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  [3^{4},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 
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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