3 \ 3/2
x---o
3 \ / \ 3/2
x---x
3 3
x3x3x3x3/2o3/2*b *c3*e . . . . . | 960 | 1 2 2 2 | 2 2 2 2 2 1 2 1 1 | 2 2 1 2 1 1 2 1 1 1 | 2 1 1 1 1 -----------------------+-----+-----------------+-------------------------------------+-----------------------------------+--------------- x . . . . | 2 | 480 * * * | 2 2 2 0 0 0 0 0 0 | 2 2 1 2 1 1 0 0 0 0 | 2 1 1 1 0 . x . . . | 2 | * 960 * * | 1 0 0 1 1 1 0 0 0 | 1 1 1 0 0 0 1 1 1 0 | 1 1 1 0 1 . . x . . | 2 | * * 960 * | 0 1 0 1 0 0 1 1 0 | 1 0 0 1 1 0 1 1 0 1 | 1 1 0 1 1 . . . x . | 2 | * * * 960 | 0 0 1 0 1 0 1 0 1 | 0 1 0 1 0 1 1 0 1 1 | 1 0 1 1 1 -----------------------+-----+-----------------+-------------------------------------+-----------------------------------+--------------- x3x . . . | 6 | 3 3 0 0 | 320 * * * * * * * * | 1 1 1 0 0 0 0 0 0 0 | 1 1 1 0 0 x . x . . | 4 | 2 0 2 0 | * 480 * * * * * * * | 1 0 0 1 1 0 0 0 0 0 | 1 1 0 1 0 x . . x . | 4 | 2 0 0 2 | * * 480 * * * * * * | 0 1 0 1 0 1 0 0 0 0 | 1 0 1 1 0 . x3x . . | 6 | 0 3 3 0 | * * * 320 * * * * * | 1 0 0 0 0 0 1 1 0 0 | 1 1 0 0 1 . x . x . | 4 | 0 2 0 2 | * * * * 480 * * * * | 0 1 0 0 0 0 1 0 1 0 | 1 0 1 0 1 . x . . o3/2*b | 3 | 0 3 0 0 | * * * * * 320 * * * | 0 0 1 0 0 0 0 1 1 0 | 0 1 1 0 1 . . x3x . | 6 | 0 0 3 3 | * * * * * * 320 * * | 0 0 0 1 0 0 1 0 0 1 | 1 0 0 1 1 . . x . o *c3*e | 3 | 0 0 3 0 | * * * * * * * 320 * | 0 0 0 0 1 0 0 1 0 1 | 0 1 0 1 1 . . . x3/2o | 3 | 0 0 0 3 | * * * * * * * * 320 | 0 0 0 0 0 1 0 0 1 1 | 0 0 1 1 1 -----------------------+-----+-----------------+-------------------------------------+-----------------------------------+--------------- x3x3x . . ♦ 24 | 12 12 12 0 | 4 6 0 4 0 0 0 0 0 | 80 * * * * * * * * * | 1 1 0 0 0 x3x . x . ♦ 12 | 6 6 0 6 | 2 0 3 0 3 0 0 0 0 | * 160 * * * * * * * * | 1 0 1 0 0 x3x . . o3/2*b ♦ 12 | 6 12 0 0 | 4 0 0 0 0 4 0 0 0 | * * 80 * * * * * * * | 0 1 1 0 0 x . x3x . ♦ 12 | 6 0 6 6 | 0 3 3 0 0 0 2 0 0 | * * * 160 * * * * * * | 1 0 0 1 0 x . x . o *c3*e ♦ 6 | 3 0 6 0 | 0 3 0 0 0 0 0 2 0 | * * * * 160 * * * * * | 0 1 0 1 0 x . . x3/2o ♦ 6 | 3 0 0 6 | 0 0 3 0 0 0 0 0 2 | * * * * * 160 * * * * | 0 0 1 1 0 . x3x3x . ♦ 24 | 0 12 12 12 | 0 0 0 4 6 0 4 0 0 | * * * * * * 80 * * * | 1 0 0 0 1 . x3x . o3/2*b *c3*e ♦ 12 | 0 12 12 0 | 0 0 0 4 0 4 0 4 0 | * * * * * * * 80 * * | 0 1 0 0 1 . x . x3/2o3/2*b ♦ 12 | 0 12 0 12 | 0 0 0 0 6 4 0 0 4 | * * * * * * * * 80 * | 0 0 1 0 1 . . x3x3/2o3/2*b *c3*e ♦ 12 | 0 0 12 12 | 0 0 0 0 0 0 4 4 4 | * * * * * * * * * 80 | 0 0 0 1 1 -----------------------+-----+-----------------+-------------------------------------+-----------------------------------+--------------- x3x3x3x . ♦ 120 | 60 60 60 60 | 20 30 30 20 30 0 20 0 0 | 5 10 0 10 0 0 5 0 0 0 | 16 * * * * x3x3x . o3/2*b *c3*e ♦ 60 | 30 60 60 0 | 20 30 0 20 0 20 0 20 0 | 5 0 5 0 10 0 0 5 0 0 | * 16 * * * x3x . x3/2o3/2*b ♦ 60 | 30 60 0 60 | 20 0 30 0 30 20 0 0 20 | 0 10 5 0 0 10 0 0 5 0 | * * 16 * * x . x3x3/2o3/2*b *c3*e ♦ 24 | 12 0 24 24 | 0 12 12 0 0 0 8 8 8 | 0 0 0 4 4 4 0 0 0 2 | * * * 40 * . x3x3x3/2o3/2*b *c3*e ♦ 96 | 0 96 96 96 | 0 0 0 32 48 32 32 32 32 | 0 0 0 0 0 0 8 8 8 8 | * * * * 10
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