Acronym | rasishi | ||||||||||||||||
Name | rectified small stellated hecatonicosachoron | ||||||||||||||||
Cross sections |
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Circumradius | sqrt[(9+3 sqrt(5))/2] = 2.802517 | ||||||||||||||||
General of army | rahi | ||||||||||||||||
Colonel of regiment |
(is itself locally convex
– uniform polychoral members:
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Face vector | 1200, 3600, 2160, 240 | ||||||||||||||||
Confer |
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External links |
As abstract polytope rasishi is isomorphic to ragaghi, thereby exchanging the roles of pentagons and pentagrams, i.e. replacing doe by gissid.
Incidence matrix according to Dynkin symbol
o3o5x5/2o . . . . | 1200 ♦ 6 | 6 3 | 2 3 ----------+------+------+----------+-------- . . x . | 2 | 3600 | 2 1 | 1 2 ----------+------+------+----------+-------- . o5x . | 5 | 5 | 1440 * | 1 1 . . x5/2o | 5 | 5 | * 720 | 0 2 ----------+------+------+----------+-------- o3o5x . ♦ 20 | 30 | 12 0 | 120 * . o5x5/2o ♦ 30 | 60 | 12 12 | * 120
o3o5x5/3o . . . . | 1200 ♦ 6 | 6 3 | 2 3 ----------+------+------+----------+-------- . . x . | 2 | 3600 | 2 1 | 1 2 ----------+------+------+----------+-------- . o5x . | 5 | 5 | 1440 * | 1 1 . . x5/3o | 5 | 5 | * 720 | 0 2 ----------+------+------+----------+-------- o3o5x . ♦ 20 | 30 | 12 0 | 120 * . o5x5/3o ♦ 30 | 60 | 12 12 | * 120
o3o5/4x5/2o . . . . | 1200 ♦ 6 | 6 3 | 2 3 ------------+------+------+----------+-------- . . x . | 2 | 3600 | 2 1 | 1 2 ------------+------+------+----------+-------- . o5/4x . | 5 | 5 | 1440 * | 1 1 . . x5/2o | 5 | 5 | * 720 | 0 2 ------------+------+------+----------+-------- o3o5/4x . ♦ 20 | 30 | 12 0 | 120 * . o5/4x5/2o ♦ 30 | 60 | 12 12 | * 120
o3o5/4x5/3o . . . . | 1200 ♦ 6 | 6 3 | 2 3 ------------+------+------+----------+-------- . . x . | 2 | 3600 | 2 1 | 1 2 ------------+------+------+----------+-------- . o5/4x . | 5 | 5 | 1440 * | 1 1 . . x5/3o | 5 | 5 | * 720 | 0 2 ------------+------+------+----------+-------- o3o5/4x . ♦ 20 | 30 | 12 0 | 120 * . o5/4x5/3o ♦ 30 | 60 | 12 12 | * 120
o3/2o5x5/2o . . . . | 1200 ♦ 6 | 6 3 | 2 3 ------------+------+------+----------+-------- . . x . | 2 | 3600 | 2 1 | 1 2 ------------+------+------+----------+-------- . o5x . | 5 | 5 | 1440 * | 1 1 . . x5/2o | 5 | 5 | * 720 | 0 2 ------------+------+------+----------+-------- o3/2o5x . ♦ 20 | 30 | 12 0 | 120 * . o5x5/2o ♦ 30 | 60 | 12 12 | * 120
o3/2o5x5/3o . . . . | 1200 ♦ 6 | 6 3 | 2 3 ------------+------+------+----------+-------- . . x . | 2 | 3600 | 2 1 | 1 2 ------------+------+------+----------+-------- . o5x . | 5 | 5 | 1440 * | 1 1 . . x5/3o | 5 | 5 | * 720 | 0 2 ------------+------+------+----------+-------- o3/2o5x . ♦ 20 | 30 | 12 0 | 120 * . o5x5/3o ♦ 30 | 60 | 12 12 | * 120
o3/2o5/4x5/2o . . . . | 1200 ♦ 6 | 6 3 | 2 3 --------------+------+------+----------+-------- . . x . | 2 | 3600 | 2 1 | 1 2 --------------+------+------+----------+-------- . o5/4x . | 5 | 5 | 1440 * | 1 1 . . x5/2o | 5 | 5 | * 720 | 0 2 --------------+------+------+----------+-------- o3/2o5/4x . ♦ 20 | 30 | 12 0 | 120 * . o5/4x5/2o ♦ 30 | 60 | 12 12 | * 120
o3/2o5/4x5/3o . . . . | 1200 ♦ 6 | 6 3 | 2 3 --------------+------+------+----------+-------- . . x . | 2 | 3600 | 2 1 | 1 2 --------------+------+------+----------+-------- . o5/4x . | 5 | 5 | 1440 * | 1 1 . . x5/3o | 5 | 5 | * 720 | 0 2 --------------+------+------+----------+-------- o3/2o5/4x . ♦ 20 | 30 | 12 0 | 120 * . o5/4x5/3o ♦ 30 | 60 | 12 12 | * 120
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