⭳

No uniform realisation is possible. It occurs as faceting of the truncated octahedron (toe).

Incidence matrix according to Dynkin symbol

x3β4o

both( . . . ) | 24 |  1  1  2 | 2  2
--------------+----+----------+-----
both( x . . ) |  2 | 12  *  * | 2  0  x
both( . s4o ) |  2 |  * 12  * | 0  2  q
sefa( x3β . ) |  2 |  *  * 24 | 1  1  u
--------------+----+----------+-----
      x3β .   ♦  6 |  3  0  3 | 8  *
sefa( x3β4o ) |  4 |  0  2  2 | * 12

starting figure: x3x4o

β3x3β

both( . . . ) | 24 |  1  1  1  1 | 1 1  2
--------------+----+-------------+-------
both( . x . ) |  2 | 12  *  *  * | 1 1  0  x
both( s 2 s ) |  2 |  * 12  *  * | 0 0  2  q
sefa( β3x . ) |  2 |  *  * 12  * | 1 0  1  u
sefa( . x3β ) |  2 |  *  *  * 12 | 0 1  1  u
--------------+----+-------------+-------
      β3x     ♦  6 |  3  0  3  0 | 4 *  *
      . x3β   ♦  6 |  3  0  0  3 | * 4  *
sefa( β3x3β ) |  4 |  0  2  1  1 | * * 12

starting figure: x3x3x