Looks like a vertex coincident compound of tigaghi and quit sishi, and indeed those vertices would be identified. Further the decagon-decagon edges (of tigid) and the decagram-decagram edges (of quit sissid) coincide one by one as well, and will have to be identified too, if the vertex figure shall not fall into different shaped components (uniformity).

Incidence matrix

```as uniform compound

2400 |    1    3    3 |    3    3   3   3 |   1   1   3   3 || 1 1
-------+----------------+-------------------+-----------------++----
2 | 1200    *    * |    0    0   3   3 |   0   0   3   3 || 1 1
2 |    * 3600    * |    2    0   0   1 |   1   0   2   0 || 1 0
2 |    *    * 3600 |    0    2   1   0 |   0   1   0   2 || 0 1
-------+----------------+-------------------+-----------------++----
5 |    0    5    0 | 1440    *   *   * |   1   0   1   0 || 1 0  {5}
5 |    0    0    5 |    * 1440   *   * |   0   1   0   1 || 0 1  {5/2}
10 |    5    0    5 |    *    * 720   * |   0   0   0   2 || 0 1  {10}
10 |    5    5    0 |    *    *   * 720 |   0   0   2   0 || 1 0  {10/3}
-------+----------------+-------------------+-----------------++----
♦   20 |    0   30    0 |   12    0   0   0 | 120   *   *   * || 1 0
♦   20 |    0    0   30 |    0   12   0   0 |   * 120   *   * || 0 1
♦   60 |   30   60    0 |   12    0   0  12 |   *   * 120   * || 1 0
♦   60 |   30    0   60 |    0   12  12   0 |   *   *   * 120 || 0 1
-------+----------------+-------------------+-----------------++----
♦ 2400 | 1200 3600    0 | 1440    0   0 720 | 120   0 120   0 || 1 *
♦ 2400 | 1200    0 3600 |    0 1440 720   0 |   0 120   0 120 || * 1
```