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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Dihedral angles | |||||||||||||||||||||||||||||
Face vector | 2400, 7200, 7440, 2640 | ||||||||||||||||||||||||||||
Confer |
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External links |
As abstract polytope sidpixhi is isomorphic to quidpixhi, thereby replacing the pentagons by pentagrams, resp. replacing doe by gissid and pip by stip.
Note that sidpixhi can be thought of as the external blend of 1 tex + 600 tetatuts + 1200 tricufs + 720 peppyps + 120 ikadoes. This decomposition is described as the degenerate segmentoteron xx3xo3oo5ox&#x. – Alternatively it can be decomposed into 1 rahi + 600 hexes + 1200 trippies + 720 pafs + 120 doaids according to ox3oo3xo5ox&#x.
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 snubbed forms: β3o3o5x, x3o3o5β, β3o3o5β
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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