Application of a tripesic partial Stott expansions with respect to those triangles with full symmetry would result in rothat.

This tiling allows for a 2-coloring of those triangles with full symmetry. When applying a similar partial Stott contraction with respect to the blue triangles and the hexagons, then that would result in pextrat.

Incidence matrix

(N → ∞)

6N  * |  2  1   2  0 |  1  2  2 0  [3,3,4,3,4]
 * 6N |  0  0   2  2 |  0  1  2 1  [3,4,6,4]
------+--------------+-----------
 2  0 | 6N  *   *  * |  1  0  1 0
 2  0 |  * 3N   *  * |  0  2  0 0
 1  1 |  *  * 12N  * |  0  1  1 0
 0  2 |  *  *   * 6N |  0  0  1 1
------+--------------+-----------
 3  0 |  3  0   0  0 | 2N  *  * *
 2  1 |  0  1   2  0 |  * 6N  * *
 2  2 |  1  0   2  1 |  *  * 6N *
 0  6 |  0  0   0  6 |  *  *  * N