Acronym | giddird |
Name |
great dirhombidodecahedron, compound of 12 stip |
Coxeter symbol | 2{;3,5;}[12{;5/2,2;}] |
© | |
Circumradius | sqrt[(15-2 sqrt(5))/20] = 0.725530 |
Vertex figure | 2[42,5/2] |
General of army | srid |
Colonel of regiment | (itself, although not being locally convex) |
External links |
As abstract polytope giddird is isomorphic to dird, thereby replacing pentagrams by pentagons, respectively stip by pip.
Vertices coincide by pairs. So either they can be considered separately (type A) or are identified (type B). Finally, instead of considering individual stip, it can likewise be seen as a compound of 2 (different handed) gikrid (type C).
(Type A) 120 | 2 1 | 2 1 || 1 -----+--------+-------++--- 2 | 120 * | 1 1 || 1 2 | * 60 | 2 0 || 1 -----+--------+-------++--- 4 | 2 2 | 60 * || 1 5 | 5 0 | * 24 || 1 -----+--------+-------++--- ♦ 10 | 10 5 | 5 2 || 12
(Type B) 60 | 4 2 | 4 2 || 2 -----+--------+-------++--- 2 | 120 * | 1 1 || 1 2 | * 60 | 2 0 || 1 -----+--------+-------++--- 4 | 2 2 | 60 * || 1 5 | 5 0 | * 24 || 1 -----+--------+-------++--- ♦ 10 | 10 5 | 5 2 || 12
(Type C) 120 | 2 1 | 2 1 || 1 -----+--------+-------++-- 2 | 120 * | 1 1 || 1 2 | * 60 | 2 0 || 1 -----+--------+-------++-- 4 | 2 2 | 60 * || 1 5 | 5 0 | * 24 || 1 -----+--------+-------++-- ♦ 60 | 60 30 | 30 12 || 2
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