Acronym | snid |
TOCID symbol | sID |
Name |
snub dodecahedron, snub icosidodecahedron |
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Circumradius | sqrt[162+42 sqrt(5)+6 cbrt[20448+9140 sqrt(5)+12 sqrt(7137+3192 sqrt(5))]+6 cbrt[20448+9140 sqrt(5)-12 sqrt(7137+3192 sqrt(5))]]/12 = 2.155837 |
Vertex figure | [34,5] |
Snub derivation |
|
General of army | (is itself convex) |
Colonel of regiment | (is itself locally convex – no other uniform polyhedral members) |
Dihedral angles |
u = -2 (49+27 sqrt(5))/27 v = 2 sqrt[2 (93+49 sqrt(5))/3]/3 |
Face vector | 60, 150, 92 |
Confer | |
External links |
As abstract polytope snid is isomorphic to gosid, gisid, and girsid, thereby replacing prograde icosahedral triangles and pentagons respectively by prograde icosahedral triangles and (prograde) pentagrams, by prograde icosahedral triangles and retrograde pentagrams, by retrrograde icosahedral triangles and retrograde pentagrams.
Incidence matrix according to Dynkin symbol
s3s5s demi( . . . ) | 60 | 1 2 2 | 1 1 3 --------------+----+----------+--------- s 2 s ♦ 2 | 30 * * | 0 0 2 sefa( s3s . ) | 2 | * 60 * | 1 0 1 sefa( . s5s ) | 2 | * * 60 | 0 1 1 --------------+----+----------+--------- s3s . ♦ 3 | 0 3 0 | 20 * * . s5s ♦ 5 | 0 0 5 | * 12 * sefa( s3s5s ) | 3 | 1 1 1 | * * 60 starting figure: x3x5x
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