This is the euclidean counterpart of the small cubicuboctahedron (socco) or small dodekicosidodecahedron saddid).

Incidence matrix according to Dynkin symbol

x6x3/2o6*a   (N→∞)

. .   .    | 6N |  2  2 | 2 1  1
-----------+----+-------+-------
x .   .    |  2 | 6N  * | 1 1  0
. x   .    |  2 |  * 6N | 1 0  1
-----------+----+-------+-------
x6x   .    | 12 |  6  6 | N *  *
x .   o6*a |  6 |  6  0 | * N  *
. x3/2o    |  3 |  0  3 | * * 2N

β3o6x   (N→∞)

both( . . . ) | 6N |  2  2 | 1  1 2
--------------+----+-------+-------
both( . . x ) |  2 | 6N  * | 1  0 1
sefa( β3o . ) |  2 |  * 6N | 0 1 1
--------------+----+-------+-------
both( . o6x ) |  6 |  6  0 | N  * *
      β3o .   ♦  3 |  0  3 | * 2N *
sefa( β3o6x ) | 12 |  6  6 | *  * N