Acronym | sided |
TOCID symbol | sIDE* |
Name |
snub icosidodecadodecahedron, dagon |
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Circumradius |
sqrt[(2ρ-1)/(ρ-1)] = 1.126898
where ρ = (cbrt[9-sqrt(69)]+cbrt[9+sqrt(69)])/cbrt(18) = 1.324718 is the plastic number, the only real solution of x^{3}-x-1=0 |
Vertex figure | [5/3,3^{3},5,3] |
Colonel of regiment | (is itself not locally convex, but no other uniform polyhedral members) |
Confer | |
External links |
As abstract polytope sided is isomorphic to gisdid, thereby replacing (prograde) pentagons by prograde pentagrams, while retrrograde pentagrams keep unchanged.
Incidence matrix according to Dynkin symbol
s5/3s3s5*a demi( . . . ) | 60 | 2 2 2 | 1 1 1 3 -------------------+----+----------+------------ sefa( s5/3s . ) | 2 | 60 * * | 1 0 0 1 sefa( s . s5*a ) | 2 | * 60 * | 0 1 0 1 sefa( . s3s ) | 2 | * * 60 | 0 0 1 1 -------------------+----+----------+------------ s5/3s . ♦ 5 | 5 0 0 | 12 * * * s . s5*a ♦ 5 | 0 5 0 | * 12 * * . s3s ♦ 3 | 0 0 3 | * * 20 * sefa( s5/3s3s5*a ) | 3 | 1 1 1 | * * * 60 starting figure: x5/3x3x5*a
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