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 (green vertices) have a circumradius of sqrt(5) = 2.236068, while the other 24 vertices (blue ones) only are at an radius of sqrt(19)/2 = 2.179449.

The rhombs {(r,R)²} have vertex angles r = arccos(1/3) = 70.528779° resp. R = arccos(-1/3) = 109.471221°. Esp. rr : RR = sqrt(2).

Incidence matrix according to Dynkin symbol

qo3qq4ox&#zc   → height = 0, 
                 where c = sqrt(3)/2 = 0.866025
(tegum sum of q-toe and (q,x)-tic)

o.3o.4o.     | 24  * |  2  2  0 | 1  1  2 0  (green)
.o3.o4.o     |  * 24 |  0  2  2 | 0  1  2 1  (blue)
-------------+-------+----------+----------
.. q. ..     |  2  0 | 24  *  * | 1  0  1 0  q
oo3oo4oo&#c  |  1  1 |  * 48  * | 0  1  1 0  c
.. .q ..     |  0  2 |  *  * 24 | 0  0  1 1  q
-------------+-------+----------+----------
.. q.4o.     |  4  0 |  4  0  0 | 6  *  * *
qo .. ox&#zc |  2  2 |  0  4  0 | * 12  * *  {(r,R)2}
.. qq ..&#c  |  2  2 |  1  2  1 | *  * 24 *
.o3.q ..     |  0  3 |  0  0  3 | *  *  * 8