This is an example for a reducible complex polyhedron. Its incidence matrix readily derives from those of its factors. Its real space embedding likewise is obtained as the duoprism of the respective embeddings of the factors.

Note that in here its second factor is a real space polygon only. Accordingly this 3-dimensional complex polyhedron is embeddable into an only 4-dimensional real space polychoron.

Incidence matrix according to Dynkin symbol

xp   x2-3-o2

.    .    .  | 3p | 1  2 | 2 1
------------+----+------+----
xp   .    .  |  p | 3  * | 2 0
.    x2   .  |  2 | * 3p | 1 1
------------+----+------+----
xp   x2   .  ♦ 2p | 2  p | 3 *
.    x2-3-o2 |  3 | 0  3 | * p