Acronym ...
Name complex polyhedron xp   x3-3-o3
Circumradius sqrt[2+1/sin2(π/p)]
Face vector 8p, 8(p+1), p+8
Especially x3   x3-3-o3 (p=3)  
Confer
real space embedding:
({p},hex)-duoprism
general polytopal classes:
complex polytopes  

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.


Incidence matrix according to Dynkin symbol

xp   x3-3-o3

.    .    .  | 8p | 1  3 | 3 1
------------+----+------+----
xp   .    .  |  p | 8  * | 3 0
.    x3   .  |  3 | * 8p | 1 1
------------+----+------+----
xp   x3   .  ♦ 3p | 3  p | 8 *
.    x3-3-o3 ♦  8 | 0  8 | * p

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