This complex polychoron can be considered to be the mutual Stott expansion either of x₂-3-o₂-3-o₂-4-o_p by o₂-3-o₂-3-x₂-4-o_p, 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. For p=2 that vertex figure clearly is just a sqare wedge (i.e. square || line). Those base edges thereof, which in here happen to become more general p-edges instead, then would be the bases of its triangles. I.e. the vertex figure in here (up to any scalings) has the structure of x_p   x₂ || o_p   x₂. This generalization however already allows to derive all its in here required elemental numbers. (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

x2-3-o2-3-x2-4-op

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