- general polytopal classes:
- Wythoffian polychora
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| Acronym | stut pixady |
| Name | small tritrigonal prismatohexacosidihecatonicosachoron |
| Circumradius | sqrt[8+3 sqrt(5)] = 3.835128 |
| General of army | x3o3o5v |
| Colonel of regiment | stut phiddix |
| Face vector | 2400, 10800, 8880, 1560 |
| Confer |
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External links |
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As abstract polytope stut pixady is isomorphic to getit pixady, thereby interchanging the pentagrams and pentagons, resp. replacing the srid by qrid and stip by pip.
Incidence matrix according to Dynkin symbol
x
3 |
o
3 / \ 5
o---x
5/3
x3o3o5/3x5*b . . . . | 2400 | 3 6 | 3 6 3 3 | 1 3 3 1 -------------+------+-----------+---------------------+---------------- x . . . | 2 | 3600 * | 2 2 0 0 | 1 2 1 0 . . . x | 2 | * 7200 | 0 1 1 1 | 0 1 1 1 -------------+------+-----------+---------------------+---------------- x3o . . | 3 | 3 0 | 2400 * * * | 1 1 0 0 x . . x | 4 | 2 2 | * 3600 * * | 0 1 1 0 . o . x5*b | 5 | 0 5 | * * 1440 * | 0 1 0 1 . . o5/3x | 5 | 0 5 | * * * 1440 | 0 0 1 1 -------------+------+-----------+---------------------+---------------- x3o3o . ♦ 4 | 6 0 | 4 0 0 0 | 600 * * * x3o . x5*b ♦ 60 | 60 60 | 20 30 12 0 | * 120 * * x . o5/3x ♦ 10 | 5 10 | 0 5 0 2 | * * 720 * . o3o5/3x5*b ♦ 20 | 0 60 | 0 0 12 12 | * * * 120
x
3 |
o
3/2 / \ 5
o---x
5/2
x3o3/2o5/2x5*b . . . . | 2400 | 3 6 | 3 6 3 3 | 1 3 3 1 ---------------+------+-----------+---------------------+---------------- x . . . | 2 | 3600 * | 2 2 0 0 | 1 2 1 0 . . . x | 2 | * 7200 | 0 1 1 1 | 0 1 1 1 ---------------+------+-----------+---------------------+---------------- x3o . . | 3 | 3 0 | 2400 * * * | 1 1 0 0 x . . x | 4 | 2 2 | * 3600 * * | 0 1 1 0 . o . x5*b | 5 | 0 5 | * * 1440 * | 0 1 0 1 . . o5/2x | 5 | 0 5 | * * * 1440 | 0 0 1 1 ---------------+------+-----------+---------------------+---------------- x3o3/2o . ♦ 4 | 6 0 | 4 0 0 0 | 600 * * * x3o . x5*b ♦ 60 | 60 60 | 20 30 12 0 | * 120 * * x . o5/2x ♦ 10 | 5 10 | 0 5 0 2 | * * 720 * . o3/2o5/2x5*b ♦ 20 | 0 60 | 0 0 12 12 | * * * 120
x
3/2 |
o
3 / \ 5/4
o---x
5/2
x3/2o3o5/2x5/4*b . . . . | 2400 | 3 6 | 3 6 3 3 | 1 3 3 1 -----------------+------+-----------+---------------------+---------------- x . . . | 2 | 3600 * | 2 2 0 0 | 1 2 1 0 . . . x | 2 | * 7200 | 0 1 1 1 | 0 1 1 1 -----------------+------+-----------+---------------------+---------------- x3/2o . . | 3 | 3 0 | 2400 * * * | 1 1 0 0 x . . x | 4 | 2 2 | * 3600 * * | 0 1 1 0 . o . x5/4*b | 5 | 0 5 | * * 1440 * | 0 1 0 1 . . o5/2x | 5 | 0 5 | * * * 1440 | 0 0 1 1 -----------------+------+-----------+---------------------+---------------- x3/2o3o . ♦ 4 | 6 0 | 4 0 0 0 | 600 * * * x3/2o . x5/4*b ♦ 60 | 60 60 | 20 30 12 0 | * 120 * * x . o5/2x ♦ 10 | 5 10 | 0 5 0 2 | * * 720 * . o3o5/2x5/4*b ♦ 20 | 0 60 | 0 0 12 12 | * * * 120
x
3/2 |
o
3/2 / \ 5/4
o---x
5/3
x3/2o3/2o5/3x5/4*b . . . . | 2400 | 3 6 | 3 6 3 3 | 1 3 3 1 -------------------+------+-----------+---------------------+---------------- x . . . | 2 | 3600 * | 2 2 0 0 | 1 2 1 0 . . . x | 2 | * 7200 | 0 1 1 1 | 0 1 1 1 -------------------+------+-----------+---------------------+---------------- x3/2o . . | 3 | 3 0 | 2400 * * * | 1 1 0 0 x . . x | 4 | 2 2 | * 3600 * * | 0 1 1 0 . o . x5/4*b | 5 | 0 5 | * * 1440 * | 0 1 0 1 . . o5/3x | 5 | 0 5 | * * * 1440 | 0 0 1 1 -------------------+------+-----------+---------------------+---------------- x3/2o3/2o . ♦ 4 | 6 0 | 4 0 0 0 | 600 * * * x3/2o . x5/4*b ♦ 60 | 60 60 | 20 30 12 0 | * 120 * * x . o5/3x ♦ 10 | 5 10 | 0 5 0 2 | * * 720 * . o3/2o5/3x5/4*b ♦ 20 | 0 60 | 0 0 12 12 | * * * 120
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