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

Incidence matrix according to Dynkin symbol

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

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