As abstract polytope sirgaship is isomorphic to sirghipe, thereby interchanging pentagrams and pentagons, resp. interchanging pip and stip, resp. replacing sirgashi by sirghi and sistadip by squipdip.

Incidence matrix according to Dynkin symbol

x x5/2o5x5/2o

. .   . .   . | 7200 |    1    2     4 |    2    4    1    4    2    2 |   1    4    2    2   2    2   1 |   2   1   1 1
--------------+------+-----------------+-------------------------------+---------------------------------+--------------
x .   . .   . |    2 | 3600    *     * |    2    4    0    0    0    0 |   1    4    2    2   0    0   0 |   2   1   1 0
. x   . .   . |    2 |    * 7200     * |    1    0    1    2    0    0 |   1    2    0    0   2    1   0 |   2   1   0 1
. .   . x   . |    2 |    *    * 14400 |    0    1    0    1    1    1 |   0    1    1    1   1    1   1 |   1   1   1 1
--------------+------+-----------------+-------------------------------+---------------------------------+--------------
x x   . .   . |    4 |    2    2     0 | 3600    *    *    *    *    * |   1    2    0    0   0    0   0 |   2   1   0 0
x .   . x   . |    4 |    2    0     2 |    * 7200    *    *    *    * |   0    1    1    1   0    0   0 |   1   1   1 0
. x5/2o .   . |    5 |    0    5     0 |    *    * 1440    *    *    * |   1    0    0    0   2    0   0 |   2   0   0 1
. x   . x   . |    4 |    0    2     2 |    *    *    * 7200    *    * |   0    1    0    0   1    1   0 |   1   1   0 1
. .   o5x   . |    5 |    0    0     5 |    *    *    *    * 2880    * |   0    0    1    0   1    0   1 |   1   0   1 1
. .   . x5/2o |    5 |    0    0     5 |    *    *    *    *    * 2880 |   0    0    0    1   0    1   1 |   0   1   1 1
--------------+------+-----------------+-------------------------------+---------------------------------+--------------
x x5/2o .   . ♦   10 |    5   10     0 |    5    0    2    0    0    0 | 720    *    *    *   *    *   * |   2   0   0 0
x x   . x   . ♦    8 |    4    4     4 |    2    2    0    2    0    0 |   * 3600    *    *   *    *   * |   1   1   0 0
x .   o5x   . ♦   10 |    5    0    10 |    0    5    0    0    2    0 |   *    * 1440    *   *    *   * |   1   0   1 0
x .   . x5/2o ♦   10 |    5    0    10 |    0    5    0    0    0    2 |   *    *    * 1440   *    *   * |   0   1   1 0
. x5/2o5x   . ♦   60 |    0   60    60 |    0    0   12   30   12    0 |   *    *    *    * 240    *   * |   1   0   0 1
. x   . x5/2o ♦   10 |    0    5    10 |    0    0    0    5    0    2 |   *    *    *    *   * 1440   * |   0   1   0 1
. .   o5x5/2o ♦   30 |    0    0    60 |    0    0    0    0   12   12 |   *    *    *    *   *    * 240 |   0   0   1 1
--------------+------+-----------------+-------------------------------+---------------------------------+--------------
x x5/2o5x   . ♦  120 |   60  120   120 |   60   60   24   60   24    0 |  12   30   12    0   2    0   0 | 120   *   * *
x x   . x5/2o ♦   20 |   10   10    20 |    5   10    0   10    0    4 |   0    5    0    2   0    2   0 |   * 720   * *
x .   o5x5/2o ♦   60 |   30    0   120 |    0   60    0    0   24   24 |   0    0   12   12   0    0   2 |   *   * 120 *
. x5/2o5x5/2o ♦ 3600 |    0 3600  7200 |    0    0  720 3600 1440 1440 |   0    0    0    0 120  720 120 |   *   *   * 2