As abstract polytope girgikaike is isomorph to sirgikaike, therby replacing pentagons by pentagrams, respectively interchanging ike with gike as well as replacing peppy by stappy and rapescu by stiscu

It was found by "puffer fish" in summer 2024 as a possible edge-faceting of gikaike.

Incidence matrix

edge-faceting of gike || ike   → height = 1/2

12  * |  5  5  0 |  5  5 10 10  5  0 | 1  5  5  5  5 0
 * 12 |  0  5  5 |  0  0 10  5 10  5 | 0  1  5  5  5 1
------+----------+-------------------+----------------
 2  0 | 30  *  * |  2  2  2  2  0  0 | 1  2  2  2  1 0
 1  1 |  * 60  * |  0  0  2  2  2  0 | 0  1  1  2  2 0
 0  2 |  *  * 30 |  0  0  2  0  2  2 | 0  0  2  2  1 1
------+----------+-------------------+----------------
 3  0 |  3  0  0 | 20  *  *  *  *  * | 1  0  1  0  0 0
 5  0 |  5  0  0 |  * 12  *  *  *  * | 0  1  0  1  0 0  {5}
 2  2 |  1  2  1 |  *  * 60  *  *  * | 0  0  1  1  0 0
 2  1 |  1  2  0 |  *  *  * 60  *  * | 0  1  0  0  1 0
 1  2 |  0  2  1 |  *  *  *  * 60  * | 0  0  0  1  1 0
 0  3 |  0  0  3 |  *  *  *  *  * 20 | 0  0  1  0  0 1
------+----------+-------------------+----------------
12  0 | 30  0  0 | 20  0  0  0  0  0 | 1  *  *  *  * *  ike
 5  1 |  5  5  0 |  0  1  0  5  0  0 | * 12  *  *  * *  peppy
 3  3 |  3  3  3 |  1  0  3  0  0  1 | *  * 20  *  * *  trip
 5  5 |  5 10  5 |  0  1  5  0  5  0 | *  *  * 12  * *  rapescu
 2  2 |  1  4  1 |  0  0  0  2  2  0 | *  *  *  * 30 *  tet
 0 12 |  0  0 30 |  0  0  0  0  0 20 | *  *  *  *  * 1  gike