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

As abstract polytope 2fry is isomorphic to 2firgogishi, thereby replacing decagons by decagrams, resp. by replacing tid by quit gissid.

Incidence matrix according to Dynkin symbol

x5x3o3o3/2*a

. . . .      | 2400 |    3    3 |    6    3    3 |   3   3   1   1
-------------+------+-----------+----------------+----------------
x . . .      |    2 | 3600    * |    2    2    0 |   1   2   1   0
. x . .      |    2 |    * 3600 |    2    0    2 |   2   1   0   1
-------------+------+-----------+----------------+----------------
x5x . .      |   10 |    5    5 | 1440    *    * |   1   1   0   0
x . . o3/2*a |    3 |    3    0 |    * 2400    * |   0   1   1   0
. x3o .      |    3 |    0    3 |    *    * 2400 |   1   0   0   1
-------------+------+-----------+----------------+----------------
x5x3o .      ♦   60 |   30   60 |   12    0   20 | 120   *   *   *
x5x . o3/2*a ♦   60 |   60   30 |   12   20    0 |   * 120   *   *
x . o3o3/2*a ♦    4 |    6    0 |    0    4    0 |   *   * 600   *
. x3o3o      ♦    4 |    0    6 |    0    0    4 |   *   *   * 600

x5x3o3/2o3*a

. . .   .    | 2400 |    3    3 |    6    3    3 |   3   3   1   1
-------------+------+-----------+----------------+----------------
x . .   .    |    2 | 3600    * |    2    2    0 |   1   2   1   0
. x .   .    |    2 |    * 3600 |    2    0    2 |   2   1   0   1
-------------+------+-----------+----------------+----------------
x5x .   .    |   10 |    5    5 | 1440    *    * |   1   1   0   0
x . .   o3*a |    3 |    3    0 |    * 2400    * |   0   1   1   0
. x3o   .    |    3 |    0    3 |    *    * 2400 |   1   0   0   1
-------------+------+-----------+----------------+----------------
x5x3o   .    ♦   60 |   30   60 |   12    0   20 | 120   *   *   *
x5x .   o3*a ♦   60 |   60   30 |   12   20    0 |   * 120   *   *
x . o3/2o3*a ♦    4 |    6    0 |    0    4    0 |   *   * 600   *
. x3o3/2o    ♦    4 |    0    6 |    0    0    4 |   *   *   * 600

or
. . .   .       | 2400 |    6 |    6    6 |   6    2
----------------+------+------+-----------+---------
x . .   .     & |    2 | 7200 |    2    2 |   3    1
----------------+------+------+-----------+---------
x5x .   .       |   10 |   10 | 1440    * |   2    0
x . .   o3*a  & |    3 |    3 |    * 4800 |   1    1
----------------+------+------+-----------+---------
x5x3o   .     & ♦   60 |   90 |   12   20 | 240    *
x . o3/2o3*a  & ♦    4 |    6 |    0    4 |   * 1200

x5x3/2o3/2o3/2*a

. .   .   .      | 2400 |    3    3 |    6    3    3 |   3   3   1   1
-----------------+------+-----------+----------------+----------------
x .   .   .      |    2 | 3600    * |    2    2    0 |   1   2   1   0
. x   .   .      |    2 |    * 3600 |    2    0    2 |   2   1   0   1
-----------------+------+-----------+----------------+----------------
x5x   .   .      |   10 |    5    5 | 1440    *    * |   1   1   0   0
x .   .   o3/2*a |    3 |    3    0 |    * 2400    * |   0   1   1   0
. x3/2o   .      |    3 |    0    3 |    *    * 2400 |   1   0   0   1
-----------------+------+-----------+----------------+----------------
x5x3/2o   .      ♦   60 |   30   60 |   12    0   20 | 120   *   *   *
x5x   .   o3/2*a ♦   60 |   60   30 |   12   20    0 |   * 120   *   *
x .   o3/2o3/2*a ♦    4 |    6    0 |    0    4    0 |   *   * 600   *
. x3/2o3/2o      ♦    4 |    0    6 |    0    0    4 |   *   *   * 600

or
. .   .   .         | 2400 |    6 |    6    6 |   6    2
--------------------+------+------+-----------+---------
x .   .   .       & |    2 | 7200 |    2    2 |   3    1
--------------------+------+------+-----------+---------
x5x   .   .         |   10 |   10 | 1440    * |   2    0
x .   .   o3/2*a  & |    3 |    3 |    * 4800 |   1    1
--------------------+------+------+-----------+---------
x5x3/2o   .       & ♦   60 |   90 |   12   20 | 240    *
x .   o3/2o3/2*a  & ♦    4 |    6 |    0    4 |   * 1200