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Acronymsnid
TOCID symbolsID
Namesnubdodecahedron,
snubicosidodecahedron
VRML
©
Circumradiussqrt[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 /
VRML
General of army(is itself convex)
Colonel of regiment(is itself locally convex– no other uniform polyhedral members)
Dihedral angles
  • between {3} and {3}:   arccos([cbrt(u+v)+cbrt(u-v)+1/3]/3) = 164.175366°
  • between {3} and {5}:   ≈152.930°
where
u = -2 (49+27 sqrt(5))/27v = 2 sqrt[2 (93+49 sqrt(5))/3]/3
Face vector60, 150, 92
Confer
compounds:
dissid  
External
links
hedrondude  wikipedia  polytopewiki  mathworld  quickfur

As abstract polytope snid is isomorphic togosid,gisid, andgirsid, 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 toDynkin symbol

s3s5sdemi( . . . ) |60 |  1  2  2 |  1  1  3--------------+----+----------+---------      s 2 s  2 | 30  *  * |  0  0  2sefa( s3s . ) |  2 |  * 60  * |  1  0  1sefa( . s5s ) |  2 |  *  * 60 |  0  1  1--------------+----+----------+---------      s3s .  3 |  0  3  0 | 20  *  *      . s5s  5 |  0  0  5 |  * 12  *sefa( s3s5s ) |  3 |  1  1  1 |  *  * 60starting figure:x3x5x

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