- general polytopal classes:
- Wythoffian polychora
links
| Acronym | sit thixady |
| Name | small tritrigonal hecatonicosihexacosidishecatonicosachoron |
| Circumradius | sqrt[8+3 sqrt(5)] = 3.835128 |
| General of army | x3o3o5v |
| Colonel of regiment | stut phiddix |
| Face vector | 2400, 10800, 7680, 960 |
| Confer |
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As abstract polytope sit thixady is isomorphic to git thixady, thereby replacing the decagons by decagrams and the pentagrams by pentagons, resp. replacing the sidtid by gidtid, sidditdid by gidditdid, and tid by quit gissid.
Incidence matrix according to Dynkin symbol
x3o3o3/2x5*a5/2*c . . . . | 2400 | 6 3 | 3 3 6 3 | 1 3 3 1 ------------------+------+-----------+---------------------+---------------- x . . . | 2 | 7200 * | 1 1 1 0 | 1 1 1 0 . . . x | 2 | * 3600 | 0 0 2 2 | 0 1 2 1 ------------------+------+-----------+---------------------+---------------- x3o . . | 3 | 3 0 | 2400 * * * | 1 1 0 0 x . o . *a5/2*c | 5 | 5 0 | * 1440 * * | 1 0 1 0 x . . x5*a | 10 | 5 5 | * * 1440 * | 0 1 1 0 . . o3/2x | 3 | 0 3 | * * * 2400 | 0 0 1 1 ------------------+------+-----------+---------------------+---------------- x3o3o . *a5/2*c ♦ 20 | 60 0 | 20 12 0 0 | 120 * * * x3o . x5*a ♦ 60 | 60 30 | 20 0 12 0 | * 120 * * x . o3/2x5*a5/2*c ♦ 60 | 60 60 | 0 12 12 20 | * * 120 * . o3o3/2x ♦ 4 | 0 6 | 0 0 0 4 | * * * 600
x3o3/2o3x5*a5/3*c . . . . | 2400 | 6 3 | 3 3 6 3 | 1 3 3 1 ------------------+------+-----------+---------------------+---------------- x . . . | 2 | 7200 * | 1 1 1 0 | 1 1 1 0 . . . x | 2 | * 3600 | 0 0 2 2 | 0 1 2 1 ------------------+------+-----------+---------------------+---------------- x3o . . | 3 | 3 0 | 2400 * * * | 1 1 0 0 x . o . *a5/3*c | 5 | 5 0 | * 1440 * * | 1 0 1 0 x . . x5*a | 10 | 5 5 | * * 1440 * | 0 1 1 0 . . o3x | 3 | 0 3 | * * * 2400 | 0 0 1 1 ------------------+------+-----------+---------------------+---------------- x3o3/2o . *a5/3*c ♦ 20 | 60 0 | 20 12 0 0 | 120 * * * x3o . x5*a ♦ 60 | 60 30 | 20 0 12 0 | * 120 * * x . o3x5*a5/3*c ♦ 60 | 60 60 | 0 12 12 20 | * * 120 * . o3/2o3x ♦ 4 | 0 6 | 0 0 0 4 | * * * 600
x3/2o3o3x5*a5/3*c . . . . | 2400 | 6 3 | 3 3 6 3 | 1 3 3 1 ------------------+------+-----------+---------------------+---------------- x . . . | 2 | 7200 * | 1 1 1 0 | 1 1 1 0 . . . x | 2 | * 3600 | 0 0 2 2 | 0 1 2 1 ------------------+------+-----------+---------------------+---------------- x3/2o . . | 3 | 3 0 | 2400 * * * | 1 1 0 0 x . o . *a5/3*c | 5 | 5 0 | * 1440 * * | 1 0 1 0 x . . x5*a | 10 | 5 5 | * * 1440 * | 0 1 1 0 . . o3x | 3 | 0 3 | * * * 2400 | 0 0 1 1 ------------------+------+-----------+---------------------+---------------- x3/2o3o . *a5/3*c ♦ 20 | 60 0 | 20 12 0 0 | 120 * * * x3/2o . x5*a ♦ 60 | 60 30 | 20 0 12 0 | * 120 * * x . o3x5*a5/3*c ♦ 60 | 60 60 | 0 12 12 20 | * * 120 * . o3o3x ♦ 4 | 0 6 | 0 0 0 4 | * * * 600
x3/2o3/2o3/2x5*a5/2*c . . . . | 2400 | 6 3 | 3 3 6 3 | 1 3 3 1 ----------------------+------+-----------+---------------------+---------------- x . . . | 2 | 7200 * | 1 1 1 0 | 1 1 1 0 . . . x | 2 | * 3600 | 0 0 2 2 | 0 1 2 1 ----------------------+------+-----------+---------------------+---------------- x3/2o . . | 3 | 3 0 | 2400 * * * | 1 1 0 0 x . o . *a5/2*c | 5 | 5 0 | * 1440 * * | 1 0 1 0 x . . x5*a | 10 | 5 5 | * * 1440 * | 0 1 1 0 . . o3/2x | 3 | 0 3 | * * * 2400 | 0 0 1 1 ----------------------+------+-----------+---------------------+---------------- x3/2o3/2o . *a5/2*c ♦ 20 | 60 0 | 20 12 0 0 | 120 * * * x3/2o . x5*a ♦ 60 | 60 30 | 20 0 12 0 | * 120 * * x . o3/2x5*a5/2*c ♦ 60 | 60 60 | 0 12 12 20 | * * 120 * . o3/2o3/2x ♦ 4 | 0 6 | 0 0 0 4 | * * * 600
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