| by cells: | gaddid | id | quit sissid |
| wavathi | 120 | 120 | 120 |
- general polytopal classes:
- Wythoffian polychora
links
| Acronym | wavathi | ||||||||
| Name | sphenoverted triakishecatonicosachoron | ||||||||
| Circumradius | sqrt[5-sqrt(5)] = 1.662508 | ||||||||
| 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 wavathi is isomorphic to rawvathi, thereby interchanging pentagrams and pentagons, and replacing decagrams by decagons, respectively id by gid, quit sissid by tigid, and gaddid by saddid.
Likewise it is isomorphic to grawv ditathi, thereby replacing pentagons by pentagrams, and decagrams by decagons, thus id by gid, quit sissid by tigid, and gaddid by sidditdid.
Further it is isomorphic to swav ditathi, thereby replacing pentagrams by pentagons, thus only gaddid by gidditdid.
Incidence matrix according to Dynkin symbol
o5x3o5/2x5/3*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 . . o5/2x | 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 * . x3o5/2x5/3*b ♦ 60 | 60 60 | 0 20 12 12 | * * 120
o5x3/2o5/3x5/3*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 . . o5/3x | 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 * . x3/2o5/3x5/3*b ♦ 60 | 60 60 | 0 20 12 12 | * * 120
o5/4x3o5/2x5/3*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 . . o5/2x | 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 * . x3o5/2x5/3*b ♦ 60 | 60 60 | 0 20 12 12 | * * 120
o5/4x3/2o5/3x5/3*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 . . o5/3x | 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 * . x3/2o5/3x5/3*b ♦ 60 | 60 60 | 0 20 12 12 | * * 120
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