This polychoron is the general form of one of the 4 phases of the tegum sum of 2 inverted general prip variants, ab3co3oc3ba&#zd, here in fact the realm of a > b.

Incidence matrix according to Dynkin symbol

ab3co3oc3ba&#zd   → height = 0
                    a > b
                    d = sqrt[(3a2-6ab+3b2+2ac-2bc+2c2)/5]

o.3o.3o.3o.     & | 120 |  1   2   2   2 |  2  1  2  1   4   3 |  1  1  3  2  1
------------------+-----+----------------+---------------------+---------------
a. .. .. ..     & |   2 | 60   *   *   * |  2  0  0  0   2   0 |  1  0  1  2  0
.. c. .. ..     & |   2 |  * 120   *   * |  0  1  1  0   0   1 |  0  1  1  0  1
.. .. .. b.     & |   2 |  *   * 120   * |  1  0  1  1   1   0 |  1  1  1  1  0
oo3oo3oo3oo&#d    |   2 |  *   *   * 120 |  0  0  0  0   2   2 |  0  0  2  1  1
------------------+-----+----------------+---------------------+---------------
a. .. .. b.     & |   4 |  2   0   2   0 | 60  *  *  *   *   * |  1  0  0  1  0
.. c.3o. ..     & |   3 |  0   3   0   0 |  * 40  *  *   *   * |  0  1  0  0  1
.. c. .. b.     & |   4 |  0   2   2   0 |  *  * 60  *   *   * |  0  1  1  0  0
.. .. o.3b.     & |   3 |  0   0   3   0 |  *  *  * 40   *   * |  1  1  0  0  0
ab .. .. ..&#d  & |   4 |  1   0   1   2 |  *  *  *  * 120   * |  0  0  1  1  0
.. co .. ..&#d  & |   3 |  0   1   0   2 |  *  *  *  *   * 120 |  0  0  1  0  1
------------------+-----+----------------+---------------------+---------------
a. .. o.3b.     & |   6 |  3   0   6   0 |  3  0  0  2   0   0 | 20  *  *  *  *  a,b-trip
.. c.3o.3b.     & |  12 |  0  12  12   0 |  0  4  6  4   0   0 |  * 10  *  *  *  b,c-co
ab .. oc ..&#d  & |   6 |  1   2   2   4 |  0  0  1  0   2   2 |  *  * 60  *  *  d-laced a-wedge upon b2c (trip variant)
ab .. .. ba&#d    |   8 |  4   0   4   4 |  2  0  0  0   4   0 |  *  *  * 30  *  recta
.. co3oc ..&#d    |   6 |  0   6   0   6 |  0  2  0  0   0   6 |  *  *  *  * 20  trap (oct variant)