Looks like a completely coincident compound of 2 copies of gidditdy, in fact all elements coincide by 2.

As abstract polytope 2gidditdy is isomorphic to 2sidditdy, thereby replacing pentagons by pentagrams and decagrams by decagons resp. replacing gidtid by sidtid and gidditdid by sidditdid.

Incidence matrix according to Dynkin symbol

o3/2x5o3x5/4*a3*c *b5/3*d

.   . . .                 | 2400 |    6    6 |    3    3    3    6    3 |   1   3   1   3
--------------------------+------+-----------+--------------------------+----------------
.   x . .                 |    2 | 7200    * |    1    0    1    1    0 |   1   1   0   1
.   . . x                 |    2 |    * 7200 |    0    1    0    1    1 |   0   1   1   1
--------------------------+------+-----------+--------------------------+----------------
o3/2x . .                 |    3 |    3    0 | 2400    *    *    *    * |   1   1   0   0
o   . . x5/4*a            |    5 |    0    5 |    * 1440    *    *    * |   0   1   1   0
.   x5o .                 |    5 |    5    0 |    *    * 1440    *    * |   1   0   0   1
.   x . x         *b5/3*d |   10 |    5    5 |    *    *    * 1440    * |   0   1   0   1
.   . o3x                 |    3 |    0    3 |    *    *    *    * 2400 |   0   0   1   1
--------------------------+------+-----------+--------------------------+----------------
o3/2x5o .   *a3*c         ♦   20 |   60    0 |   20    0   12    0    0 | 120   *   *   *
o3/2x . x5/4*a    *b5/3*d ♦   60 |   60   60 |   20   12    0   12    0 |   * 120   *   *
o   . o3x5/4*a3*c         ♦   20 |    0   60 |    0   12    0    0   20 |   *   * 120   *
.   x5o3x         *b5/3*d ♦   60 |   60   60 |    0    0   12   12   20 |   *   *   * 120