It either can be thought of as a degenerate 5D segmentotope with zero height, or as a 4D euclidean decomposition of the larger base into smaller bits.

As abstract polytope gofix || quipdohi is isomorphic to fix || padohi, thereby replacing pentagons by pentagrams, resp. gike by ike, peppy by stappy, pip by stip, and gad by sissid, resp. gofix by fix, gadpy by sissidpy, peppyp by stappyp, gipe by ipe, and quipdohi by padohi.

Incidence matrix according to Dynkin symbol

ox5oo5/2oo3xx&#x   → height = 0
(gofix || quipdohi)

o.5o.5/2o.3o.    | 120    * |  12   12    0    0 |   30   30   60    0    0    0 |  12   12   60   60   0   0    0   0 | 1   1  12   30  12 0
.o5.o5/2.o3.o    |   * 1440 |   0    1    5    5 |    0    5    5    5   10    5 |   0    5   10    5   1   5    5   1 | 0   1   5    5   1 1
-----------------+----------+--------------------+-------------------------------+-------------------------------------+---------------------
.. ..   .. x.    |   2    0 | 720    *    *    * |    5    0    5    0    0    0 |   5    0    5   10   0   0    0   0 | 1   0   1    5   5 0
oo5oo5/2oo3oo&#x |   1    1 |   * 1440    *    * |    0    5    5    0    0    0 |   0    5   10    5   0   0    0   0 | 0   1   5    5   1 0
.x ..   .. ..    |   0    2 |   *    * 3600    * |    0    1    0    2    2    0 |   0    2    2    0   1   2    1   0 | 0   1   2    1   0 1
.. ..   .. .x    |   0    2 |   *    *    * 3600 |    0    0    1    0    2    2 |   0    0    2    2   0   1    2   1 | 0   0   1    2   1 1
-----------------+----------+--------------------+-------------------------------+-------------------------------------+---------------------
.. ..   o.3x.    |   3    0 |   3    0    0    0 | 1200    *    *    *    *    * |   2    0    0    2   0   0    0   0 | 1   0   0    1   2 0
ox ..   .. ..&#x |   1    2 |   0    2    1    0 |    * 3600    *    *    *    * |   0    2    2    0   0   0    0   0 | 0   1   2    1   0 0
.. ..   .. xx&#x |   2    2 |   1    2    0    1 |    *    * 3600    *    *    * |   0    0    2    2   0   0    0   0 | 0   0   1    2   1 0
.x5.o   .. ..    |   0    5 |   0    0    5    0 |    *    *    * 1440    *    * |   0    1    0    0   1   1    0   0 | 0   1   1    0   0 1
.x ..   .. .x    |   0    4 |   0    0    2    2 |    *    *    *    * 3600    * |   0    0    1    0   0   1    1   0 | 0   0   1    1   0 1
.. ..   .o3.x    |   0    3 |   0    0    0    3 |    *    *    *    *    * 2400 |   0    0    0    1   0   0    1   1 | 0   0   0    1   1 1
-----------------+----------+--------------------+-------------------------------+-------------------------------------+---------------------
.. o.5/2o.3x.    ♦  12    0 |  30    0    0    0 |   20    0    0    0    0    0 | 120    *    *    *   *   *    *   * | 1   0   0    0   1 0
ox5oo   .. ..&#x ♦   1    5 |   0    5    5    0 |    0    5    0    1    0    0 |   * 1440    *    *   *   *    *   * | 0   1   1    0   0 0
ox ..   .. xx&#x ♦   2    4 |   1    4    2    2 |    0    2    2    0    1    0 |   *    * 3600    *   *   *    *   * | 0   0   1    1   0 0
.. ..   oo3xx&#x ♦   3    3 |   3    3    0    3 |    1    0    3    0    0    1 |   *    *    * 2400   *   *    *   * | 0   0   0    1   1 0
.x5.o5/2.o ..    ♦   0   12 |   0    0   30    0 |    0    0    0   12    0    0 |   *    *    *    * 120   *    *   * | 0   1   0    0   0 1
.x5.o   .. .x    ♦   0   10 |   0    0   10    5 |    0    0    0    2    5    0 |   *    *    *    *   * 720    *   * | 0   0   1    0   0 1
.x ..   .o3.x    ♦   0    6 |   0    0    3    6 |    0    0    0    0    3    2 |   *    *    *    *   *   * 1200   * | 0   0   0    1   0 1
.. .o5/2.o3.x    ♦   0   12 |   0    0    0   30 |    0    0    0    0    0   20 |   *    *    *    *   *   *    * 120 | 0   0   0    0   1 1
-----------------+----------+--------------------+-------------------------------+-------------------------------------+---------------------
o.5o.5/2o.3x.    ♦ 120    0 | 720    0    0    0 | 1200    0    0    0    0    0 | 120    0    0    0   0   0    0   0 | 1   *   *    *   * *
ox5oo5/2oo ..&#x ♦   1   12 |   0   12   30    0 |    0   30    0   12    0    0 |   0   12    0    0   1   0    0   0 | * 120   *    *   * *
ox5oo   .. xx&#x ♦   2   10 |   1   10   10    5 |    0   10    5    2    5    0 |   0    2    5    0   0   1    0   0 | *   * 720    *   * *
ox ..   oo3xx&#x ♦   3    6 |   3    6    3    6 |    1    3    6    0    3    2 |   0    0    3    2   0   0    1   0 | *   *   * 1200   * *
.. oo5/2oo3xx&#x ♦  12   12 |  30   12    0   30 |   20    0   30    0    0   20 |   1    0    0   20   0   0    0   1 | *   *   *    * 120 *
.x5.o5/2.o3.x    ♦   0 1440 |   0    0 3600 3600 |    0    0    0 1440 3600 2400 |   0    0    0    0 120 720 1200 120 | *   *   *    *   * 1