No uniform realisation is possible. It occurs as faceting of the prismatorhombated hecatonicosachoron (prahi).

Incidence matrix according to Dynkin symbol

β3x3o5β

both( . . . . ) | 7200 |    2    2    2    2 |    1    2    1    1    4    3    2 |   1    2   1   1    3
----------------+------+---------------------+------------------------------------+----------------------
both( . x . . ) |    2 | 7200    *    *    * |    1    1    0    0    1    0    1 |   1    1   0   1    1
both( s .2. s ) |    2 |    * 7200    *    * |    0    0    0    0    2    2    0 |   0    1   1   0    2
sefa( β3x . . ) |    2 |    *    * 7200    * |    0    1    0    1    1    0    0 |   1    1   0   0    1
sefa( . . o5β ) |    2 |    *    *    * 7200 |    0    0    1    0    0    1    1 |   0    0   1   1    1
----------------+------+---------------------+------------------------------------+----------------------
both( . x3o . ) |    3 |    3    0    0    0 | 2400    *    *    *    *    *    * |   1    0   0   1    0
      β3x . .   ♦    6 |    3    0    3    0 |    * 2400    *    *    *    *    * |   1    1   0   0    0
      . . o5β   ♦    5 |    0    0    0    5 |    *    * 1440    *    *    *    * |   0    0   1   1    0
sefa( β3x3o . ) |    3 |    0    0    3    0 |    *    *    * 2400    *    *    * |   1    0   0   0    1
sefa( β3x 2 β ) |    4 |    1    2    1    0 |    *    *    *    * 7200    *    * |   0    1   0   0    1
sefa( β 2 o5β ) |    3 |    0    2    0    1 |    *    *    *    *    * 7200    * |   0    0   1   0    1
sefa( . x3o5β ) |    6 |    3    0    0    3 |    *    *    *    *    *    * 2400 |   0    0   0   1    1
----------------+------+---------------------+------------------------------------+----------------------
      β3x3o .   ♦   12 |   12    0   12    0 |    4    4    0    4    0    0    0 | 600    *   *   *    *
      β3x 2 β   ♦   12 |    6    6    6    0 |    0    2    0    0    6    0    0 |   * 1200   *   *    *
      β 2 o5β   ♦   10 |    0   10    0   10 |    0    0    2    0    0   10    0 |   *    * 720   *    *
      . x3o5β   ♦   60 |   60    0    0   60 |   20    0   12    0    0    0   20 |   *    *   * 120    *
sefa( β3x3o5β ) ♦    9 |    3    6    3    3 |    0    0    0    1    3    3    1 |   *    *   *   * 2400

starting figure: x3x3o5x