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

Incidence matrix according to Dynkin symbol

oo3/2ox3xx5*a&#x   → height = (1+sqrt(5))/4 = 0.809017
(gidtid || giid)

o.3/2o.3o.5*a    | 20  * |  6  3  0  0 |  3  3  3  6  0  0  0 | 1  1  3  3 0
.o3/2.o3.o5*a    |  * 60 |  0  1  2  2 |  0  0  2  2  1  1  2 | 0  1  1  2 1
-----------------+-------+-------------+----------------------+-------------
..   ..  x.      |  2  0 | 60  *  *  * |  1  1  0  1  0  0  0 | 1  0  1  1 0
oo3/2oo3oo5*a&#x |  1  1 |  * 60  *  * |  0  0  2  2  0  0  0 | 0  1  1  2 0
..   .x ..       |  0  2 |  *  * 60  * |  0  0  1  0  1  0  1 | 0  1  0  1 1
..   .. .x       |  0  2 |  *  *  * 60 |  0  0  0  1  0  1  1 | 0  0  1  1 1
-----------------+-------+-------------+----------------------+-------------
o.   .. x.5*a    |  5  0 |  5  0  0  0 | 12  *  *  *  *  *  * | 1  0  1  0 0
..   o.3x.       |  3  0 |  3  0  0  0 |  * 20  *  *  *  *  * | 1  0  0  1 0
..   ox ..   &#x |  1  2 |  0  2  1  0 |  *  * 60  *  *  *  * | 0  1  0  1 0
..   .. xx   &#x |  2  2 |  1  2  0  1 |  *  *  * 60  *  *  * | 0  0  1  1 0
.o3/2.x ..       |  0  3 |  0  0  3  0 |  *  *  *  * 20  *  * | 0  1  0  0 1
.o   .. .x5*a    |  0  5 |  0  0  0  5 |  *  *  *  *  * 12  * | 0  0  1  0 1
..   .x3.x       |  0  6 |  0  0  3  3 |  *  *  *  *  *  * 20 | 0  0  0  1 1
-----------------+-------+-------------+----------------------+-------------
o.3/2o.3x.5*a    ♦ 20  0 | 60  0  0  0 | 12 20  0  0  0  0  0 | 1  *  *  * *
oo3/2ox ..   &#x ♦  1  3 |  0  3  3  0 |  0  0  3  0  1  0  0 | * 20  *  * *
oo   .. xx5*a&#x ♦  5  5 |  5  5  0  5 |  1  0  0  5  0  1  0 | *  * 12  * *
..   ox3xx   &#x ♦  3  6 |  3  6  3  3 |  0  1  3  3  0  0  1 | *  *  * 20 *
.o3/2.x3.x5*a    ♦  0 60 |  0  0 60 60 |  0  0  0  0 20 12 20 | *  *  *  * 1