Looks like a compound of id and a non-uniform faceting of that one, o3β5o, which features again its triangles, but connects those by golden (x,f)-rectangles and then connects these f-edges to f-pentagrams. But in fact the 2 conincident triangles here become Grünbaumian doubly wound hexagons, and the pentagons blend with the inscribed f-pentagrams into complete pentagons. Vertices here coincide by four and x-edges coincide by pairs.

Incidence matrix according to Dynkin symbol

x3(-x)5f

.   .  . | 120 |  1  1  1 |  1  1  1
---------+-----+----------+---------
x   .  . |   2 | 60  *  * |  1  1  0
.  -x  . |   2 |  * 60  * |  1  0  1
.   .  f |   2 |  *  * 60 |  0  1  1
---------+-----+----------+---------
x3(-x) . |   6 |  3  3  0 | 20  *  *
x   .  f |   4 |  2  0  2 |  * 30  *
. (-x)5f |  10 |  0  5  5 |  *  * 12

x3/2x5/4f

.   .   . | 120 |  1  1  1 |  1  1  1
----------+-----+----------+---------
x   .   . |   2 | 60  *  * |  1  1  0
.   x   . |   2 |  * 60  * |  1  0  1
.   .   f |   2 |  *  * 60 |  0  1  1
----------+-----+----------+---------
x3/2x   . |   6 |  3  3  0 | 20  *  *
x   .   f |   4 |  2  0  2 |  * 30  *
.   x5/4f |  10 |  0  5  5 |  *  * 12