This polychoron classifies as wild, because each pentagon of the base doe shares its edges with a lacing square and a triangle of an according stiscu each, and that tripple of incident faces would all be corealmic.

Incidence matrix according to Dynkin symbol

reduced( ox5/2xx5oo&#x, by .x5/2.x .. )   → height = (1+sqrt(5))/4 = 0.809017
(did || doe)

30  * |  4  2  0 |  2  2  1  4  0 | 1  2  2 0
 * 20 |  0  3  3 |  0  0  3  6  3 | 0  3  3 1
------+----------+----------------+----------
 2  0 | 60  *  * |  1  1  0  1  0 | 1  1  1 0
 1  1 |  * 60  * |  0  0  1  2  0 | 0  2  1 0
 0  2 |  *  * 30 |  0  0  1  2  2 | 0  2  2 1
------+----------+----------------+----------
 5  0 |  5  0  0 | 12  *  *  *  * | 1  1  0 0  {5/2}
 5  0 |  5  0  0 |  * 12  *  *  * | 1  0  1 0  {5}
 1  2 |  0  2  1 |  *  * 30  *  * | 0  2  0 0
 2  2 |  1  2  1 |  *  *  * 60  * | 0  1  1 0
 0  5 |  0  0  5 |  *  *  *  * 12 | 0  0  1 1  {5}
------+----------+----------------+----------
30  0 | 60  0  0 | 12 12  0  0  0 | 1  *  * *  did
 5  5 |  5 10  5 |  1  0  5  5  0 | * 12  * *  stiscu
 5  5 |  5  5  5 |  0  1  0  5  1 | *  * 12 *  pip
 0 20 |  0  0 30 |  0  0  0  0 12 | *  *  * 1  doe