This polychoron is fissary as vertices coincide by 12. Moreover it is coincidic not only because of being a Grünbaumian double cover, but because decagons even coincide by 4. It can be seen as a blend of 2 coincident gidditpix and 2 coincident dithix, thereby blending out the co. The 2 copies each further will cross over at those coincident decagons. It further can be seen alternatively as blend of 2 coincident stoditpix and 2 coincident todithix, thereby blending out the toe.

As abstract polytope 2gidditpix+2dithix is isomorphic to 2sidditpix+2dithix, thereby interchanging the roles of decagons and decagrams, resp. replacing the dip by stiddip.

Incidence matrix

x5x5/3x5x

. .   . .  | 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 .  |     4 |    2    0    2    0 |    * 3600    *    *    *    * |   1   0   1   0
x .   . x  |     4 |    2    0    0    2 |    *    * 3600    *    *    * |   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 .  ♦   120 |   60   60   60    0 |   12   30    0   12    0    0 | 120   *   *   *
x5x   . x  ♦    20 |   10   10    0   10 |    2    0    5    0    5    0 |   * 720   *   *
x .   x5x  ♦    20 |   10    0   10   10 |    0    5    5    0    0    2 |   *   * 720   *
. x5/3x5x  ♦   120 |    0   60   60   60 |    0    0    0   12   30   12 |   *   *   * 120

or
. .   . .    | 14400 |     2     2 |    2    2    1    1 |   2    2
-------------+-------+-------------+---------------------+---------
x .   . .  & |     2 | 14400     * |    1    1    1    0 |   1    2
. x   . .  & |     2 |     * 14400 |    1    1    0    1 |   2    1
-------------+-------+-------------+---------------------+---------
x5x   . .  & |    10 |     5     5 | 2880    *    *    * |   1    1
x .   x .  & |     4 |     2     2 |    * 7200    *    * |   1    1
x .   . x    |     4 |     4     0 |    *    * 3600    * |   0    2
. x5/3x .    |    10 |     0    10 |    *    *    * 1440 |   2    0
-------------+-------+-------------+---------------------+---------
x5x5/3x .  & ♦   120 |    60   120 |   12   30    0   12 | 240    *
x5x   . x  & ♦    20 |    20    10 |    2    5    5    0 |   * 1440