| Acronym | getit xethi | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Name | great tritrigonal hexacositrishecatonicosachoron | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Circumradius | sqrt[8-3 sqrt(5)] = 1.136572 | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Colonel of regiment |
(is itself locally convex
– uniform polychoral members:
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As abstract polytope getit xethi is isomorphic to stut xethi, thereby replacing the decagrams by decagons and the pentagrams by pentagons, resp. replacing the sidtid by gidtid, gaddid by saddid, and quit gissid by tid.
Incidence matrix according to Dynkin symbol
o3o3x5/3x3*a5/2*c . . . . | 2400 | 6 3 | 3 3 3 6 | 1 1 3 3 ------------------+------+-----------+---------------------+---------------- . . x . | 2 | 7200 * | 1 0 1 1 | 1 0 1 1 . . . x | 2 | * 3600 | 0 2 0 2 | 0 1 2 1 ------------------+------+-----------+---------------------+---------------- o . x . *a5/2*c | 5 | 5 0 | 1440 * * * | 1 0 1 0 o . . x3*a | 3 | 0 3 | * 2400 * * | 0 1 1 0 . o3x . | 3 | 3 0 | * * 2400 * | 1 0 0 1 . . x5/3x | 10 | 5 5 | * * * 1440 | 0 0 1 1 ------------------+------+-----------+---------------------+---------------- o3o3x . *a5/2*c ♦ 20 | 60 0 | 12 0 20 0 | 120 * * * o3o . x3*a ♦ 4 | 0 6 | 0 4 0 0 | * 600 * * o . x5/3x3*a5/2*c ♦ 60 | 60 60 | 12 20 0 12 | * * 120 * . o3x5/3x ♦ 60 | 60 30 | 0 0 20 12 | * * * 120
o3o3/2x5/3x3/2*a5/3*c . . . . | 2400 | 6 3 | 3 3 3 6 | 1 1 3 3 ----------------------+------+-----------+---------------------+---------------- . . x . | 2 | 7200 * | 1 0 1 1 | 1 0 1 1 . . . x | 2 | * 3600 | 0 2 0 2 | 0 1 2 1 ----------------------+------+-----------+---------------------+---------------- o . x . *a5/3*c | 5 | 5 0 | 1440 * * * | 1 0 1 0 o . . x3/2*a | 3 | 0 3 | * 2400 * * | 0 1 1 0 . o3/2x . | 3 | 3 0 | * * 2400 * | 1 0 0 1 . . x5/3x | 10 | 5 5 | * * * 1440 | 0 0 1 1 ----------------------+------+-----------+---------------------+---------------- o3o3/2x . *a5/3*c ♦ 20 | 60 0 | 12 0 20 0 | 120 * * * o3o . x3/2*a ♦ 4 | 0 6 | 0 4 0 0 | * 600 * * o . x5/3x3/2*a5/3*c ♦ 60 | 60 60 | 12 20 0 12 | * * 120 * . o3/2x5/3x ♦ 60 | 60 30 | 0 0 20 12 | * * * 120
o3/2o3x5/3x3/2*a5/3*c . . . . | 2400 | 6 3 | 3 3 3 6 | 1 1 3 3 ----------------------+------+-----------+---------------------+---------------- . . x . | 2 | 7200 * | 1 0 1 1 | 1 0 1 1 . . . x | 2 | * 3600 | 0 2 0 2 | 0 1 2 1 ----------------------+------+-----------+---------------------+---------------- o . x . *a5/3*c | 5 | 5 0 | 1440 * * * | 1 0 1 0 o . . x3/2*a | 3 | 0 3 | * 2400 * * | 0 1 1 0 . o3x . | 3 | 3 0 | * * 2400 * | 1 0 0 1 . . x5/3x | 10 | 5 5 | * * * 1440 | 0 0 1 1 ----------------------+------+-----------+---------------------+---------------- o3/2o3x . *a5/3*c ♦ 20 | 60 0 | 12 0 20 0 | 120 * * * o3/2o . x3/2*a ♦ 4 | 0 6 | 0 4 0 0 | * 600 * * o . x5/3x3/2*a5/3*c ♦ 60 | 60 60 | 12 20 0 12 | * * 120 * . o3x5/3x ♦ 60 | 60 30 | 0 0 20 12 | * * * 120
o3/2o3/2x5/3x3*a5/2*c . . . . | 2400 | 6 3 | 3 3 3 6 | 1 1 3 3 ----------------------+------+-----------+---------------------+---------------- . . x . | 2 | 7200 * | 1 0 1 1 | 1 0 1 1 . . . x | 2 | * 3600 | 0 2 0 2 | 0 1 2 1 ----------------------+------+-----------+---------------------+---------------- o . x . *a5/2*c | 5 | 5 0 | 1440 * * * | 1 0 1 0 o . . x3*a | 3 | 0 3 | * 2400 * * | 0 1 1 0 . o3/2x . | 3 | 3 0 | * * 2400 * | 1 0 0 1 . . x5/3x | 10 | 5 5 | * * * 1440 | 0 0 1 1 ----------------------+------+-----------+---------------------+---------------- o3/2o3/2x . *a5/2*c ♦ 20 | 60 0 | 12 0 20 0 | 120 * * * o3/2o . x3*a ♦ 4 | 0 6 | 0 4 0 0 | * 600 * * o . x5/3x3*a5/2*c ♦ 60 | 60 60 | 12 20 0 12 | * * 120 * . o3/2x5/3x ♦ 60 | 60 30 | 0 0 20 12 | * * * 120
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