As abstract polytope gik vadixady is isomorphic to sik vadixady, thereby replacing pentagrams by pentagons, resp. replacing the qrid by srid and siid by giid.

Incidence matrix according to Dynkin symbol

```o3x3x3x5/3*a3/2*c

. . . .           | 7200 |    2    2    2 |    1    1    1    2    2    2 |   1   1   1   2
------------------+------+----------------+-------------------------------+----------------
. 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
------------------+------+----------------+-------------------------------+----------------
o3x . .           |    3 |    3    0    0 | 2400    *    *    *    *    * |   1   1   0   0
o . x .   *a3/2*c |    3 |    0    3    0 |    * 2400    *    *    *    * |   1   0   1   0
o . . x5/3*a      |    5 |    0    0    5 |    *    * 1440    *    *    * |   0   1   1   0
. x3x .           |    6 |    3    3    0 |    *    *    * 2400    *    * |   1   0   0   1
. x . x           |    4 |    2    0    2 |    *    *    *    * 3600    * |   0   1   0   1
. . x3x           |    6 |    0    3    3 |    *    *    *    *    * 2400 |   0   0   1   1
------------------+------+----------------+-------------------------------+----------------
o3x3x .   *a3/2*c ♦   12 |   12   12    0 |    4    4    0    4    0    0 | 600   *   *   *
o3x . x5/3*a      ♦   60 |   60    0   60 |   20    0   12    0   30    0 |   * 120   *   *
o . x3x5/3*a3/2*c ♦   60 |    0   60   60 |    0   20   12    0    0   20 |   *   * 120   *
. x3x3x           ♦   24 |   12   12   12 |    0    0    0    4    6    4 |   *   *   * 600
```

```o3/2x3x3x5/2*a3*c

.   . . .         | 7200 |    2    2    2 |    1    1    1    2    2    2 |   1   1   1   2
------------------+------+----------------+-------------------------------+----------------
.   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
------------------+------+----------------+-------------------------------+----------------
o3/2x . .         |    3 |    3    0    0 | 2400    *    *    *    *    * |   1   1   0   0
o   . x .   *a3*c |    3 |    0    3    0 |    * 2400    *    *    *    * |   1   0   1   0
o   . . x5/2*a    |    5 |    0    0    5 |    *    * 1440    *    *    * |   0   1   1   0
.   x3x .         |    6 |    3    3    0 |    *    *    * 2400    *    * |   1   0   0   1
.   x . x         |    4 |    2    0    2 |    *    *    *    * 3600    * |   0   1   0   1
.   . x3x         |    6 |    0    3    3 |    *    *    *    *    * 2400 |   0   0   1   1
------------------+------+----------------+-------------------------------+----------------
o3/2x3x .   *a3*c ♦   12 |   12   12    0 |    4    4    0    4    0    0 | 600   *   *   *
o3/2x . x5/2*a    ♦   60 |   60    0   60 |   20    0   12    0   30    0 |   * 120   *   *
o   . x3x5/2*a3*c ♦   60 |    0   60   60 |    0   20   12    0    0   20 |   *   * 120   *
.   x3x3x         ♦   24 |   12   12   12 |    0    0    0    4    6    4 |   *   *   * 600
```