No uniform realisation is possible. It occurs as faceting of the truncated dodecahedron (tid).

Incidence matrix according to Dynkin symbol

o3β5x

both( . . . ) | 60 |  1  2  2 |  1  2  2
--------------+----+----------+---------
both( . . x ) |  2 | 30  *  * |  0  2  0
sefa( o3β . ) |  2 |  * 60  * |  1  0  1
sefa( . β5x ) |  2 |  *  * 60 |  0  1  1
--------------+----+----------+---------
      o3β .   ♦  3 |  0  3  0 | 20  *  *
      . β5x   ♦ 10 |  5  0  5 |  * 12  *
sefa( o3β5x ) |  4 |  0  2  2 |  *  * 30

starting figure: o3x5x