No uniform realisation is possible. It occurs as faceting of the truncated tetrahedron (tut).

Incidence matrix according to Dynkin symbol

x3β3o

both( . . . ) | 12 | 1  2  2 | 2 1 2
--------------+----+---------+------
both( x . . ) |  2 | 6  *  * | 2 0 0
sefa( x3β . ) |  2 | * 12  * | 1 0 1
sefa( . β3o ) |  2 | *  * 12 | 0 1 1
--------------+----+---------+------
      x3β .   ♦  6 | 3  3  0 | 4 * *
        β3o   ♦  3 | 0  0  3 | * 4 *
sefa( x3β3o ) |  4 | 0  2  2 | * * 6

starting figure: x3x3o

o3/2β3x

both( .   . . ) | 12 | 1  2  2 | 1 2 2
----------------+----+---------+------
both( .   . x ) |  2 | 6  *  * | 0 2 0
sefa( o3/2β . ) |  2 | * 12  * | 1 0 1
sefa( .   β3x ) |  2 | *  * 12 | 0 1 1
----------------+----+---------+------
      o3/2β .   ♦  3 | 0  3  0 | 4 * *
      .   β3x   ♦  6 | 3  0  3 | * 4 *
sefa( o3/2β3x ) |  4 | 0  2  2 | * * 6

starting figure: o3/2x3x