a     b                          
   c                         g   
                          h     i
d     e                          
   f                             

This polychoron is (at least combinatorically) selfdual.

Incidence matrix

6 * | 2  2 1 | 2  4 2 | 3 2  a
* 3 | 0  4 2 | 2  4 4 | 4 2  g
----+--------+--------+----
2 0 | 6  * * | 1  2 0 | 2 1  ae q
1 1 | * 12 * | 1  1 1 | 2 1  ag q
1 1 | *  * 6 | 0  2 2 | 2 2  ai h
----+--------+--------+----
2 1 | 1  2 0 | 6  * * | 2 0  aeg qqq = verf(cube)
2 1 | 1  1 1 | * 12 * | 1 1  aeh qqh = verf(hip)
2 2 | 0  2 2 | *  * 6 | 1 1  ahbi qh(-q)h = verf(cho)
----+--------+--------+----
3 2 | 2  4 2 | 2  2 1 | 6 *  abfhi verf(chope)
4 2 | 2  4 4 | 0  4 2 | * 3  abdehi verf(garpop)