This complex polychoron can be considered to be the mutual Stott expansion either of x_p-4-o₂-3-o₂-3-o₂ by o_p-4-o₂-3-x₂-3-o₂, or the other way round. Accordingly the new vertex count is (in the first view) just the product of the former vertex count with the edge count of its vertex figure.

In order to derive the other total counts it is best done by considering the new vertex figure. Note, that in here the well-known techniques, derived for real space polytopes, applies directly too (at least within its measure-free sense), because all the nodes of the to be considered subdiagram have indices 2 only, which surely is enough for the here being asked for counts thereof. (The remaining numbers of the incidence matrix then can easily be derived by means of the general incidence matrix relation.)

Incidence matrix according to Dynkin symbol

xp-4-o2-3-x2-3-o2

.    .    .    .  | 6p4 |   2    4  |  1    4   2   2  |  2  2  1 
-----------------+-----+-----------+-----------------+----------
xp   .    .    .  |  p  | 12p3   *  |  1    2   0   0  |  2  1  0 
.    .    x2   .  |  2  |   *  12p4 |  0    1   1   1  |  1  1  1 
-----------------+-----+-----------+-----------------+----------
xp-4-o2   .    .  ♦  p2 |  2p    0  | 6p2   *   *   *  |  2  0  0 
xp   .    x2   .  ♦ 2p  |   2    p  |  *  12p3  *   *  |  1  1  0 
.    o2-3-x2   .  |  3  |   0    3  |  *    *  4p4  *  |  1  0  1 
.    .    x2-3-o2 |  3  |   0    3  |  *    *   *  4p4 |  0  1  1 
-----------------+-----+-----------+-----------------+----------
xp-4-o2-3-x2   .  ♦ 3p3 |  6p2  3p3 | 3p   3p2  p3  0  | 4p  *  * 
xp   .    x2-3-o2 ♦ 3p  |   3   3p  |  0    3   0   p  |  * 4p3 * 
.    o2-3-x2-3-o2 ♦  6  |   0   12  |  0    0   4   4  |  *  *  p4