Acronym | righi | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
Name | rectified great hecatonicosachoron | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
Cross sections |
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Circumradius | sqrt[(5+sqrt(5))/2] = 1.902113 | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
General of army | rox | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
Colonel of regiment |
(is itself locally convex
– uniform polychoral members:
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Face vector | 720, 3600, 2160, 240 | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
Confer |
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External links |
As abstract polytope righi is isomorphic to ragashi, thereby interchanging the roles of pentagrams and pentagons, resp. replacing sissid by gad.
Incidence matrix according to Dynkin symbol
o5x5/2o5o . . . . | 720 ♦ 10 | 5 10 | 5 2 ----------+-----+------+----------+-------- . x . . | 2 | 3600 | 1 2 | 2 1 ----------+-----+------+----------+-------- o5x . . | 5 | 5 | 720 * | 2 0 . x5/2o . | 5 | 5 | * 1440 | 1 1 ----------+-----+------+----------+-------- o5x5/2o . ♦ 30 | 60 | 12 12 | 120 * . x5/2o5o ♦ 12 | 30 | 0 12 | * 120
o5x5/2o5/4o . . . . | 720 ♦ 10 | 5 10 | 5 2 ------------+-----+------+----------+-------- . x . . | 2 | 3600 | 1 2 | 2 1 ------------+-----+------+----------+-------- o5x . . | 5 | 5 | 720 * | 2 0 . x5/2o . | 5 | 5 | * 1440 | 1 1 ------------+-----+------+----------+-------- o5x5/2o . ♦ 30 | 60 | 12 12 | 120 * . x5/2o5/4o ♦ 12 | 30 | 0 12 | * 120
o5x5/3o5o . . . . | 720 ♦ 10 | 5 10 | 5 2 ----------+-----+------+----------+-------- . x . . | 2 | 3600 | 1 2 | 2 1 ----------+-----+------+----------+-------- o5x . . | 5 | 5 | 720 * | 2 0 . x5/3o . | 5 | 5 | * 1440 | 1 1 ----------+-----+------+----------+-------- o5x5/3o . ♦ 30 | 60 | 12 12 | 120 * . x5/3o5o ♦ 12 | 30 | 0 12 | * 120
o5x5/3o5/4o . . . . | 720 ♦ 10 | 5 10 | 5 2 ------------+-----+------+----------+-------- . x . . | 2 | 3600 | 1 2 | 2 1 ------------+-----+------+----------+-------- o5x . . | 5 | 5 | 720 * | 2 0 . x5/3o . | 5 | 5 | * 1440 | 1 1 ------------+-----+------+----------+-------- o5x5/3o . ♦ 30 | 60 | 12 12 | 120 * . x5/3o5/4o ♦ 12 | 30 | 0 12 | * 120
o5/4x5/2o5o . . . . | 720 ♦ 10 | 5 10 | 5 2 ------------+-----+------+----------+-------- . x . . | 2 | 3600 | 1 2 | 2 1 ------------+-----+------+----------+-------- o5/4x . . | 5 | 5 | 720 * | 2 0 . x5/2o . | 5 | 5 | * 1440 | 1 1 ------------+-----+------+----------+-------- o5/4x5/2o . ♦ 30 | 60 | 12 12 | 120 * . x5/2o5o ♦ 12 | 30 | 0 12 | * 120
o5/4x5/2o5/4o . . . . | 720 ♦ 10 | 5 10 | 5 2 --------------+-----+------+----------+-------- . x . . | 2 | 3600 | 1 2 | 2 1 --------------+-----+------+----------+-------- o5/4x . . | 5 | 5 | 720 * | 2 0 . x5/2o . | 5 | 5 | * 1440 | 1 1 --------------+-----+------+----------+-------- o5/4x5/2o . ♦ 30 | 60 | 12 12 | 120 * . x5/2o5/4o ♦ 12 | 30 | 0 12 | * 120
o5/4x5/3o5o . . . . | 720 ♦ 10 | 5 10 | 5 2 ------------+-----+------+----------+-------- . x . . | 2 | 3600 | 1 2 | 2 1 ------------+-----+------+----------+-------- o5/4x . . | 5 | 5 | 720 * | 2 0 . x5/3o . | 5 | 5 | * 1440 | 1 1 ------------+-----+------+----------+-------- o5/4x5/3o . ♦ 30 | 60 | 12 12 | 120 * . x5/3o5o ♦ 12 | 30 | 0 12 | * 120
o5/4x5/3o5/4o . . . . | 720 ♦ 10 | 5 10 | 5 2 --------------+-----+------+----------+-------- . x . . | 2 | 3600 | 1 2 | 2 1 --------------+-----+------+----------+-------- o5/4x . . | 5 | 5 | 720 * | 2 0 . x5/3o . | 5 | 5 | * 1440 | 1 1 --------------+-----+------+----------+-------- o5/4x5/3o . ♦ 30 | 60 | 12 12 | 120 * . x5/3o5/4o ♦ 12 | 30 | 0 12 | * 120
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