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
Confer	rahrie
External links

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