Despite the starpglass itself incorporates q-edges as well, the tegum product thereof resolves these into square faces in the sense of o || q || o. Thence this polyteron happens to be orbiform.

Incidence matrix according to Dynkin symbol

oxo(-x) xooo5/2ooxo&#xr

o...    o...5/2o...     & | 10 * |  2  4 0 | 1  2  8  2 |  4 4 1  4 | 2 2 2
.o..    .o..5/2.o..     & |  * 4 |  0 10 1 | 0 10 10  5 | 10 2 5  5 | 2 5 1
--------------------------+------+---------+------------+-----------+------
....    x...   ....     & |  2 0 | 10  * * | 1  0  4  0 |  2 4 0  2 | 2 1 2
oo..    oo..5/2oo..&#x  & |  1 1 |  * 40 * | 0  1  2  1 |  2 1 1  2 | 1 2 1
.x..    ....   ....     & |  0 2 |  *  * 2 ♦ 0 10  0  0 | 10 0 5  0 | 2 5 0
--------------------------+------+---------+------------+-----------+------
....    x...5/2o...     & |  5 0 |  5  0 0 | 2  *  *  * |  0 4 0  0 | 2 0 2
ox..    ....   ....     & |  1 2 |  0  2 1 | * 20  *  * |  2 0 1  0 | 1 2 0
....    xo..   ....     & |  2 1 |  1  2 0 | *  * 40  * |  1 1 0  1 | 1 1 1
oooo    oooo5/2oooo&#xr   |  2 2 |  0  4 0 | *  *  * 10 |  0 0 1  2 | 0 2 1
--------------------------+------+---------+------------+-----------+------
ox..    xo..   ....&#x  & ♦  2 2 |  1  4 1 | 0  2  2  0 | 20 * *  * | 1 1 0
....    xo..5/2oo..&#x  & ♦  5 1 |  5  5 0 | 1  0  5  0 |  * 8 *  * | 1 0 1
oxo(-x) ....   ....&#xr   ♦  2 4 |  0  8 2 | 0  4  0  2 |  * * 5  * | 0 2 0
....    xo(-x)o ...&#xr   ♦  4 2 |  2  8 0 | 0  0  4  2 |  * * * 10 | 0 1 1
--------------------------+------+---------+------------+-----------+------
ox..    xo..5/2oo..&#x  & ♦  5 2 |  5 10 1 | 1  5 10  0 |  5 2 0  0 | 4 * *
oxo(-x) xo(-x)o ...&#xr   ♦  4 4 |  2 16 2 | 0  8  8  4 |  4 0 2  2 | * 5 *
....    xooo5/2ooxo&#xr   ♦ 10 2 | 10 20 0 | 2  0 20  5 |  0 4 0  5 | * * 2