Acronym | sirghi | ||||||||||||||||||
Name | small rhombated great hecatonicosachoron | ||||||||||||||||||
Circumradius | sqrt[7+2 sqrt(5)] = 3.387054 | ||||||||||||||||||
Colonel of regiment |
(is itself locally convex
– uniform polychoral members:
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Face vector | 3600, 10800, 7200, 960 | ||||||||||||||||||
Confer |
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External links |
As abstract polytope sirghi is isomorphic to sirgashi, thereby interchanging pentagrams and pentagons, resp. replacing pip by stip. – As such sirghi is a lieutenant.
Incidence matrix according to Dynkin symbol
x5o5/2x5o . . . . | 3600 | 2 4 | 1 4 2 2 | 2 2 1 ----------+------+-----------+--------------------+------------ x . . . | 2 | 3600 * | 1 2 0 0 | 2 1 0 . . x . | 2 | * 7200 | 0 1 1 1 | 1 1 1 ----------+------+-----------+--------------------+------------ x5o . . | 5 | 5 0 | 720 * * * | 2 0 0 x . x . | 4 | 2 2 | * 3600 * * | 1 1 0 . o5/2x . | 5 | 0 5 | * * 1440 * | 1 0 1 . . x5o | 5 | 0 5 | * * * 1440 | 0 1 1 ----------+------+-----------+--------------------+------------ x5o5/2x . ♦ 60 | 60 60 | 12 30 12 0 | 120 * * x . x5o ♦ 10 | 5 10 | 0 5 0 2 | * 720 * . o5/2x5o ♦ 30 | 0 60 | 0 0 12 12 | * * 120 snubbed forms: β5o5/2x5o
x5o5/2x5/4o . . . . | 3600 | 2 4 | 1 4 2 2 | 2 2 1 ------------+------+-----------+--------------------+------------ x . . . | 2 | 3600 * | 1 2 0 0 | 2 1 0 . . x . | 2 | * 7200 | 0 1 1 1 | 1 1 1 ------------+------+-----------+--------------------+------------ x5o . . | 5 | 5 0 | 720 * * * | 2 0 0 x . x . | 4 | 2 2 | * 3600 * * | 1 1 0 . o5/2x . | 5 | 0 5 | * * 1440 * | 1 0 1 . . x5/4o | 5 | 0 5 | * * * 1440 | 0 1 1 ------------+------+-----------+--------------------+------------ x5o5/2x . ♦ 60 | 60 60 | 12 30 12 0 | 120 * * x . x5/4o ♦ 10 | 5 10 | 0 5 0 2 | * 720 * . o5/2x5/4o ♦ 30 | 0 60 | 0 0 12 12 | * * 120
x5/4o5/3x5o . . . . | 3600 | 2 4 | 1 4 2 2 | 2 2 1 ------------+------+-----------+--------------------+------------ x . . . | 2 | 3600 * | 1 2 0 0 | 2 1 0 . . x . | 2 | * 7200 | 0 1 1 1 | 1 1 1 ------------+------+-----------+--------------------+------------ x5/4o . . | 5 | 5 0 | 720 * * * | 2 0 0 x . x . | 4 | 2 2 | * 3600 * * | 1 1 0 . o5/3x . | 5 | 0 5 | * * 1440 * | 1 0 1 . . x5o | 5 | 0 5 | * * * 1440 | 0 1 1 ------------+------+-----------+--------------------+------------ x5/4o5/3x . ♦ 60 | 60 60 | 12 30 12 0 | 120 * * x . x5o ♦ 10 | 5 10 | 0 5 0 2 | * 720 * . o5/3x5o ♦ 30 | 0 60 | 0 0 12 12 | * * 120
x5/4o5/3x5/4o . . . . | 3600 | 2 4 | 1 4 2 2 | 2 2 1 --------------+------+-----------+--------------------+------------ x . . . | 2 | 3600 * | 1 2 0 0 | 2 1 0 . . x . | 2 | * 7200 | 0 1 1 1 | 1 1 1 --------------+------+-----------+--------------------+------------ x5/4o . . | 5 | 5 0 | 720 * * * | 2 0 0 x . x . | 4 | 2 2 | * 3600 * * | 1 1 0 . o5/3x . | 5 | 0 5 | * * 1440 * | 1 0 1 . . x5/4o | 5 | 0 5 | * * * 1440 | 0 1 1 --------------+------+-----------+--------------------+------------ x5/4o5/3x . ♦ 60 | 60 60 | 12 30 12 0 | 120 * * x . x5/4o ♦ 10 | 5 10 | 0 5 0 2 | * 720 * . o5/3x5/4o ♦ 30 | 0 60 | 0 0 12 12 | * * 120
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