As abstract polytope siphidy is isomorphic to giphidy, thereby replacing the decagons by decagrams and interchanging the roles of pentagons and pentagrams, resp. replacing the tigid by quit sissid, the grid by gaquatid, and the pip by stip.

Incidence matrix according to Dynkin symbol

```x5x3x5o5/3*b

. . . .      | 7200 |    1    2    2 |    2    2    2    1    1 |   2   1   1   1
-------------+------+----------------+--------------------------+----------------
x . . .      |    2 | 3600    *    * |    2    2    0    0    0 |   2   1   1   0
. x . .      |    2 |    * 7200    * |    1    0    1    1    0 |   1   1   0   1
. . x .      |    2 |    *    * 7200 |    0    1    1    0    1 |   1   0   1   1
-------------+------+----------------+--------------------------+----------------
x5x . .      |   10 |    5    5    0 | 1440    *    *    *    * |   1   1   0   0
x . x .      |    4 |    2    0    2 |    * 3600    *    *    * |   1   0   1   0
. x3x .      |    6 |    0    3    3 |    *    * 2400    *    * |   1   0   0   1
. x . o5/3*b |    5 |    0    5    0 |    *    *    * 1440    * |   0   1   0   1
. . x5o      |    5 |    0    0    5 |    *    *    *    * 1440 |   0   0   1   1
-------------+------+----------------+--------------------------+----------------
x5x3x .      ♦  120 |   60   60   60 |   12   30   20    0    0 | 120   *   *   *
x5x . o5/3*b ♦   60 |   30   60    0 |   12    0    0   12    0 |   * 120   *   *
x . x5o      ♦   10 |    5    0   10 |    0    5    0    0    2 |   *   * 720   *
. x3x5o5/3*b ♦   60 |    0   60   60 |    0    0   20   12   12 |   *   *   * 120
```

```x5x3x5/4o5/2*b

. . .   .      | 7200 |    1    2    2 |    2    2    2    1    1 |   2   1   1   1
---------------+------+----------------+--------------------------+----------------
x . .   .      |    2 | 3600    *    * |    2    2    0    0    0 |   2   1   1   0
. x .   .      |    2 |    * 7200    * |    1    0    1    1    0 |   1   1   0   1
. . x   .      |    2 |    *    * 7200 |    0    1    1    0    1 |   1   0   1   1
---------------+------+----------------+--------------------------+----------------
x5x .   .      |   10 |    5    5    0 | 1440    *    *    *    * |   1   1   0   0
x . x   .      |    4 |    2    0    2 |    * 3600    *    *    * |   1   0   1   0
. x3x   .      |    6 |    0    3    3 |    *    * 2400    *    * |   1   0   0   1
. x .   o5/2*b |    5 |    0    5    0 |    *    *    * 1440    * |   0   1   0   1
. . x5/4o      |    5 |    0    0    5 |    *    *    *    * 1440 |   0   0   1   1
---------------+------+----------------+--------------------------+----------------
x5x3x   .      ♦  120 |   60   60   60 |   12   30   20    0    0 | 120   *   *   *
x5x .   o5/2*b ♦   60 |   30   60    0 |   12    0    0   12    0 |   * 120   *   *
x . x5/4o      ♦   10 |    5    0   10 |    0    5    0    0    2 |   *   * 720   *
. x3x5/4o5/2*b ♦   60 |    0   60   60 |    0    0   20   12   12 |   *   *   * 120
```