Acronym | gixhi | ||||||
Name | great hexacosihecatonicosachoron | ||||||
Cross sections |
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Circumradius | sqrt[(59-25 sqrt(5))/2] = 1.244649 | ||||||
Colonel of regiment |
(is itself locally convex
– uniform polychoral members:
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Face vector | 3600, 7200, 4320, 720 | ||||||
Confer |
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External links |
As abstract polytope gixhi is isomorphic to xhi, thereby replacing the pentagrams by pentagons, resp. replacing tiggy by ti.
Incidence matrix according to Dynkin symbol
o3x3x5/2o . . . . | 3600 | 2 2 | 1 4 1 | 2 2 ----------+------+-----------+---------------+-------- . x . . | 2 | 3600 * | 1 2 0 | 2 1 . . x . | 2 | * 3600 | 0 2 1 | 1 2 ----------+------+-----------+---------------+-------- o3x . . | 3 | 3 0 | 1200 * * | 2 0 . x3x . | 6 | 3 3 | * 2400 * | 1 1 . . x5/2o | 5 | 0 5 | * * 720 | 0 2 ----------+------+-----------+---------------+-------- o3x3x . ♦ 12 | 12 6 | 4 4 0 | 600 * . x3x5/2o ♦ 60 | 30 60 | 0 20 12 | * 120
o3x3x5/3o . . . . | 3600 | 2 2 | 1 4 1 | 2 2 ----------+------+-----------+---------------+-------- . x . . | 2 | 3600 * | 1 2 0 | 2 1 . . x . | 2 | * 3600 | 0 2 1 | 1 2 ----------+------+-----------+---------------+-------- o3x . . | 3 | 3 0 | 1200 * * | 2 0 . x3x . | 6 | 3 3 | * 2400 * | 1 1 . . x5/3o | 5 | 0 5 | * * 720 | 0 2 ----------+------+-----------+---------------+-------- o3x3x . ♦ 12 | 12 6 | 4 4 0 | 600 * . x3x5/3o ♦ 60 | 30 60 | 0 20 12 | * 120
o3/2x3x5/2o . . . . | 3600 | 2 2 | 1 4 1 | 2 2 ------------+------+-----------+---------------+-------- . x . . | 2 | 3600 * | 1 2 0 | 2 1 . . x . | 2 | * 3600 | 0 2 1 | 1 2 ------------+------+-----------+---------------+-------- o3/2x . . | 3 | 3 0 | 1200 * * | 2 0 . x3x . | 6 | 3 3 | * 2400 * | 1 1 . . x5/2o | 5 | 0 5 | * * 720 | 0 2 ------------+------+-----------+---------------+-------- o3/2x3x . ♦ 12 | 12 6 | 4 4 0 | 600 * . x3x5/2o ♦ 60 | 30 60 | 0 20 12 | * 120
o3/2x3x5/3o . . . . | 3600 | 2 2 | 1 4 1 | 2 2 ------------+------+-----------+---------------+-------- . x . . | 2 | 3600 * | 1 2 0 | 2 1 . . x . | 2 | * 3600 | 0 2 1 | 1 2 ------------+------+-----------+---------------+-------- o3/2x . . | 3 | 3 0 | 1200 * * | 2 0 . x3x . | 6 | 3 3 | * 2400 * | 1 1 . . x5/3o | 5 | 0 5 | * * 720 | 0 2 ------------+------+-----------+---------------+-------- o3/2x3x . ♦ 12 | 12 6 | 4 4 0 | 600 * . x3x5/3o ♦ 60 | 30 60 | 0 20 12 | * 120
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