| by cells: | did | gaddid | quit sissid |
| gwavathi | 120 | 120 | 120 |
- general polytopal classes:
- Wythoffian polychora
links
| Acronym | gwavathi | ||||||||
| Name | great sphenoverted triakishecatonicosachoron | ||||||||
| Circumradius | sqrt[10-4 sqrt(5)] = 1.027486 | ||||||||
| Colonel of regiment |
(is itself locally convex
– uniform polychoral members:
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| Face vector | 3600, 10800, 5520, 360 | ||||||||
| Confer |
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As abstract polytope gwavathi is isomorphic to srawvathi, thereby interchanging the roles of pentagons and pentagrams, and replacing decagrams by decagons, respectively quit sissid by tigid and gaddid by saddid.
Incidence matrix according to Dynkin symbol
o5x5/2o3x5/3*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 . x5/2o . | 5 | 5 0 | * 1440 * * | 1 0 1 . x . x5/3*b | 10 | 5 5 | * * 1440 * | 0 1 1 . . o3x | 3 | 0 3 | * * * 1200 | 0 0 2 ---------------+------+-----------+---------------------+------------ o5x5/2o . ♦ 30 | 60 0 | 12 12 0 0 | 120 * * o5x . x5/3*b ♦ 60 | 60 30 | 12 0 12 0 | * 120 * . x5/2o3x5/3*b ♦ 60 | 60 60 | 0 12 12 20 | * * 120
o5x5/3o3/2x5/3*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 . x5/3o . | 5 | 5 0 | * 1440 * * | 1 0 1 . x . x5/3*b | 10 | 5 5 | * * 1440 * | 0 1 1 . . o3/2x | 3 | 0 3 | * * * 1200 | 0 0 2 -----------------+------+-----------+---------------------+------------ o5x5/3o . ♦ 30 | 60 0 | 12 12 0 0 | 120 * * o5x . x5/3*b ♦ 60 | 60 30 | 12 0 12 0 | * 120 * . x5/3o3/2x5/3*b ♦ 60 | 60 60 | 0 12 12 20 | * * 120
o5/4x5/2o3x5/3*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 . x5/2o . | 5 | 5 0 | * 1440 * * | 1 0 1 . x . x5/3*b | 10 | 5 5 | * * 1440 * | 0 1 1 . . o3x | 3 | 0 3 | * * * 1200 | 0 0 2 -----------------+------+-----------+---------------------+------------ o5/4x5/2o . ♦ 30 | 60 0 | 12 12 0 0 | 120 * * o5/4x . x5/3*b ♦ 60 | 60 30 | 12 0 12 0 | * 120 * . x5/2o3x5/3*b ♦ 60 | 60 60 | 0 12 12 20 | * * 120
o5/4x5/3o3/2x5/3*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 . x5/3o . | 5 | 5 0 | * 1440 * * | 1 0 1 . x . x5/3*b | 10 | 5 5 | * * 1440 * | 0 1 1 . . o3/2x | 3 | 0 3 | * * * 1200 | 0 0 2 -------------------+------+-----------+---------------------+------------ o5/4x5/3o . ♦ 30 | 60 0 | 12 12 0 0 | 120 * * o5/4x . x5/3*b ♦ 60 | 60 30 | 12 0 12 0 | * 120 * . x5/3o3/2x5/3*b ♦ 60 | 60 60 | 0 12 12 20 | * * 120
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