This polychoron either can be derived as a diminishing of the EKF oFFxx3xxoof3fooxo3ooffx&#zx (removing the 3rd layer). Alternatively these processes could be commutated here: starting from ex in pentic subsymmetry, which can be given as xffoo3oxoof3fooxo3ooffx&#zx, one first deletes the 3rd layer, the vertex set of a vertex inscribed f-scaled spid, resulting in xf.oo3ox.of3fo.xo3oo.fx&#zx. Thereon one then applies the kaleido faceting wrt. the first node in the first layer, resulting in (-x)f.oo3xx.of3fo.xo3oo.fx&#zx. Finally one applies the Stott expansion wrt. the first node, which reproduces this polychoron alike.

Incidence matrix according to Dynkin symbol

oFxx3xxof3foxo3oofx&#zx   → all heights = 0 – except those of the not existing lacing(1,2) resp. lacing(2,3).

o...3o...3o...3o...     | 30  *  *  * |  2   4   4  0  0  0  0   0  0  0 |  1  2  4  2  2   4  0  0  0  0  0  0  0  0  0  0 |  2  2  2  1 0  0  0 0  0  0
.o..3.o..3.o..3.o..     |  * 20  *  * |  0   0   0  3  3  0  0   0  0  0 |  0  0  0  0  0   0  3  6  3  0  0  0  0  0  0  0 |  3  0  0  0 1  3  1 0  0  0
..o.3..o.3..o.3..o.     |  *  * 60  * |  0   2   0  0  0  2  2   2  0  0 |  0  2  1  0  0   2  0  1  0  1  2  1  2  2  0  0 |  1  1  2  0 0  1  0 1  2  0
...o3...o3...o3...o     |  *  *  * 60 |  0   0   2  0  1  0  0   2  1  2 |  0  0  0  2  2   2  0  2  2  0  0  0  2  1  2  1 |  2  0  2  2 0  1  1 0  1  1
------------------------+-------------+----------------------------------+--------------------------------------------------+----------------------------
.... x... .... ....     |  2  0  0  0 | 30   *   *  *  *  *  *   *  *  * |  1  0  2  0  0   0  0  0  0  0  0  0  0  0  0  0 |  1  2  0  0 0  0  0 0  0  0
o.o.3o.o.3o.o.3o.o.&#x  |  1  0  1  0 |  * 120   *  *  *  *  *   *  *  * |  0  1  1  0  0   1  0  0  0  0  0  0  0  0  0  0 |  1  1  1  0 0  0  0 0  0  0
o..o3o..o3o..o3o..o&#x  |  1  0  0  1 |  *   * 120  *  *  *  *   *  *  * |  0  0  0  1  1   1  0  0  0  0  0  0  0  0  0  0 |  1  0  1  1 0  0  0 0  0  0
.... .x.. .... ....     |  0  2  0  0 |  *   *   * 30  *  *  *   *  *  * |  0  0  0  0  0   0  2  2  0  0  0  0  0  0  0  0 |  1  0  0  0 1  2  0 0  0  0
.o.o3.o.o3.o.o3.o.o&#x  |  0  1  0  1 |  *   *   *  * 60  *  *   *  *  * |  0  0  0  0  0   0  0  2  2  0  0  0  0  0  0  0 |  2  0  0  0 0  1  1 0  0  0
..x. .... .... ....     |  0  0  2  0 |  *   *   *  *  * 60  *   *  *  * |  0  1  0  0  0   0  0  0  0  1  1  0  1  0  0  0 |  0  1  1  0 0  0  0 1  1  0
.... .... ..x. ....     |  0  0  2  0 |  *   *   *  *  *  * 60   *  *  * |  0  0  0  0  0   0  0  0  0  0  1  1  0  1  0  0 |  0  0  0  0 0  1  0 1  1  0
..oo3..oo3..oo3..oo&#x  |  0  0  1  1 |  *   *   *  *  *  *  * 120  *  * |  0  0  0  0  0   1  0  1  0  0  0  0  1  1  0  0 |  1  0  1  0 0  1  0 0  1  0
...x .... .... ....     |  0  0  0  2 |  *   *   *  *  *  *  *   * 30  * |  0  0  0  2  0   0  0  0  0  0  0  0  2  0  2  0 |  0  0  2  2 0  0  0 0  1  1
.... .... .... ...x     |  0  0  0  2 |  *   *   *  *  *  *  *   *  * 60 |  0  0  0  0  1   0  0  0  1  0  0  0  0  0  1  1 |  1  0  0  1 0  0  1 0  0  1
------------------------+-------------+----------------------------------+--------------------------------------------------+----------------------------
o...3x... .... ....     |  3  0  0  0 |  3   0   0  0  0  0  0   0  0  0 | 10  *  *  *  *   *  *  *  *  *  *  *  *  *  *  * |  0  2  0  0 0  0  0 0  0  0
o.x. .... .... ....     |  1  0  2  0 |  0   2   0  0  0  1  0   0  0  0 |  * 60  *  *  *   *  *  *  *  *  *  *  *  *  *  * |  0  1  1  0 0  0  0 0  0  0
.... x.o. .... ....&#x  |  2  0  1  0 |  1   2   0  0  0  0  0   0  0  0 |  *  * 60  *  *   *  *  *  *  *  *  *  *  *  *  * |  1  1  0  0 0  0  0 0  0  0
o..x .... .... ....&#x  |  1  0  0  2 |  0   0   2  0  0  0  0   0  1  0 |  *  *  * 60  *   *  *  *  *  *  *  *  *  *  *  * |  0  0  1  1 0  0  0 0  0  0
.... .... .... o..x&#x  |  1  0  0  2 |  0   0   2  0  0  0  0   0  0  1 |  *  *  *  * 60   *  *  *  *  *  *  *  *  *  *  * |  1  0  0  1 0  0  0 0  0  0
o.oo3o.oo3o.oo3o.oo&#x  |  1  0  1  1 |  0   1   1  0  0  0  0   1  0  0 |  *  *  *  *  * 120  *  *  *  *  *  *  *  *  *  * |  1  0  1  0 0  0  0 0  0  0
.... .x..3.o.. ....     |  0  3  0  0 |  0   0   0  3  0  0  0   0  0  0 |  *  *  *  *  *   * 20  *  *  *  *  *  *  *  *  * |  0  0  0  0 1  1  0 0  0  0
.... .xof .... ....&#xt |  0  2  1  2 |  0   0   0  1  2  0  0   2  0  0 |  *  *  *  *  *   *  * 60  *  *  *  *  *  *  *  * |  1  0  0  0 0  1  0 0  0  0  tower b-d-c
.... .... .... .o.x&#x  |  0  1  0  2 |  0   0   0  0  2  0  0   0  0  1 |  *  *  *  *  *   *  *  * 60  *  *  *  *  *  *  * |  1  0  0  0 0  0  1 0  0  0
..x.3..o. .... ....     |  0  0  3  0 |  0   0   0  0  0  3  0   0  0  0 |  *  *  *  *  *   *  *  *  * 20  *  *  *  *  *  * |  0  1  0  0 0  0  0 1  0  0
..x. .... ..x. ....     |  0  0  4  0 |  0   0   0  0  0  2  2   0  0  0 |  *  *  *  *  *   *  *  *  *  * 30  *  *  *  *  * |  0  0  0  0 0  0  0 1  1  0
.... ..o.3..x. ....     |  0  0  3  0 |  0   0   0  0  0  0  3   0  0  0 |  *  *  *  *  *   *  *  *  *  *  * 20  *  *  *  * |  0  0  0  0 0  1  0 1  0  0
..xx .... .... ....&#x  |  0  0  2  2 |  0   0   0  0  0  1  0   2  1  0 |  *  *  *  *  *   *  *  *  *  *  *  * 60  *  *  * |  0  0  1  0 0  0  0 0  1  0
.... .... ..xo ....&#x  |  0  0  2  1 |  0   0   0  0  0  0  1   2  0  0 |  *  *  *  *  *   *  *  *  *  *  *  *  * 60  *  * |  0  0  0  0 0  1  0 0  1  0
...x .... .... ...x     |  0  0  0  4 |  0   0   0  0  0  0  0   0  2  2 |  *  *  *  *  *   *  *  *  *  *  *  *  *  * 30  * |  0  0  0  1 0  0  0 0  0  1
.... .... ...o3...x     |  0  0  0  3 |  0   0   0  0  0  0  0   0  0  3 |  *  *  *  *  *   *  *  *  *  *  *  *  *  *  * 20 |  0  0  0  0 0  0  1 0  0  1
------------------------+-------------+----------------------------------+--------------------------------------------------+----------------------------
.... xxof .... oofx&#zx ♦  2  2  2  4 |  1   4   4  1  4  0  0   4  0  2 |  0  0  2  0  2   4  0  2  2  0  0  0  0  0  0  0 | 30  *  *  * *  *  * *  *  *
o.x.3x.o. .... ....&#x  ♦  3  0  3  0 |  3   6   0  0  0  3  0   0  0  0 |  1  3  3  0  0   0  0  0  0  1  0  0  0  0  0  0 |  * 20  *  * *  *  * *  *  *
o.xx .... .... ....&#x  ♦  1  0  2  2 |  0   2   2  0  0  1  0   2  1  0 |  0  1  0  1  0   2  0  0  0  0  0  0  1  0  0  0 |  *  * 60  * *  *  * *  *  *
o..x .... .... o..x&#x  ♦  1  0  0  4 |  0   0   4  0  0  0  0   0  2  2 |  0  0  0  2  2   0  0  0  0  0  0  0  0  0  1  0 |  *  *  * 30 *  *  * *  *  *
.... .x..3.o..3.o..     ♦  0  4  0  0 |  0   0   0  6  0  0  0   0  0  0 |  0  0  0  0  0   0  4  0  0  0  0  0  0  0  0  0 |  *  *  *  * 5  *  * *  *  *
.... .xof3.oxo ....&#xt ♦  0  3  3  3 |  0   0   0  3  3  0  3   6  0  0 |  0  0  0  0  0   0  1  3  0  0  0  1  0  3  0  0 |  *  *  *  * * 20  * *  *  *  tower b-d-c
.... .... .o.o3.o.x&#x  ♦  0  1  0  3 |  0   0   0  0  3  0  0   0  0  3 |  0  0  0  0  0   0  0  0  3  0  0  0  0  0  0  1 |  *  *  *  * *  * 20 *  *  *
..x.3..o.3..x. ....     ♦  0  0 12  0 |  0   0   0  0  0 12 12   0  0  0 |  0  0  0  0  0   0  0  0  0  4  6  4  0  0  0  0 |  *  *  *  * *  *  * 5  *  *
..xx .... ..xo ....&#x  ♦  0  0  4  2 |  0   0   0  0  0  2  2   4  1  0 |  0  0  0  0  0   0  0  0  0  0  1  0  2  2  0  0 |  *  *  *  * *  *  * * 30  *
...x .... ...o3...x     ♦  0  0  0  6 |  0   0   0  0  0  0  0   0  3  6 |  0  0  0  0  0   0  0  0  0  0  0  0  0  0  3  2 |  *  *  *  * *  *  * *  * 10