Acronym socco
TOCID symbol bCO
Name small cubicuboctahedron
 
 © ©
Circumradius sqrt[5+2 sqrt(2)]/2 = 1.398966
Vertex figure [3/2,8,4,8]
Snub derivation
Coordinates ((1+sqrt(2))/2, 1/2, 1/2)   & all permutations, all changes of sign
General of army sirco
Colonel of regiment sirco
Dihedral angles
  • between {4} and {8}:   90°
  • between {3} and {8}:   arccos(1/sqrt(3)) = 54.735610°
Confer
compounds:
rahrie  
External
links
hedrondude   wikipedia   WikiChoron   mathworld

As abstract polytope socco is isomorphic to gocco, thereby replacing octagons by octagrams. – As such socco is a lieutenant.

The small cubicuboctahedron is an edge-faceting of the small rhombicuboctahedron (sirco).


Incidence matrix according to Dynkin symbol

x3/2o4x4*a

.   . .    | 24 |  2  2 | 1 2 1
-----------+----+-------+------
x   . .    |  2 | 24  * | 1 1 0
.   . x    |  2 |  * 24 | 0 1 1
-----------+----+-------+------
x3/2o .    |  3 |  3  0 | 8 * *
x   . x4*a |  8 |  4  4 | * 6 *
.   o4x    |  4 |  0  4 | * * 6

x4/3o3x4*a

.   . .    | 24 |  2  2 | 1 2 1
-----------+----+-------+------
x   . .    |  2 | 24  * | 1 1 0
.   . x    |  2 |  * 24 | 0 1 1
-----------+----+-------+------
x4/3o .    |  4 |  4  0 | 6 * *
x   . x4*a |  8 |  4  4 | * 6 *
.   o3x    |  3 |  0  3 | * * 8

β3o4x

both( . . . ) | 24 |  2  2 | 1 1 2
--------------+----+-------+------
both( . . x ) |  2 | 24  * | 0 1 1
sefa( β3o . ) |  2 |  * 24 | 1 0 1
--------------+----+-------+------
      β3o .     3 |  0  3 | 8 * *
both( . o4x ) |  4 |  4  0 | * 6 *
sefa( β3o4x ) |  8 |  4  4 | * * 6

starting figure: x3o4x

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