Here vertices, edges and pentagrams are coincident by 3, the pentagons are coincident with the {10/2}, resp. the dids are coincident with the 2dids. And even the 3does look localy like a 3-cover as well.

Incidence matrix according to Dynkin symbol

o5x5/2x5/2o5/2*b

. .   .   .      | 3600 ♦    4    2 |    2    4    2   1 |   2   1   2
-----------------+------+-----------+--------------------+------------
. x   .   .      |    2 | 7200    * |    1    1    1   0 |   1   1   1
. .   x   .      |    2 |    * 3600 |    0    2    0   1 |   1   0   2
-----------------+------+-----------+--------------------+------------
o5x   .   .      |    5 |    5    0 | 1440    *    *   * |   1   1   0
. x5/2x   .      |   10 |    5    5 |    * 1440    *   * |   1   0   1
. x   .   o5/2*b |    5 |    5    0 |    *    * 1440   * |   0   1   1
. .   x5/2o      |    5 |    0    5 |    *    *    * 720 |   0   0   2
-----------------+------+-----------+--------------------+------------
o5x5/2x   .      ♦   60 |   60   30 |   12   12    0   0 | 120   *   *
o5x   .   o5/2*b ♦   30 |   60    0 |   12    0   12   0 |   * 120   *
. x5/2x5/2o5/2*b ♦   60 |   60   60 |    0   12   12  12 |   *   * 120

β5o5/2x5o

both( . .   . . ) | 3600 ♦    4    2 |    2    2   1    4 |   1   2   2
------------------+------+-----------+--------------------+------------
both( . .   x . ) |    2 | 7200    * |    1    1   0    1 |   1   1   1
sefa( β5o   . . ) |    2 |    * 3600 |    0    0   1    2 |   0   2   1
------------------+------+-----------+--------------------+------------
both( . o5/2x . ) |    5 |    5    0 | 1440    *   *    * |   1   1   0
both( . .   x5o ) |    5 |    5    0 |    * 1440   *    * |   1   0   1
      β5o   . .   |    5 |    0    5 |    *    * 720    * |   0   2   0 {5/2}
sefa( β5o5/2x . ) |   10 |    5    5 |    *    *   * 1440 |   0   1   1 {10/2}
------------------+------+-----------+--------------------+------------
both( . o5/2x5o ) ♦   30 |   60    0 |   12   12   0    0 | 120   *   *
      β5o5/2x .   ♦   60 |   60   60 |   12    0  12   12 |   * 120   *
sefa( β5o5/2x5o ) ♦   60 |   60   30 |    0   12   0   12 |   *   * 120

starting figure: x5o5/2x5o