This reducible complex polyhedron similarily can be embedded into the triprism (p,r,r)-tip (provided that p,r>2), then again selecting its vertices, its various base polygons (for according complex edges), and the subset of either those polygon pairings from the according duoprisms (for the respective complex faces).

Incidence matrix according to Dynkin symbol

xp   xr-4-o2

.    .    .  | pr2 | 1    2 |  2 1
------------+-----+--------+-----
xp   .    .  |  p  | r2   * |  2 0
.    xr   .  |  r  | *  2pr |  1 1
------------+-----+--------+-----
xp   xr   .  ♦ pr  | r    p | 2r *
.    xr-4-o2 ♦  r2 | 0   2r |  * p

xp   xr   xr

.    .    .  | pr2 | 1   1  1 | 1 1 1
------------+-----+----------+------
xp   .    .  |  p  | r2  *  * | 1 1 0
.    xr   .  |  r  | *  pr  * | 1 0 1
.    .    xr |  r  | *   * pr | 0 1 1
------------+-----+----------+------
xp   xr   .  ♦ pr  | r   p  0 | r * *
xp   .    xr ♦ pr  | r   0  p | * r *
.    xr   xr ♦  r2 | 0   r  r | * * p