| Acronym | sidpixhi | ||||||||||||||||||||||||||||
| Name |
small disprismatohexacosihecatonicosachoron, runcinated hecatonicosachoron, runcinated hexacosachoron | ||||||||||||||||||||||||||||
| Cross sections |
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| Circumradius | 3+sqrt(5) = 5.236068 | ||||||||||||||||||||||||||||
| Vertex figure |
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| General of army | (is itself convex) | ||||||||||||||||||||||||||||
| Colonel of regiment |
(is itself locally convex
– uniform polychoral members:
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| Confer |
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External links |
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As abstract polytope sidpixhi is isomorphic to quidpixhi, thereby replacing the pentagons by pentagrams, resp. replacing doe by gissid and pip by stip.
Incidence matrix according to Dynkin symbol
x3o3o5x . . . . | 2400 | 3 3 | 3 6 3 | 1 3 3 1 --------+------+-----------+----------------+----------------- x . . . | 2 | 3600 * | 2 2 0 | 1 2 1 0 . . . x | 2 | * 3600 | 0 2 2 | 0 1 2 1 --------+------+-----------+----------------+----------------- x3o . . | 3 | 3 0 | 2400 * * | 1 1 0 0 x . . x | 4 | 2 2 | * 3600 * | 0 1 1 0 . . o5x | 5 | 0 5 | * * 1440 | 0 0 1 1 --------+------+-----------+----------------+----------------- x3o3o . ♦ 4 | 6 0 | 4 0 0 | 600 * * * x3o . x ♦ 6 | 6 3 | 2 3 0 | * 1200 * * x . o5x ♦ 10 | 5 10 | 0 5 2 | * * 720 * . o3o5x ♦ 20 | 0 30 | 0 0 12 | * * * 120
x3o3/2o5/4x . . . . | 2400 | 3 3 | 3 6 3 | 1 3 3 1 ------------+------+-----------+----------------+----------------- x . . . | 2 | 3600 * | 2 2 0 | 1 2 1 0 . . . x | 2 | * 3600 | 0 2 2 | 0 1 2 1 ------------+------+-----------+----------------+----------------- x3o . . | 3 | 3 0 | 2400 * * | 1 1 0 0 x . . x | 4 | 2 2 | * 3600 * | 0 1 1 0 . . o5/4x | 5 | 0 5 | * * 1440 | 0 0 1 1 ------------+------+-----------+----------------+----------------- x3o3/2o . ♦ 4 | 6 0 | 4 0 0 | 600 * * * x3o . x ♦ 6 | 6 3 | 2 3 0 | * 1200 * * x . o5/4x ♦ 10 | 5 10 | 0 5 2 | * * 720 * . o3/2o5/4x ♦ 20 | 0 30 | 0 0 12 | * * * 120
x3/2o3o5/4x . . . . | 2400 | 3 3 | 3 6 3 | 1 3 3 1 ------------+------+-----------+----------------+----------------- x . . . | 2 | 3600 * | 2 2 0 | 1 2 1 0 . . . x | 2 | * 3600 | 0 2 2 | 0 1 2 1 ------------+------+-----------+----------------+----------------- x3/2o . . | 3 | 3 0 | 2400 * * | 1 1 0 0 x . . x | 4 | 2 2 | * 3600 * | 0 1 1 0 . . o5/4x | 5 | 0 5 | * * 1440 | 0 0 1 1 ------------+------+-----------+----------------+----------------- x3/2o3o . ♦ 4 | 6 0 | 4 0 0 | 600 * * * x3/2o . x ♦ 6 | 6 3 | 2 3 0 | * 1200 * * x . o5/4x ♦ 10 | 5 10 | 0 5 2 | * * 720 * . o3o5/4x ♦ 20 | 0 30 | 0 0 12 | * * * 120
x3/2o3/2o5x . . . . | 2400 | 3 3 | 3 6 3 | 1 3 3 1 ------------+------+-----------+----------------+----------------- x . . . | 2 | 3600 * | 2 2 0 | 1 2 1 0 . . . x | 2 | * 3600 | 0 2 2 | 0 1 2 1 ------------+------+-----------+----------------+----------------- x3/2o . . | 3 | 3 0 | 2400 * * | 1 1 0 0 x . . x | 4 | 2 2 | * 3600 * | 0 1 1 0 . . o5x | 5 | 0 5 | * * 1440 | 0 0 1 1 ------------+------+-----------+----------------+----------------- x3/2o3/2o . ♦ 4 | 6 0 | 4 0 0 | 600 * * * x3/2o . x ♦ 6 | 6 3 | 2 3 0 | * 1200 * * x . o5x ♦ 10 | 5 10 | 0 5 2 | * * 720 * . o3/2o5x ♦ 20 | 0 30 | 0 0 12 | * * * 120
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