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This quite small CRF polychoron (D4.17.1) was found by a HGS member calling himself "mr_e_man" in early 2026. The top-picture shows highlighted the non-trapezial circuit outlined by pip, cube, trip, and tet. It aught be mentioned too, that the distance between the 2 tips of the peppies in here just happen to be u=2.

It moreover allows for some augmentations too, still keeping convexity: Its external blend with pippy would yield its paraaugment, paupico (D4.17.2), which thereby joins coplanar peppy pairs into pedpies. Alternatively, by adjoining a cubpy, one could obtain its metaaugment, maupico (D4.17.3), which thereby joins coplanar squippy pairs into octs. And finally there is the according biaugmentation, baupico (D4.17.4).

Incidence matrix

4 * * * * * | 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 1 1 1 1 1 0 0 0 0 0 0
* 4 * * * * | 0 0 1 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 | 0 1 1 0 0 0 1 1 0 1 1 1 1 1 1 1 0 0 0 0 0 0 0 | 1 0 1 1 0 1 1 1 1 0 0 0
* * 2 * * * | 0 0 0 0 0 0 2 0 0 0 1 1 2 0 0 0 0 0 | 0 1 0 0 0 0 0 0 0 2 0 0 2 2 0 0 2 2 1 0 0 0 0 | 1 0 1 0 0 0 2 0 2 1 1 0
* * * 2 * * | 0 0 0 2 0 0 0 2 0 0 0 1 0 2 0 0 0 0 | 0 0 0 1 0 0 2 0 2 0 0 0 2 0 2 0 0 2 0 1 0 0 0 | 0 0 1 0 1 2 0 0 2 0 1 0
* * * * 4 * | 0 0 0 0 1 0 0 0 1 0 0 0 0 1 1 1 1 0 | 0 0 0 0 1 1 0 1 1 0 1 0 0 0 1 1 0 1 0 1 1 1 1 | 0 1 0 1 1 1 0 1 1 0 1 1
* * * * * 2 | 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0 0 2 1 | 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 2 1 2 2 0 0 2 1 | 0 0 0 0 0 0 1 1 2 1 2 1
------------+-------------------------------------+-----------------------------------------------+------------------------
2 0 0 0 0 0 | 2 * * * * * * * * * * * * * * * * * | 1 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 1 1 0 1 0 0 0 0 0 0 0
2 0 0 0 0 0 | * 2 * * * * * * * * * * * * * * * * | 1 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 1 0 1 0 0 0 0 0 0 0 0
1 1 0 0 0 0 | * * 4 * * * * * * * * * * * * * * * | 0 1 1 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 0 1 1 0 1 0 0 0 0 0 0
1 0 0 1 0 0 | * * * 4 * * * * * * * * * * * * * * | 0 0 0 1 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 1 0 1 1 0 0 0 0 0 0
1 0 0 0 1 0 | * * * * 4 * * * * * * * * * * * * * | 0 0 0 0 1 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 1 0 1 1 1 0 0 0 0 0 0
0 2 0 0 0 0 | * * * * * 2 * * * * * * * * * * * * | 0 0 1 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 | 1 0 0 1 0 0 1 1 0 0 0 0
0 1 1 0 0 0 | * * * * * * 4 * * * * * * * * * * * | 0 1 0 0 0 0 0 0 0 1 0 0 1 1 0 0 0 0 0 0 0 0 0 | 1 0 1 0 0 0 1 0 1 0 0 0
0 1 0 1 0 0 | * * * * * * * 4 * * * * * * * * * * | 0 0 0 0 0 0 1 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 | 0 0 1 0 0 1 0 0 1 0 0 0
0 1 0 0 1 0 | * * * * * * * * 4 * * * * * * * * * | 0 0 0 0 0 0 0 1 0 0 1 0 0 0 1 1 0 0 0 0 0 0 0 | 0 0 0 1 0 1 0 1 1 0 0 0
0 1 0 0 0 1 | * * * * * * * * * 4 * * * * * * * * | 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0 0 0 0 0 0 0 | 0 0 0 0 0 0 1 1 1 0 0 0
0 0 2 0 0 0 | * * * * * * * * * * 1 * * * * * * * | 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 | 1 0 0 0 0 0 2 0 0 1 0 0
0 0 1 1 0 0 | * * * * * * * * * * * 2 * * * * * * | 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 0 0 0 0 0 | 0 0 1 0 0 0 0 0 2 0 1 0
0 0 1 0 0 1 | * * * * * * * * * * * * 4 * * * * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 0 0 0 0 | 0 0 0 0 0 0 1 0 1 1 1 0
0 0 0 1 1 0 | * * * * * * * * * * * * * 4 * * * * | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 1 0 0 0 | 0 0 0 0 1 1 0 0 1 0 1 0
0 0 0 0 2 0 | * * * * * * * * * * * * * * 2 * * * | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 | 0 1 0 0 1 0 0 0 0 0 1 1
0 0 0 0 2 0 | * * * * * * * * * * * * * * * 2 * * | 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 | 0 1 0 1 0 0 0 1 0 0 0 1
0 0 0 0 1 1 | * * * * * * * * * * * * * * * * 4 * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 1 | 0 0 0 0 0 0 0 1 1 0 1 1
0 0 0 0 0 2 | * * * * * * * * * * * * * * * * * 1 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 | 0 0 0 0 0 0 0 0 0 1 2 1
------------+-------------------------------------+-----------------------------------------------+------------------------
4 0 0 0 0 0 | 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 * * * * * * * * * * * * * * * * * * * * * * | 1 1 0 0 0 0 0 0 0 0 0 0
2 2 1 0 0 0 | 1 0 2 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 | * 2 * * * * * * * * * * * * * * * * * * * * * | 1 0 1 0 0 0 0 0 0 0 0 0
2 2 0 0 0 0 | 0 1 2 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | * * 2 * * * * * * * * * * * * * * * * * * * * | 1 0 0 1 0 0 0 0 0 0 0 0
2 0 0 1 0 0 | 1 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * * 2 * * * * * * * * * * * * * * * * * * * | 0 0 1 0 1 0 0 0 0 0 0 0
2 0 0 0 2 0 | 1 0 0 0 2 0 0 0 0 0 0 0 0 0 1 0 0 0 | * * * * 2 * * * * * * * * * * * * * * * * * * | 0 1 0 0 1 0 0 0 0 0 0 0
2 0 0 0 2 0 | 0 1 0 0 2 0 0 0 0 0 0 0 0 0 0 1 0 0 | * * * * * 2 * * * * * * * * * * * * * * * * * | 0 1 0 1 0 0 0 0 0 0 0 0
1 1 0 1 0 0 | 0 0 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | * * * * * * 4 * * * * * * * * * * * * * * * * | 0 0 1 0 0 1 0 0 0 0 0 0
1 1 0 0 1 0 | 0 0 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 | * * * * * * * 4 * * * * * * * * * * * * * * * | 0 0 0 1 0 1 0 0 0 0 0 0
1 0 0 1 1 0 | 0 0 0 1 1 0 0 0 0 0 0 0 0 1 0 0 0 0 | * * * * * * * * 4 * * * * * * * * * * * * * * | 0 0 0 0 1 1 0 0 0 0 0 0
0 2 2 0 0 0 | 0 0 0 0 0 1 2 0 0 0 1 0 0 0 0 0 0 0 | * * * * * * * * * 2 * * * * * * * * * * * * * | 1 0 0 0 0 0 1 0 0 0 0 0
0 2 0 0 2 0 | 0 0 0 0 0 1 0 0 2 0 0 0 0 0 0 1 0 0 | * * * * * * * * * * 2 * * * * * * * * * * * * | 0 0 0 1 0 0 0 1 0 0 0 0
0 2 0 0 0 1 | 0 0 0 0 0 1 0 0 0 2 0 0 0 0 0 0 0 0 | * * * * * * * * * * * 2 * * * * * * * * * * * | 0 0 0 0 0 0 1 1 0 0 0 0
0 1 1 1 0 0 | 0 0 0 0 0 0 1 1 0 0 0 1 0 0 0 0 0 0 | * * * * * * * * * * * * 4 * * * * * * * * * * | 0 0 1 0 0 0 0 0 1 0 0 0
0 1 1 0 0 1 | 0 0 0 0 0 0 1 0 0 1 0 0 1 0 0 0 0 0 | * * * * * * * * * * * * * 4 * * * * * * * * * | 0 0 0 0 0 0 1 0 1 0 0 0
0 1 0 1 1 0 | 0 0 0 0 0 0 0 1 1 0 0 0 0 1 0 0 0 0 | * * * * * * * * * * * * * * 4 * * * * * * * * | 0 0 0 0 0 1 0 0 1 0 0 0
0 1 0 0 1 1 | 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 1 0 | * * * * * * * * * * * * * * * 4 * * * * * * * | 0 0 0 0 0 0 0 1 1 0 0 0
0 0 2 0 0 1 | 0 0 0 0 0 0 0 0 0 0 1 0 2 0 0 0 0 0 | * * * * * * * * * * * * * * * * 2 * * * * * * | 0 0 0 0 0 0 1 0 0 1 0 0
0 0 1 1 1 1 | 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 0 | * * * * * * * * * * * * * * * * * 4 * * * * * | 0 0 0 0 0 0 0 0 1 0 1 0
0 0 1 0 0 2 | 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 1 | * * * * * * * * * * * * * * * * * * 2 * * * * | 0 0 0 0 0 0 0 0 0 1 1 0
0 0 0 1 2 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 | * * * * * * * * * * * * * * * * * * * 2 * * * | 0 0 0 0 1 0 0 0 0 0 1 0
0 0 0 0 4 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 | * * * * * * * * * * * * * * * * * * * * 1 * * | 0 1 0 0 0 0 0 0 0 0 0 1
0 0 0 0 2 2 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 | * * * * * * * * * * * * * * * * * * * * * 2 * | 0 0 0 0 0 0 0 0 0 0 1 1
0 0 0 0 2 1 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 | * * * * * * * * * * * * * * * * * * * * * * 2 | 0 0 0 0 0 0 0 1 0 0 0 1
------------+-------------------------------------+-----------------------------------------------+------------------------
4 4 2 0 0 0 | 2 2 4 0 0 2 4 0 0 0 1 0 0 0 0 0 0 0 | 1 2 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 * * * * * * * * * * *  pip
4 0 0 0 4 0 | 2 2 0 0 4 0 0 0 0 0 0 0 0 0 2 2 0 0 | 1 0 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | * 1 * * * * * * * * * *  cube
2 2 1 1 0 0 | 1 0 2 2 0 0 2 2 0 0 0 1 0 0 0 0 0 0 | 0 1 0 1 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 | * * 2 * * * * * * * * *  peppy
2 2 0 0 2 0 | 0 1 2 0 2 1 0 0 2 0 0 0 0 0 0 1 0 0 | 0 0 1 0 0 1 0 2 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | * * * 2 * * * * * * * *  trip
2 0 0 1 2 0 | 1 0 0 2 2 0 0 0 0 0 0 0 0 2 1 0 0 0 | 0 0 0 1 1 0 0 0 2 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | * * * * 2 * * * * * * *  squippy
1 1 0 1 1 0 | 0 0 1 1 1 0 0 1 1 0 0 0 0 1 0 0 0 0 | 0 0 0 0 0 0 1 1 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | * * * * * 4 * * * * * *  tet
0 2 2 0 0 1 | 0 0 0 0 0 1 2 0 0 2 1 0 2 0 0 0 0 0 | 0 0 0 0 0 0 0 0 0 1 0 1 0 2 0 0 1 0 0 0 0 0 0 | * * * * * * 2 * * * * *  squippy
0 2 0 0 2 1 | 0 0 0 0 0 1 0 0 2 2 0 0 0 0 0 1 2 0 | 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 2 0 0 0 0 0 0 1 | * * * * * * * 2 * * * *  squippy
0 1 1 1 1 1 | 0 0 0 0 0 0 1 1 1 1 0 1 1 1 0 0 1 0 | 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 1 0 0 0 0 0 | * * * * * * * * 4 * * *  squippy
0 0 2 0 0 2 | 0 0 0 0 0 0 0 0 0 0 1 0 4 0 0 0 0 1 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 0 0 0 | * * * * * * * * * 1 * *  tet
0 0 1 1 2 2 | 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 2 1 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 0 1 0 | * * * * * * * * * * 2 *  trip
0 0 0 0 4 2 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 4 1 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 | * * * * * * * * * * * 1  trip