By the very definition of Waterman polytopes, not necessarily all vertices are on the same sphere. However in here both layers of mutually inverted (u,x)-srip clearly belong to the same radius.

Incidence matrix according to Dynkin symbol

uo3ox3xo3ou&#zq   → height = 0
                    where u = 2 pseudo

o.3o.3o.3o.     & | 60 |   4   4 |  2  2  2   6 |  1  3  2
------------------+----+---------+--------------+---------
.. .. x. ..     & |  2 | 120   * |  1  1  0   1 |  1  1  1  x
oo3oo3oo3oo&#q    |  2 |   * 120 |  0  0  1   2 |  0  2  1  q
------------------+----+---------+--------------+---------
.. o.3x. ..     & |  3 |   3   0 | 40  *  *   * |  1  0  1
.. .. x.3o.     & |  3 |   3   0 |  * 40  *   * |  1  1  0
uo .. .. ou&#zq   |  4 |   0   4 |  *  * 30   * |  0  2  0
.. ox .. ..&#q  & |  3 |   1   2 |  *  *  * 120 |  0  1  1
------------------+----+---------+--------------+---------
.. o.3x.3o.     & ♦  6 |  12   0 |  4  4  0   0 | 10  *  *
uo3ox .. ou&#zq & ♦  9 |   6  12 |  0  2  3   6 |  * 20  *
.. ox3xo ..&#q    ♦  6 |   6   6 |  2  0  0   6 |  *  * 20