Acronym ...
Name rico-derived polychoron incorporating does
Circumradius sqrt(3) (1+sqrt(5))/2 = 2.802517

This polychoron was derived from f-rico by placing unit does vertex coincident at its cubes in a consistent way, thereby breaking the symmetry of those down to the 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

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