Rectification wrt. a non-regular polytope is meant to be the singular instance of truncations on all vertices at such a depth that the hyperplane intersections on the former edges will coincide (provided such a choice exists). Within the specific case of sidpixhi as a pre-image these intersection points might differ on its 2 edge types. Therefore sidpixhi cannot be rectified (within this stronger sense). Nonetheless the Conway operator of ambification (chosing the former edge centers generally) clearly is applicable. This would result in 2 different edge sizes in the outcome polychoron. That one here is scaled such so that the smaller one becomes unity. Then the medium edge will have size q and the longer one f.

All u = 2 edges, used in the below descriptions, only qualify as pseudo edges wrt. the full polychoron.

Incidence matrix according to Dynkin symbol

uo3ox3fo5ou&#zq   → height = 0
(q-laced tegum sum of (u,f)-srix and (x,u)-srahi)

o.3o.3o.5o.     | 3600    * |    4     4    0 |    2    2    2    2    4    0    0 |   1    1   2    2   0
.o3.o3.o5.o     |    * 3600 |    0     4    4 |    0    0    2    4    2    2    2 |   0    2   1    2   1
----------------+-----------+-----------------+------------------------------------+----------------------
.. .. f. ..     |    2    0 | 7200     *    * |    1    1    0    0    1    0    0 |   1    0   1    1   0
oo3oo3oo5oo&#q  |    1    1 |    * 14400    * |    0    0    1    1    1    0    0 |   0    1   1    1   0
.. .x .. ..     |    0    2 |    *     * 7200 |    0    0    0    1    0    1    1 |   0    1   0    1   1
----------------+-----------+-----------------+------------------------------------+----------------------
.. o.3f. ..     |    3    0 |    3     0    0 | 2400    *    *    *    *    *    * |   1    0   0    1   0
.. .. f.5o.     |    5    0 |    5     0    0 |    * 1440    *    *    *    *    * |   1    0   1    0   0
uo .. .. ou&#zq |    2    2 |    0     4    0 |    *    * 3600    *    *    *    * |   0    1   1    0   0
.. ox .. ..&#q  |    1    2 |    0     2    1 |    *    *    * 7200    *    *    * |   0    1   0    1   0
.. .. fo ..&#q  |    2    1 |    1     2    0 |    *    *    *    * 7200    *    * |   0    0   1    1   0
.o3.x .. ..     |    0    3 |    0     0    3 |    *    *    *    *    * 2400    * |   0    1   0    0   1
.. .x3.o ..     |    0    3 |    0     0    3 |    *    *    *    *    *    * 2400 |   0    0   0    1   1
----------------+-----------+-----------------+------------------------------------+----------------------
.. o.3f.5o.     |   30    0 |   60     0    0 |   20   12    0    0    0    0    0 | 120    *   *    *   *  f-id
uo3ox .. ou&#zq |    3    6 |    0    12    6 |    0    0    3    6    0    2    0 |   * 1200   *    *   *  retrip
uo .. fo5ou&#zq |   10    5 |   10    20    0 |    0    2    5    0   10    0    0 |   *    * 720    *   *  repip
.. ox3fo ..&#q  |    3    3 |    3     6    3 |    1    0    0    3    3    0    1 |   *    *   * 2400   *  verf(sidpixhi)
.o3.x3.o ..     |    0    6 |    0     0   12 |    0    0    0    0    0    4    4 |   *    *   *    * 600  x-oct