As abstract polytope tigikaike is automorph, therby interchanging pentagrams with pentagons, resp. tiggy with ti and stiscu with rapescu.

It is quite remarkable that gikaike allows for some of the same operations as regulars do: this polychoron is nothing but the truncation operation being applied to it.

It happens, that it is an edge-faceting of tissidtixhi. (Note that sidtixhi itself is a sishi regiment member, which in turn had been the regimement of gikaike.)

Incidence matrix

tiggy || pseudo (u,x)-ri || pseudo (x,u)-ri || ti   → all heights = 1/2

60  *  *  * |  1  2   2  0  0  0   0  0  0 |  2  1  2  2  1  0  0  0  0  0 | 1  1  2  1  0 0
 * 60  *  * |  0  0   2  2  1  0   0  0  0 |  0  0  2  2  2  2  0  0  0  0 | 0  1  2  2  0 0
 *  * 60  * |  0  0   0  0  1  2   2  0  0 |  0  0  0  2  0  2  2  2  0  0 | 0  0  2  2  1 0
 *  *  * 60 |  0  0   0  0  0  0   2  2  1 |  0  0  0  0  0  2  2  1  2  1 | 0  0  2  1  1 1
------------+------------------------------+-------------------------------+----------------
 2  0  0  0 | 30  *   *  *  *  *   *  *  * |  2  0  0  2  0  0  0  0  0  0 | 1  0  2  1  0 0
 2  0  0  0 |  * 60   *  *  *  *   *  *  * |  1  1  1  0  0  0  0  0  0  0 | 1  1  1  0  0 0
 1  1  0  0 |  *  * 120  *  *  *   *  *  * |  0  0  1  1  1  0  0  0  0  0 | 0  1  1  1  0 0
 0  2  0  0 |  *  *   * 60  *  *   *  *  * |  0  0  1  0  1  1  0  0  0  0 | 0  1  1  1  0 0
 0  1  1  0 |  *  *   *  * 60  *   *  *  * |  0  0  0  2  0  2  0  0  0  0 | 0  0  2  2  0 0
 0  0  2  0 |  *  *   *  *  * 60   *  *  * |  0  0  0  1  0  0  1  1  0  0 | 0  0  1  1  1 0
 0  0  1  1 |  *  *   *  *  *  * 120  *  * |  0  0  0  0  0  1  1  1  0  0 | 0  0  1  1  1 0
 0  0  0  2 |  *  *   *  *  *  *   * 60  * |  0  0  0  0  0  0  1  0  1  1 | 0  0  1  0  1 1
 0  0  0  2 |  *  *   *  *  *  *   *  * 30 |  0  0  0  0  0  2  0  0  2  0 | 0  0  2  1  0 1
------------+------------------------------+-------------------------------+----------------
 6  0  0  0 |  3  3   0  0  0  0   0  0  0 | 20  *  *  *  *  *  *  *  *  * | 1  0  1  0  0 0
 5  0  0  0 |  0  5   0  0  0  0   0  0  0 |  * 12  *  *  *  *  *  *  *  * | 1  1  0  0  0 0  {5/2}
 2  2  0  0 |  0  1   2  1  0  0   0  0  0 |  *  * 60  *  *  *  *  *  *  * | 0  1  1  0  0 0
 2  2  2  0 |  1  0   2  0  2  1   0  0  0 |  *  *  * 60  *  *  *  *  *  * | 0  0  1  1  0 0
 1  2  0  0 |  0  0   2  1  0  0   0  0  0 |  *  *  *  * 60  *  *  *  *  * | 0  1  0  1  0 0
 0  2  2  2 |  0  0   0  1  2  0   2  0  1 |  *  *  *  *  * 60  *  *  *  * | 0  0  1  1  0 0
 0  0  2  2 |  0  0   0  0  0  1   2  1  0 |  *  *  *  *  *  * 60  *  *  * | 0  0  1  0  1 0
 0  0  2  1 |  0  0   0  0  0  1   2  0  0 |  *  *  *  *  *  *  * 60  *  * | 0  0  0  1  1 0
 0  0  0  6 |  0  0   0  0  0  0   0  3  3 |  *  *  *  *  *  *  *  * 20  * | 0  0  1  0  0 1
 0  0  0  5 |  0  0   0  0  0  0   0  5  0 |  *  *  *  *  *  *  *  *  * 12 | 0  0  0  0  1 1  {5}
------------+------------------------------+-------------------------------+----------------
60  0  0  0 | 30 60   0  0  0  0   0  0  0 | 20 12  0  0  0  0  0  0  0  0 | 1  *  *  *  * *  tiggy
 5  5  0  0 |  0  5  10  5  0  0   0  0  0 |  0  1  5  0  5  0  0  0  0  0 | * 12  *  *  * *  stiscu
 6  6  6  6 |  3  3   6  3  6  3   6  3  3 |  1  0  3  3  0  3  3  0  1  0 | *  * 20  *  * *  toe
 2  4  4  2 |  1  0   4  2  4  2   4  0  1 |  0  0  0  2  2  2  0  2  0  0 | *  *  * 30  * *  tut
 0  0  5  5 |  0  0   0  0  0  5  10  5  0 |  0  0  0  0  0  0  5  5  0  1 | *  *  *  * 12 *  rapescu
 0  0  0 60 |  0  0   0  0  0  0   0 60 30 |  0  0  0  0  0  0  0  0 20 12 | *  *  *  *  * 1  ti