As abstract polytope 2affidhi is automorph, thereby interchanging the roles of decagons and decagrams.

Looks like a coincidentic compound of 2 affidhis. In fact, all elements coincide by pairs, just vertices coincide by 4.

Incidence matrix according to Dynkin symbol

x5x5/3x5x5/3*a3*c

. .   . .         | 14400 |    1    1    1    1 |    1    1    1    1    1    1 |   1   1   1   1
------------------+-------+---------------------+-------------------------------+----------------
x .   . .         |     2 | 7200    *    *    * |    1    1    1    0    0    0 |   1   1   1   0
. x   . .         |     2 |    * 7200    *    * |    1    0    0    1    1    0 |   1   1   0   1
. .   x .         |     2 |    *    * 7200    * |    0    1    0    1    0    1 |   1   0   1   1
. .   . x         |     2 |    *    *    * 7200 |    0    0    1    0    1    1 |   0   1   1   1
------------------+-------+---------------------+-------------------------------+----------------
x5x   . .         |    10 |    5    5    0    0 | 1440    *    *    *    *    * |   1   1   0   0
x .   x .   *a3*c |     6 |    3    0    3    0 |    * 2400    *    *    *    * |   1   0   1   0
x .   . x5/3*a    |    10 |    5    0    0    5 |    *    * 1440    *    *    * |   0   1   1   0
. x5/3x .         |    10 |    0    5    5    0 |    *    *    * 1440    *    * |   1   0   0   1
. x   . x         |     4 |    0    2    0    2 |    *    *    *    * 3600    * |   0   1   0   1
. .   x5x         |    10 |    0    0    5    5 |    *    *    *    *    * 1440 |   0   0   1   1
------------------+-------+---------------------+-------------------------------+----------------
x5x5/3x .   *a3*c ♦   120 |   60   60   60    0 |   12   20    0   12    0    0 | 120   *   *   *
x5x   . x5/3*a    ♦   120 |   60   60    0   60 |   12    0   12    0   30    0 |   * 120   *   *
x .   x5x5/3*a3*c ♦   120 |   60    0   60   60 |    0   20   12    0    0   12 |   *   * 120   *
. x5/3x5x5/3*a3*c ♦   120 |    0   60   60   60 |    0    0    0   12   30   12 |   *   *   * 120