This polychoron was derived from f-rico by placing unit does in vertex coincident position at its cubes in a consistent way, thereby breaking the symmetry of those down to their pyritohedral subsymmetry. The full polytope then is nothing but the convex hull of the so far obtained substructure.

Incidence matrix

96   * |   6   0   0 |   6   3  0  0 |  2  3  0
 * 288 |   2   1   2 |   3   2  2  1 |  1  3  1
-------+-------------+---------------+---------
 1   1 | 576   *   * |   2   1  0  0 |  1  2  0  x
 0   2 |   * 144   * |   2   0  2  0 |  1  2  1  x
 0   2 |   *   * 288 |   0   1  1  1 |  0  2  1  v
-------+-------------+---------------+---------
 2   3 |   4   1   0 | 288   *  *  * |  1  1  0  x5o
 1   2 |   2   0   1 |   * 288  *  * |  0  2  0  ov&#x
 0   6 |   0   3   3 |   *   * 96  * |  0  1  1  x3v
 0   3 |   0   0   3 |   *   *  * 96 |  0  1  1  v3o
-------+-------------+---------------+---------
 8  12 |  24   6   0 |  12   0  0  0 | 24  *  *  x5o3o
 3   9 |  12   3   6 |   3   6  1  1 |  * 96  *  vov3ofx&#x
 0  12 |   0   6  12 |   0   0  4  4 |  *  * 24  x3v3o