- general polytopal classes:
- Wythoffian polytera
links
| Acronym | roptix |
| Name | retroprismatotruncated hexateron |
| Circumradius | sqrt(41/12) = 1.848423 |
| Colonel of regiment | pattix |
| Face vector | 180, 630, 660, 255, 33 |
| Confer |
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External links |
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Incidence matrix according to Dynkin symbol
3 3 3
o---x---x---x
3 \ / 3/2
o
o3x3x3x *b3o3/2*c . . . . . | 180 | 4 2 1 | 2 4 4 2 2 1 | 2 2 1 4 2 2 1 | 2 1 1 2 ------------------+-----+------------+-----------------------+----------------------+--------- . x . . . | 2 | 360 * * | 1 1 1 1 0 0 | 1 1 1 1 1 1 0 | 1 1 1 1 . . x . . | 2 | * 180 * | 0 2 0 0 1 1 | 1 0 0 2 2 0 1 | 1 1 0 2 . . . x . | 2 | * * 90 | 0 0 4 0 2 0 | 0 2 0 4 0 2 1 | 2 0 1 2 ------------------+-----+------------+-----------------------+----------------------+--------- o3x . . . | 3 | 3 0 0 | 120 * * * * * | 1 1 1 0 0 0 0 | 1 1 1 0 . x3x . . | 6 | 3 3 0 | * 120 * * * * | 1 0 0 1 1 0 0 | 1 1 0 1 . x . x . | 4 | 2 0 2 | * * 180 * * * | 0 1 0 1 0 1 0 | 1 0 1 1 . x . . *b3o | 3 | 3 0 0 | * * * 120 * * | 0 0 1 0 1 1 0 | 0 1 1 1 . . x3x . | 6 | 0 3 3 | * * * * 60 * | 0 0 0 2 0 0 1 | 1 0 0 2 . . x . o3/2*c | 3 | 0 3 0 | * * * * * 60 | 0 0 0 0 2 0 1 | 0 1 0 2 ------------------+-----+------------+-----------------------+----------------------+--------- o3x3x . . ♦ 12 | 12 6 0 | 4 4 0 0 0 0 | 30 * * * * * * | 1 1 0 0 o3x . x . ♦ 6 | 6 0 3 | 2 0 3 0 0 0 | * 60 * * * * * | 1 0 1 0 o3x . . *b3o ♦ 6 | 12 0 0 | 4 0 0 4 0 0 | * * 30 * * * * | 0 1 1 0 . x3x3x . ♦ 24 | 12 12 12 | 0 4 6 0 4 0 | * * * 30 * * * | 1 0 0 1 . x3x . *b3o3/2*c ♦ 12 | 12 12 0 | 0 4 0 4 0 4 | * * * * 30 * * | 0 1 0 1 . x . x *b3o ♦ 6 | 6 0 3 | 0 0 3 2 0 0 | * * * * * 60 * | 0 0 1 1 . . x3x o3/2*c ♦ 12 | 0 12 6 | 0 0 0 0 4 4 | * * * * * * 15 | 0 0 0 2 ------------------+-----+------------+-----------------------+----------------------+--------- o3x3x3x . ♦ 60 | 60 30 30 | 20 20 30 0 10 0 | 5 10 0 5 0 0 0 | 6 * * * o3x3x . *b3o3/2*c ♦ 30 | 60 30 0 | 20 20 0 20 0 10 | 5 0 5 0 5 0 0 | * 6 * * o3x . x *b3o ♦ 12 | 24 0 6 | 8 0 12 8 0 0 | 0 4 2 0 0 4 0 | * * 15 * . x3x3x *b3o3/2*c ♦ 60 | 60 60 30 | 0 20 30 20 20 20 | 0 0 0 5 5 10 5 | * * * 6
3 3 3
x---x---x---o
3 \ / 3/2
o
o3x3x3x *b3/2o3*c . . . . . | 180 | 4 2 1 | 2 4 4 2 2 1 | 2 2 1 4 2 2 1 | 2 1 1 2 ------------------+-----+------------+-----------------------+----------------------+--------- . x . . . | 2 | 360 * * | 1 1 1 1 0 0 | 1 1 1 1 1 1 0 | 1 1 1 1 . . x . . | 2 | * 180 * | 0 2 0 0 1 1 | 1 0 0 2 2 0 1 | 1 1 0 2 . . . x . | 2 | * * 90 | 0 0 4 0 2 0 | 0 2 0 4 0 2 1 | 2 0 1 2 ------------------+-----+------------+-----------------------+----------------------+--------- o3x . . . | 3 | 3 0 0 | 120 * * * * * | 1 1 1 0 0 0 0 | 1 1 1 0 . x3x . . | 6 | 3 3 0 | * 120 * * * * | 1 0 0 1 1 0 0 | 1 1 0 1 . x . x . | 4 | 2 0 2 | * * 180 * * * | 0 1 0 1 0 1 0 | 1 0 1 1 . x . . *b3/2o | 3 | 3 0 0 | * * * 120 * * | 0 0 1 0 1 1 0 | 0 1 1 1 . . x3x . | 6 | 0 3 3 | * * * * 60 * | 0 0 0 2 0 0 1 | 1 0 0 2 . . x . o3*c | 3 | 0 3 0 | * * * * * 60 | 0 0 0 0 2 0 1 | 0 1 0 2 ------------------+-----+------------+-----------------------+----------------------+--------- o3x3x . . ♦ 12 | 12 6 0 | 4 4 0 0 0 0 | 30 * * * * * * | 1 1 0 0 o3x . x . ♦ 6 | 6 0 3 | 2 0 3 0 0 0 | * 60 * * * * * | 1 0 1 0 o3x . . *b3/2o ♦ 6 | 12 0 0 | 4 0 0 4 0 0 | * * 30 * * * * | 0 1 1 0 . x3x3x . ♦ 24 | 12 12 12 | 0 4 6 0 4 0 | * * * 30 * * * | 1 0 0 1 . x3x . *b3/2o3*c ♦ 12 | 12 12 0 | 0 4 0 4 0 4 | * * * * 30 * * | 0 1 0 1 . x . x *b3/2o ♦ 6 | 6 0 3 | 0 0 3 2 0 0 | * * * * * 60 * | 0 0 1 1 . . x3x o3*c ♦ 12 | 0 12 6 | 0 0 0 0 4 4 | * * * * * * 15 | 0 0 0 2 ------------------+-----+------------+-----------------------+----------------------+--------- o3x3x3x . ♦ 60 | 60 30 30 | 20 20 30 0 10 0 | 5 10 0 5 0 0 0 | 6 * * * o3x3x . *b3/2o3*c ♦ 30 | 60 30 0 | 20 20 0 20 0 10 | 5 0 5 0 5 0 0 | * 6 * * o3x . x *b3/2o ♦ 12 | 24 0 6 | 8 0 12 8 0 0 | 0 4 2 0 0 4 0 | * * 15 * . x3x3x *b3/2o3*c ♦ 60 | 60 60 30 | 0 20 30 20 20 20 | 0 0 0 5 5 10 5 | * * * 6
3/2 3 3
o---x---x---x
3 \ / 3/2
o
o3/2x3x3x *b3o3/2*c . . . . . | 180 | 4 2 1 | 2 4 4 2 2 1 | 2 2 1 4 2 2 1 | 2 1 1 2 --------------------+-----+------------+-----------------------+----------------------+--------- . x . . . | 2 | 360 * * | 1 1 1 1 0 0 | 1 1 1 1 1 1 0 | 1 1 1 1 . . x . . | 2 | * 180 * | 0 2 0 0 1 1 | 1 0 0 2 2 0 1 | 1 1 0 2 . . . x . | 2 | * * 90 | 0 0 4 0 2 0 | 0 2 0 4 0 2 1 | 2 0 1 2 --------------------+-----+------------+-----------------------+----------------------+--------- o3/2x . . . | 3 | 3 0 0 | 120 * * * * * | 1 1 1 0 0 0 0 | 1 1 1 0 . x3x . . | 6 | 3 3 0 | * 120 * * * * | 1 0 0 1 1 0 0 | 1 1 0 1 . x . x . | 4 | 2 0 2 | * * 180 * * * | 0 1 0 1 0 1 0 | 1 0 1 1 . x . . *b3o | 3 | 3 0 0 | * * * 120 * * | 0 0 1 0 1 1 0 | 0 1 1 1 . . x3x . | 6 | 0 3 3 | * * * * 60 * | 0 0 0 2 0 0 1 | 1 0 0 2 . . x . o3/2*c | 3 | 0 3 0 | * * * * * 60 | 0 0 0 0 2 0 1 | 0 1 0 2 --------------------+-----+------------+-----------------------+----------------------+--------- o3/2x3x . . ♦ 12 | 12 6 0 | 4 4 0 0 0 0 | 30 * * * * * * | 1 1 0 0 o3/2x . x . ♦ 6 | 6 0 3 | 2 0 3 0 0 0 | * 60 * * * * * | 1 0 1 0 o3/2x . . *b3o ♦ 6 | 12 0 0 | 4 0 0 4 0 0 | * * 30 * * * * | 0 1 1 0 . x3x3x . ♦ 24 | 12 12 12 | 0 4 6 0 4 0 | * * * 30 * * * | 1 0 0 1 . x3x . *b3o3/2*c ♦ 12 | 12 12 0 | 0 4 0 4 0 4 | * * * * 30 * * | 0 1 0 1 . x . x *b3o ♦ 6 | 6 0 3 | 0 0 3 2 0 0 | * * * * * 60 * | 0 0 1 1 . . x3x o3/2*c ♦ 12 | 0 12 6 | 0 0 0 0 4 4 | * * * * * * 15 | 0 0 0 2 --------------------+-----+------------+-----------------------+----------------------+--------- o3/2x3x3x . ♦ 60 | 60 30 30 | 20 20 30 0 10 0 | 5 10 0 5 0 0 0 | 6 * * * o3/2x3x . *b3o3/2*c ♦ 30 | 60 30 0 | 20 20 0 20 0 10 | 5 0 5 0 5 0 0 | * 6 * * o3/2x . x *b3o ♦ 12 | 24 0 6 | 8 0 12 8 0 0 | 0 4 2 0 0 4 0 | * * 15 * . x3x3x *b3o3/2*c ♦ 60 | 60 60 30 | 0 20 30 20 20 20 | 0 0 0 5 5 10 5 | * * * 6
3 3 3/2
x---x---x---o
3 \ / 3/2
o
o3/2x3x3x *b3/2o3*c . . . . . | 180 | 4 2 1 | 2 4 4 2 2 1 | 2 2 1 4 2 2 1 | 2 1 1 2 --------------------+-----+------------+-----------------------+----------------------+--------- . x . . . | 2 | 360 * * | 1 1 1 1 0 0 | 1 1 1 1 1 1 0 | 1 1 1 1 . . x . . | 2 | * 180 * | 0 2 0 0 1 1 | 1 0 0 2 2 0 1 | 1 1 0 2 . . . x . | 2 | * * 90 | 0 0 4 0 2 0 | 0 2 0 4 0 2 1 | 2 0 1 2 --------------------+-----+------------+-----------------------+----------------------+--------- o3/2x . . . | 3 | 3 0 0 | 120 * * * * * | 1 1 1 0 0 0 0 | 1 1 1 0 . x3x . . | 6 | 3 3 0 | * 120 * * * * | 1 0 0 1 1 0 0 | 1 1 0 1 . x . x . | 4 | 2 0 2 | * * 180 * * * | 0 1 0 1 0 1 0 | 1 0 1 1 . x . . *b3/2o | 3 | 3 0 0 | * * * 120 * * | 0 0 1 0 1 1 0 | 0 1 1 1 . . x3x . | 6 | 0 3 3 | * * * * 60 * | 0 0 0 2 0 0 1 | 1 0 0 2 . . x . o3*c | 3 | 0 3 0 | * * * * * 60 | 0 0 0 0 2 0 1 | 0 1 0 2 --------------------+-----+------------+-----------------------+----------------------+--------- o3/2x3x . . ♦ 12 | 12 6 0 | 4 4 0 0 0 0 | 30 * * * * * * | 1 1 0 0 o3/2x . x . ♦ 6 | 6 0 3 | 2 0 3 0 0 0 | * 60 * * * * * | 1 0 1 0 o3/2x . . *b3/2o ♦ 6 | 12 0 0 | 4 0 0 4 0 0 | * * 30 * * * * | 0 1 1 0 . x3x3x . ♦ 24 | 12 12 12 | 0 4 6 0 4 0 | * * * 30 * * * | 1 0 0 1 . x3x . *b3/2o3*c ♦ 12 | 12 12 0 | 0 4 0 4 0 4 | * * * * 30 * * | 0 1 0 1 . x . x *b3/2o ♦ 6 | 6 0 3 | 0 0 3 2 0 0 | * * * * * 60 * | 0 0 1 1 . . x3x o3*c ♦ 12 | 0 12 6 | 0 0 0 0 4 4 | * * * * * * 15 | 0 0 0 2 --------------------+-----+------------+-----------------------+----------------------+--------- o3/2x3x3x . ♦ 60 | 60 30 30 | 20 20 30 0 10 0 | 5 10 0 5 0 0 0 | 6 * * * o3/2x3x . *b3/2o3*c ♦ 30 | 60 30 0 | 20 20 0 20 0 10 | 5 0 5 0 5 0 0 | * 6 * * o3/2x . x *b3/2o ♦ 12 | 24 0 6 | 8 0 12 8 0 0 | 0 4 2 0 0 4 0 | * * 15 * . x3x3x *b3/2o3*c ♦ 60 | 60 60 30 | 0 20 30 20 20 20 | 0 0 0 5 5 10 5 | * * * 6
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