Acronym | gishi, gspD | |||||||||||||||||||||||||
Name |
great stellated hecatonicosachoron, greatened stellated polydodecahedron | |||||||||||||||||||||||||
Cross sections |
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Circumradius | (sqrt(5)-1)/2 = 0.618034 | |||||||||||||||||||||||||
Inradius | (sqrt(5)-1)/4 = 0.309017 | |||||||||||||||||||||||||
Density | 20 | |||||||||||||||||||||||||
General of army | ex | |||||||||||||||||||||||||
Colonel of regiment |
(is itself locally convex
– uniform polychoral members:
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Dual | gahi | |||||||||||||||||||||||||
Dihedral angles | ||||||||||||||||||||||||||
Face vector | 120, 720, 720, 120 | |||||||||||||||||||||||||
Confer |
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External links |
As abstract polytope gishi is isomorphic to gahi, thereby replacing gissid by doe, resp. replacing pentagrammal faces by pentagonal ones, resp. replacing pentagonal edge figures each by pentagrammal ones, resp. replacing ike vertex figures by gike ones.
Incidence matrix according to Dynkin symbol
o5o3o5/2x . . . . | 120 ♦ 12 | 30 | 20 ----------+-----+-----+-----+---- . . . x | 2 | 720 | 5 | 5 ----------+-----+-----+-----+---- . . o5/2x | 5 | 5 | 720 | 2 ----------+-----+-----+-----+---- . o3o5/2x ♦ 20 | 30 | 12 | 120
o5o3o5/3x . . . . | 120 ♦ 12 | 30 | 20 ----------+-----+-----+-----+---- . . . x | 2 | 720 | 5 | 5 ----------+-----+-----+-----+---- . . o5/3x | 5 | 5 | 720 | 2 ----------+-----+-----+-----+---- . o3o5/3x ♦ 20 | 30 | 12 | 120
o5o3/2o5/2x . . . . | 120 ♦ 12 | 30 | 20 ------------+-----+-----+-----+---- . . . x | 2 | 720 | 5 | 5 ------------+-----+-----+-----+---- . . o5/2x | 5 | 5 | 720 | 2 ------------+-----+-----+-----+---- . o3/2o5/2x ♦ 20 | 30 | 12 | 120
o5o3/2o5/3x . . . . | 120 ♦ 12 | 30 | 20 ------------+-----+-----+-----+---- . . . x | 2 | 720 | 5 | 5 ------------+-----+-----+-----+---- . . o5/3x | 5 | 5 | 720 | 2 ------------+-----+-----+-----+---- . o3/2o5/3x ♦ 20 | 30 | 12 | 120
o5/4o3o5/2x . . . . | 120 ♦ 12 | 30 | 20 ------------+-----+-----+-----+---- . . . x | 2 | 720 | 5 | 5 ------------+-----+-----+-----+---- . . o5/2x | 5 | 5 | 720 | 2 ------------+-----+-----+-----+---- . o3o5/2x ♦ 20 | 30 | 12 | 120
o5/4o3o5/3x . . . . | 120 ♦ 12 | 30 | 20 ------------+-----+-----+-----+---- . . . x | 2 | 720 | 5 | 5 ------------+-----+-----+-----+---- . . o5/3x | 5 | 5 | 720 | 2 ------------+-----+-----+-----+---- . o3o5/3x ♦ 20 | 30 | 12 | 120
o5/4o3/2o5/2x . . . . | 120 ♦ 12 | 30 | 20 --------------+-----+-----+-----+---- . . . x | 2 | 720 | 5 | 5 --------------+-----+-----+-----+---- . . o5/2x | 5 | 5 | 720 | 2 --------------+-----+-----+-----+---- . o3/2o5/2x ♦ 20 | 30 | 12 | 120
o5/4o3/2o5/3x . . . . | 120 ♦ 12 | 30 | 20 --------------+-----+-----+-----+---- . . . x | 2 | 720 | 5 | 5 --------------+-----+-----+-----+---- . . o5/3x | 5 | 5 | 720 | 2 --------------+-----+-----+-----+---- . o3/2o5/3x ♦ 20 | 30 | 12 | 120
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