As abstract polychoron it is isomorphic to gidtidagiid thereby replacing pentagons by pentagrams, as well as sidtid by gidtid, stip by pip, and siid by giid.

Incidence matrix according to Dynkin symbol

xx5/2oo3ox3*a&#x   → height = (sqrt(5)-1)/4 = 0.309017
(sidtid || siid)

o.5/2o.3o.3*a    | 20  * |  6  3  0  0 |  3  3  6  3  0  0  0 | 1  3  3  1 0
.o5/2.o3.o3*a    |  * 60 |  0  1  2  2 |  0  0  2  2  1  2  1 | 0  1  2  1 1
-----------------+-------+-------------+----------------------+-------------
x.   .. ..       |  2  0 | 60  *  *  * |  1  1  1  0  0  0  0 | 1  1  1  0 0
oo5/2oo3oo3*a&#x |  1  1 |  * 60  *  * |  0  0  2  2  0  0  0 | 0  1  2  1 0
.x   .. ..       |  0  2 |  *  * 60  * |  0  0  1  0  1  1  0 | 0  1  1  0 1
..   .. .x       |  0  2 |  *  *  * 60 |  0  0  0  1  0  1  1 | 0  0  1  1 1
-----------------+-------+-------------+----------------------+-------------
x.5/2o. ..       |  5  0 |  5  0  0  0 | 12  *  *  *  *  *  * | 1  1  0  0 0  {5/2}
x.   .. o.3*a    |  3  0 |  3  0  0  0 |  * 20  *  *  *  *  * | 1  0  1  0 0
xx   .. ..   &#x |  2  2 |  1  2  1  0 |  *  * 60  *  *  *  * | 0  1  1  0 0
..   .. ox   &#x |  1  2 |  0  2  0  1 |  *  *  * 60  *  *  * | 0  0  1  1 0
.x5/2.o ..       |  0  5 |  0  0  5  0 |  *  *  *  * 12  *  * | 0  1  0  0 1  {5/2}
.x   .. .x3*a    |  0  6 |  0  0  3  3 |  *  *  *  *  * 20  * | 0  0  1  0 1
..   .o3.x       |  0  3 |  0  0  0  3 |  *  *  *  *  *  * 20 | 0  0  0  1 1
-----------------+-------+-------------+----------------------+-------------
x.5/2o.3o.3*a    ♦ 20  0 | 60  0  0  0 | 12 20  0  0  0  0  0 | 1  *  *  * *
xx5/2oo ..   &#x ♦  5  5 |  5  5  5  0 |  1  0  5  0  1  0  0 | * 12  *  * *
xx   .. ox3*a&#x ♦  3  6 |  3  6  3  3 |  0  1  3  3  0  1  0 | *  * 20  * *
..   oo3ox   &#x ♦  1  3 |  0  3  0  3 |  0  0  0  3  0  0  1 | *  *  * 20 *
.x5/2.o3.x3*a    ♦  0 60 |  0  0 60 60 |  0  0  0  0 12 20 20 | *  *  *  * 1