- general polytopal classes:
- Wythoffian polytera
links
| Acronym | rorpdah |
| Name | retroretroprismated dishexadecateron |
| Circumradius | sqrt(7/2) = 1.870829 |
| Coordinates | (2, 1, 1, 1, 0)/sqrt(2) & all permutations, all changes of sign |
| General of army | spat |
| Colonel of regiment | spat |
| Face vector | 320, 1440, 1920, 880, 74 |
| Confer |
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External links |
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Incidence matrix according to Dynkin symbol
3 _x_ 3
_- -_
o-----------x
\ 3/2 /
3 \ / 3
o-----x
3
o3x3x3x3o3*a3/2*c . . . . . | 320 | 3 3 3 | 3 3 3 6 6 3 | 3 3 1 3 1 1 6 3 3 | 3 1 1 1 3 ------------------+-----+-------------+-------------------------+------------------------------+--------------- . x . . . | 2 | 480 * * | 2 0 1 2 0 0 | 2 2 1 0 0 0 2 1 0 | 2 1 1 0 1 . . x . . | 2 | * 480 * | 0 2 1 0 2 0 | 2 0 0 2 1 0 2 0 1 | 2 1 0 1 1 . . . x . | 2 | * * 480 | 0 0 0 2 2 2 | 0 1 0 1 0 1 2 2 2 | 1 0 1 1 2 ------------------+-----+-------------+-------------------------+------------------------------+--------------- o3x . . . | 3 | 3 0 0 | 320 * * * * * | 1 1 1 0 0 0 0 0 0 | 1 1 1 0 0 o . x . . *a3/2*c | 3 | 0 3 0 | * 320 * * * * | 1 0 0 1 1 0 0 0 0 | 1 1 0 1 0 . x3x . . | 6 | 3 3 0 | * * 160 * * * | 2 0 0 0 0 0 2 0 0 | 2 1 0 0 1 . x . x . | 4 | 2 0 2 | * * * 480 * * | 0 1 0 0 0 0 1 1 0 | 1 0 1 0 1 . . x3x . | 6 | 0 3 3 | * * * * 320 * | 0 0 0 1 0 0 1 0 1 | 1 0 0 1 1 . . . x3o | 3 | 0 0 3 | * * * * * 320 | 0 0 0 0 0 1 0 1 1 | 0 0 1 1 1 ------------------+-----+-------------+-------------------------+------------------------------+--------------- o3x3x . . *a3/2*c ♦ 12 | 12 12 0 | 4 4 4 0 0 0 | 80 * * * * * * * * | 1 1 0 0 0 o3x . x . ♦ 6 | 6 0 3 | 2 0 0 3 0 0 | * 160 * * * * * * * | 1 0 1 0 0 o3x . . o3*a ♦ 4 | 6 0 0 | 4 0 0 0 0 0 | * * 80 * * * * * * | 0 1 1 0 0 o . x3x . *a3/2*c ♦ 12 | 0 12 6 | 0 4 0 0 4 0 | * * * 80 * * * * * | 1 0 0 1 0 o . x . o3*a3/2*c ♦ 4 | 0 6 0 | 0 4 0 0 0 0 | * * * * 80 * * * * | 0 1 0 1 0 o . . x3o3*a ♦ 4 | 0 0 6 | 0 0 0 0 0 4 | * * * * * 80 * * * | 0 0 1 1 0 . x3x3x . ♦ 24 | 12 12 12 | 0 0 4 6 4 0 | * * * * * * 80 * * | 1 0 0 0 1 . x . x3o ♦ 6 | 3 0 6 | 0 0 0 3 0 2 | * * * * * * * 160 * | 0 0 1 0 1 . . x3x3o ♦ 12 | 0 6 12 | 0 0 0 0 4 4 | * * * * * * * * 80 | 0 0 0 1 1 ------------------+-----+-------------+-------------------------+------------------------------+--------------- o3x3x3x . *a3/2*c ♦ 60 | 60 60 30 | 20 20 20 30 20 0 | 5 10 0 5 0 0 5 0 0 | 16 * * * * o3x3x . o3*a3/2*c ♦ 20 | 30 30 0 | 20 20 10 0 0 0 | 5 0 5 0 5 0 0 0 0 | * 16 * * * o3x . x3o3*a ♦ 20 | 30 0 30 | 20 0 0 30 0 20 | 0 10 5 0 0 5 0 10 0 | * * 16 * * o . x3x3o3*a3/2*c ♦ 32 | 0 48 48 | 0 32 0 0 32 32 | 0 0 0 8 8 8 0 0 8 | * * * 10 * . x3x3x3o ♦ 60 | 30 30 60 | 0 0 10 30 20 20 | 0 0 0 0 0 0 5 10 5 | * * * * 16
3/2 _x_ 3
_- -_
o-----------x
\ 3 /
3/2 \ / 3
o-----x
3
o3/2x3x3x3o3/2*a3*c . . . . . | 320 | 3 3 3 | 3 3 3 6 6 3 | 3 3 1 3 1 1 6 3 3 | 3 1 1 1 3 --------------------+-----+-------------+-------------------------+------------------------------+--------------- . x . . . | 2 | 480 * * | 2 0 1 2 0 0 | 2 2 1 0 0 0 2 1 0 | 2 1 1 0 1 . . x . . | 2 | * 480 * | 0 2 1 0 2 0 | 2 0 0 2 1 0 2 0 1 | 2 1 0 1 1 . . . x . | 2 | * * 480 | 0 0 0 2 2 2 | 0 1 0 1 0 1 2 2 2 | 1 0 1 1 2 --------------------+-----+-------------+-------------------------+------------------------------+--------------- o3/2x . . . | 3 | 3 0 0 | 320 * * * * * | 1 1 1 0 0 0 0 0 0 | 1 1 1 0 0 o . x . . *a3*c | 3 | 0 3 0 | * 320 * * * * | 1 0 0 1 1 0 0 0 0 | 1 1 0 1 0 . x3x . . | 6 | 3 3 0 | * * 160 * * * | 2 0 0 0 0 0 2 0 0 | 2 1 0 0 1 . x . x . | 4 | 2 0 2 | * * * 480 * * | 0 1 0 0 0 0 1 1 0 | 1 0 1 0 1 . . x3x . | 6 | 0 3 3 | * * * * 320 * | 0 0 0 1 0 0 1 0 1 | 1 0 0 1 1 . . . x3o | 3 | 0 0 3 | * * * * * 320 | 0 0 0 0 0 1 0 1 1 | 0 0 1 1 1 --------------------+-----+-------------+-------------------------+------------------------------+--------------- o3/2x3x . . *a3*c ♦ 12 | 12 12 0 | 4 4 4 0 0 0 | 80 * * * * * * * * | 1 1 0 0 0 o3/2x . x . ♦ 6 | 6 0 3 | 2 0 0 3 0 0 | * 160 * * * * * * * | 1 0 1 0 0 o3/2x . . o3/2*a ♦ 4 | 6 0 0 | 4 0 0 0 0 0 | * * 80 * * * * * * | 0 1 1 0 0 o . x3x . *a3*c ♦ 12 | 0 12 6 | 0 4 0 0 4 0 | * * * 80 * * * * * | 1 0 0 1 0 o . x . o3/2*a3*c ♦ 4 | 0 6 0 | 0 4 0 0 0 0 | * * * * 80 * * * * | 0 1 0 1 0 o . . x3o3/2*a ♦ 4 | 0 0 6 | 0 0 0 0 0 4 | * * * * * 80 * * * | 0 0 1 1 0 . x3x3x . ♦ 24 | 12 12 12 | 0 0 4 6 4 0 | * * * * * * 80 * * | 1 0 0 0 1 . x . x3o ♦ 6 | 3 0 6 | 0 0 0 3 0 2 | * * * * * * * 160 * | 0 0 1 0 1 . . x3x3o ♦ 12 | 0 6 12 | 0 0 0 0 4 4 | * * * * * * * * 80 | 0 0 0 1 1 --------------------+-----+-------------+-------------------------+------------------------------+--------------- o3/2x3x3x . *a3*c ♦ 60 | 60 60 30 | 20 20 20 30 20 0 | 5 10 0 5 0 0 5 0 0 | 16 * * * * o3/2x3x . o3/2*a3*c ♦ 20 | 30 30 0 | 20 20 10 0 0 0 | 5 0 5 0 5 0 0 0 0 | * 16 * * * o3/2x . x3o3/2*a ♦ 20 | 30 0 30 | 20 0 0 30 0 20 | 0 10 5 0 0 5 0 10 0 | * * 16 * * o . x3x3o3/2*a3*c ♦ 32 | 0 48 48 | 0 32 0 0 32 32 | 0 0 0 8 8 8 0 0 8 | * * * 10 * . x3x3x3o ♦ 60 | 30 30 60 | 0 0 10 30 20 20 | 0 0 0 0 0 0 5 10 5 | * * * * 16
3/2 _x_ 3
_- -_
o-----------x
\ 3 /
3 \ / 3
o-----x
3/2
o3/2x3x3x3/2o3*a3*c . . . . . | 320 | 3 3 3 | 3 3 3 6 6 3 | 3 3 1 3 1 1 6 3 3 | 3 1 1 1 3 --------------------+-----+-------------+-------------------------+------------------------------+--------------- . x . . . | 2 | 480 * * | 2 0 1 2 0 0 | 2 2 1 0 0 0 2 1 0 | 2 1 1 0 1 . . x . . | 2 | * 480 * | 0 2 1 0 2 0 | 2 0 0 2 1 0 2 0 1 | 2 1 0 1 1 . . . x . | 2 | * * 480 | 0 0 0 2 2 2 | 0 1 0 1 0 1 2 2 2 | 1 0 1 1 2 --------------------+-----+-------------+-------------------------+------------------------------+--------------- o3/2x . . . | 3 | 3 0 0 | 320 * * * * * | 1 1 1 0 0 0 0 0 0 | 1 1 1 0 0 o . x . . *a3*c | 3 | 0 3 0 | * 320 * * * * | 1 0 0 1 1 0 0 0 0 | 1 1 0 1 0 . x3x . . | 6 | 3 3 0 | * * 160 * * * | 2 0 0 0 0 0 2 0 0 | 2 1 0 0 1 . x . x . | 4 | 2 0 2 | * * * 480 * * | 0 1 0 0 0 0 1 1 0 | 1 0 1 0 1 . . x3x . | 6 | 0 3 3 | * * * * 320 * | 0 0 0 1 0 0 1 0 1 | 1 0 0 1 1 . . . x3/2o | 3 | 0 0 3 | * * * * * 320 | 0 0 0 0 0 1 0 1 1 | 0 0 1 1 1 --------------------+-----+-------------+-------------------------+------------------------------+--------------- o3/2x3x . . *a3*c ♦ 12 | 12 12 0 | 4 4 4 0 0 0 | 80 * * * * * * * * | 1 1 0 0 0 o3/2x . x . ♦ 6 | 6 0 3 | 2 0 0 3 0 0 | * 160 * * * * * * * | 1 0 1 0 0 o3/2x . . o3*a ♦ 4 | 6 0 0 | 4 0 0 0 0 0 | * * 80 * * * * * * | 0 1 1 0 0 o . x3x . *a3*c ♦ 12 | 0 12 6 | 0 4 0 0 4 0 | * * * 80 * * * * * | 1 0 0 1 0 o . x . o3*a3*c ♦ 4 | 0 6 0 | 0 4 0 0 0 0 | * * * * 80 * * * * | 0 1 0 1 0 o . . x3/2o3*a ♦ 4 | 0 0 6 | 0 0 0 0 0 4 | * * * * * 80 * * * | 0 0 1 1 0 . x3x3x . ♦ 24 | 12 12 12 | 0 0 4 6 4 0 | * * * * * * 80 * * | 1 0 0 0 1 . x . x3/2o ♦ 6 | 3 0 6 | 0 0 0 3 0 2 | * * * * * * * 160 * | 0 0 1 0 1 . . x3x3/2o ♦ 12 | 0 6 12 | 0 0 0 0 4 4 | * * * * * * * * 80 | 0 0 0 1 1 --------------------+-----+-------------+-------------------------+------------------------------+--------------- o3/2x3x3x . *a3*c ♦ 60 | 60 60 30 | 20 20 20 30 20 0 | 5 10 0 5 0 0 5 0 0 | 16 * * * * o3/2x3x . o3*a3*c ♦ 20 | 30 30 0 | 20 20 10 0 0 0 | 5 0 5 0 5 0 0 0 0 | * 16 * * * o3/2x . x3/2o3*a ♦ 20 | 30 0 30 | 20 0 0 30 0 20 | 0 10 5 0 0 5 0 10 0 | * * 16 * * o . x3x3/2o3*a3*c ♦ 32 | 0 48 48 | 0 32 0 0 32 32 | 0 0 0 8 8 8 0 0 8 | * * * 10 * . x3x3x3/2o ♦ 60 | 30 30 60 | 0 0 10 30 20 20 | 0 0 0 0 0 0 5 10 5 | * * * * 16
3 _x_ 3
_- -_
o-----------x
\ 3/2 /
3/2 \ / 3
o-----x
3/2
o3x3x3x3/2o3/2*a3/2*c . . . . . | 320 | 3 3 3 | 3 3 3 6 6 3 | 3 3 1 3 1 1 6 3 3 | 3 1 1 1 3 ----------------------+-----+-------------+-------------------------+------------------------------+--------------- . x . . . | 2 | 480 * * | 2 0 1 2 0 0 | 2 2 1 0 0 0 2 1 0 | 2 1 1 0 1 . . x . . | 2 | * 480 * | 0 2 1 0 2 0 | 2 0 0 2 1 0 2 0 1 | 2 1 0 1 1 . . . x . | 2 | * * 480 | 0 0 0 2 2 2 | 0 1 0 1 0 1 2 2 2 | 1 0 1 1 2 ----------------------+-----+-------------+-------------------------+------------------------------+--------------- o3x . . . | 3 | 3 0 0 | 320 * * * * * | 1 1 1 0 0 0 0 0 0 | 1 1 1 0 0 o . x . . *a3/2*c | 3 | 0 3 0 | * 320 * * * * | 1 0 0 1 1 0 0 0 0 | 1 1 0 1 0 . x3x . . | 6 | 3 3 0 | * * 160 * * * | 2 0 0 0 0 0 2 0 0 | 2 1 0 0 1 . x . x . | 4 | 2 0 2 | * * * 480 * * | 0 1 0 0 0 0 1 1 0 | 1 0 1 0 1 . . x3x . | 6 | 0 3 3 | * * * * 320 * | 0 0 0 1 0 0 1 0 1 | 1 0 0 1 1 . . . x3/2o | 3 | 0 0 3 | * * * * * 320 | 0 0 0 0 0 1 0 1 1 | 0 0 1 1 1 ----------------------+-----+-------------+-------------------------+------------------------------+--------------- o3x3x . . *a3/2*c ♦ 12 | 12 12 0 | 4 4 4 0 0 0 | 80 * * * * * * * * | 1 1 0 0 0 o3x . x . ♦ 6 | 6 0 3 | 2 0 0 3 0 0 | * 160 * * * * * * * | 1 0 1 0 0 o3x . . o3/2*a ♦ 4 | 6 0 0 | 4 0 0 0 0 0 | * * 80 * * * * * * | 0 1 1 0 0 o . x3x . *a3/2*c ♦ 12 | 0 12 6 | 0 4 0 0 4 0 | * * * 80 * * * * * | 1 0 0 1 0 o . x . o3/2*a3/2*c ♦ 4 | 0 6 0 | 0 4 0 0 0 0 | * * * * 80 * * * * | 0 1 0 1 0 o . . x3/2o3/2*a ♦ 4 | 0 0 6 | 0 0 0 0 0 4 | * * * * * 80 * * * | 0 0 1 1 0 . x3x3x . ♦ 24 | 12 12 12 | 0 0 4 6 4 0 | * * * * * * 80 * * | 1 0 0 0 1 . x . x3/2o ♦ 6 | 3 0 6 | 0 0 0 3 0 2 | * * * * * * * 160 * | 0 0 1 0 1 . . x3x3/2o ♦ 12 | 0 6 12 | 0 0 0 0 4 4 | * * * * * * * * 80 | 0 0 0 1 1 ----------------------+-----+-------------+-------------------------+------------------------------+--------------- o3x3x3x . *a3/2*c ♦ 60 | 60 60 30 | 20 20 20 30 20 0 | 5 10 0 5 0 0 5 0 0 | 16 * * * * o3x3x . o3/2*a3/2*c ♦ 20 | 30 30 0 | 20 20 10 0 0 0 | 5 0 5 0 5 0 0 0 0 | * 16 * * * o3x . x3/2o3/2*a ♦ 20 | 30 0 30 | 20 0 0 30 0 20 | 0 10 5 0 0 5 0 10 0 | * * 16 * * o . x3x3/2o3/2*a3/2*c ♦ 32 | 0 48 48 | 0 32 0 0 32 32 | 0 0 0 8 8 8 0 0 8 | * * * 10 * . x3x3x3/2o ♦ 60 | 30 30 60 | 0 0 10 30 20 20 | 0 0 0 0 0 0 5 10 5 | * * * * 16
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