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| by cells: | gidditdid | giid | id | quit sissid | ti |
| swav ditathi | 120 | 0 | 120 | 120 | 0 |
| grawvathi | 0 | 120 | 120 | 0 | 120 |
- general polytopal classes:
- Wythoffian polychora
links
| Acronym | swav ditathi | ||||||||||||||||||
| Name | small sphenoverted ditrigonary triakishecatonicosachoron | ||||||||||||||||||
| Cross sections |
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| Circumradius | sqrt[(11+sqrt(5))/2] = 2.572554 | ||||||||||||||||||
| General of army | srahi | ||||||||||||||||||
| Colonel of regiment |
(is itself locally convex
– uniform polychoral members:
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| Face vector | 3600, 10800, 6000, 360 | ||||||||||||||||||
| Confer |
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As abstract polytope swav ditathi is isomorphic to grawv ditathi, thereby replacing both types of pentagons by pentagrams, and decagrams by decagons, respectively id by gid, quit sissid by tigid, and gidditdid by sidditdid.
Likewise it is isomorphic to rawvathi, thereby replacing tail-type pentagons only by pentagrams, while loop-type ones remain, and replacing decagrams by decagons too, thus id by gid, quit sissid by tigid, and gidditdid by saddid.
Further it is isomorphic to wavathi, thereby replacing only loop-type pentagons by pentagrams, thus only gidditdid by gaddid.
Incidence matrix according to Dynkin symbol
o5x3o5x5/3*b . . . . | 3600 | 4 2 | 2 2 4 1 | 1 2 2 -------------+------+-----------+--------------------+------------ . x . . | 2 | 7200 * | 1 1 1 0 | 1 1 1 . . . x | 2 | * 3600 | 0 0 2 1 | 0 1 2 -------------+------+-----------+--------------------+------------ o5x . . | 5 | 5 0 | 1440 * * * | 1 1 0 . x3o . | 3 | 3 0 | * 2400 * * | 1 0 1 . x . x5/3*b | 10 | 5 5 | * * 1440 * | 0 1 1 . . o5x | 5 | 0 5 | * * * 720 | 0 0 2 -------------+------+-----------+--------------------+------------ o5x3o . ♦ 30 | 60 0 | 12 20 0 0 | 120 * * o5x . x5/3*b ♦ 60 | 60 30 | 12 0 12 0 | * 120 * . x3o5x5/3*b ♦ 60 | 60 60 | 0 20 12 12 | * * 120
o5x3/2o5/4x5/3*b . . . . | 3600 | 4 2 | 2 2 4 1 | 1 2 2 -----------------+------+-----------+--------------------+------------ . x . . | 2 | 7200 * | 1 1 1 0 | 1 1 1 . . . x | 2 | * 3600 | 0 0 2 1 | 0 1 2 -----------------+------+-----------+--------------------+------------ o5x . . | 5 | 5 0 | 1440 * * * | 1 1 0 . x3/2o . | 3 | 3 0 | * 2400 * * | 1 0 1 . x . x5/3*b | 10 | 5 5 | * * 1440 * | 0 1 1 . . o5/4x | 5 | 0 5 | * * * 720 | 0 0 2 -----------------+------+-----------+--------------------+------------ o5x3/2o . ♦ 30 | 60 0 | 12 20 0 0 | 120 * * o5x . x5/3*b ♦ 60 | 60 30 | 12 0 12 0 | * 120 * . x3/2o5/4x5/3*b ♦ 60 | 60 60 | 0 20 12 12 | * * 120
o5/4x3o5x5/3*b . . . . | 3600 | 4 2 | 2 2 4 1 | 1 2 2 ---------------+------+-----------+--------------------+------------ . x . . | 2 | 7200 * | 1 1 1 0 | 1 1 1 . . . x | 2 | * 3600 | 0 0 2 1 | 0 1 2 ---------------+------+-----------+--------------------+------------ o5/4x . . | 5 | 5 0 | 1440 * * * | 1 1 0 . x3o . | 3 | 3 0 | * 2400 * * | 1 0 1 . x . x5/3*b | 10 | 5 5 | * * 1440 * | 0 1 1 . . o5x | 5 | 0 5 | * * * 720 | 0 0 2 ---------------+------+-----------+--------------------+------------ o5/4x3o . ♦ 30 | 60 0 | 12 20 0 0 | 120 * * o5/4x . x5/3*b ♦ 60 | 60 30 | 12 0 12 0 | * 120 * . x3o5x5/3*b ♦ 60 | 60 60 | 0 20 12 12 | * * 120
o5/4x3/2o5/4x5/3*b . . . . | 3600 | 4 2 | 2 2 4 1 | 1 2 2 -------------------+------+-----------+--------------------+------------ . x . . | 2 | 7200 * | 1 1 1 0 | 1 1 1 . . . x | 2 | * 3600 | 0 0 2 1 | 0 1 2 -------------------+------+-----------+--------------------+------------ o5/4x . . | 5 | 5 0 | 1440 * * * | 1 1 0 . x3/2o . | 3 | 3 0 | * 2400 * * | 1 0 1 . x . x5/3*b | 10 | 5 5 | * * 1440 * | 0 1 1 . . o5/4x | 5 | 0 5 | * * * 720 | 0 0 2 -------------------+------+-----------+--------------------+------------ o5/4x3/2o . ♦ 30 | 60 0 | 12 20 0 0 | 120 * * o5/4x . x5/3*b ♦ 60 | 60 30 | 12 0 12 0 | * 120 * . x3/2o5/4x5/3*b ♦ 60 | 60 60 | 0 20 12 12 | * * 120
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