Acronym snic
TOCID symbol sCO
Name snub cube,
snub cuboctahedron
 
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Circumradius sqrt[(10+cbrt[199+3 sqrt(33)]+cbrt[199-3 sqrt(33)])/12] = 1.343713
Vertex figure [34,4]
Snub derivation
Coordinates (C1, C2, C3)   & all even permutations, all even changes of sign   & all odd permutations, all odd changes of sign
where
C1 = sqrt[(4-c1+c2)/12] = 0.337754,
C2 = sqrt[(2+c1-c2)/12] = 0.621226,
C3 = sqrt[(4+c3+c4)/12] = 1.14261,
and
c1 = cbrt[3 sqrt(33)+17],
c2 = cbrt[3 sqrt(33)-17],
c3 = cbrt[199+3 sqrt(33)],
c4 = cbrt[199-3 sqrt(33)]
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(2 [cbrt(-19+3 sqrt(33))+cbrt(-19-3 sqrt(33))+1/2]/9) = 153.234588°
  • between {3} and {4}:   ≈142.983°
Confer
compounds:
disco  
External
links
hedrondude   wikipedia   mathworld   quickfur

Incidence matrix according to Dynkin symbol

s3s4s

demi( . . . ) | 24 |  1  2  2 | 1 1  3
--------------+----+----------+-------
      s 2 s     2 | 12  *  * | 0 0  2
sefa( s3s . ) |  2 |  * 24  * | 1 0  1
sefa( . s4s ) |  2 |  *  * 24 | 0 1  1
--------------+----+----------+-------
      s3s .     3 |  0  3  0 | 8 *  *
      . s4s     4 |  0  0  4 | * 6  *
sefa( s3s4s ) |  3 |  1  1  1 | * * 24

starting figure: x3x4x

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