The unit here was chosen as the cubic edge of C₃*.

By the very definition of Waterman polyhedra, not necessarily all vertices are on the same sphere. In here the 24 maximal ones (blue vertices) have a circumradius of sqrt(19)/2 = 2.179449, while the other 6 vertices (black ones) only are at an radius of 2.

Incidence matrix according to Dynkin symbol

Qo3oq4ox&#ze   → height = 0, 
                 where Q = sqrt(8) = 2.828427 (pseudo), e = sqrt(11)/2 = 1.658312
(tegum sum of Q-oct and (q,x)-tic)

o.3o.4o.    | 6  * |  8  0  0 |  4  4 0  (black)
.o3.o4.o    | * 24 |  2  2  1 |  2  2 1  (blue)
------------+------+----------+--------
oo3oo4oo&#e | 1  1 | 48  *  * |  1  1 0  e
.. .q ..    | 0  2 |  * 24  * |  1  0 1  q
.. .. .x    | 0  2 |  *  * 12 |  0  2 0  x
------------+------+----------+--------
.. oq ..&#e | 1  2 |  2  1  0 | 24  * *
.. .. ox&#e | 1  2 |  2  0  1 |  * 24 *
.o3.q ..    | 0  3 |  0  3  0 |  *  * 8