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 8 maximal ones (polar vertices) have a circumradius of sqrt(3/2) = 1.224745, while the other 8 vertices (tropical ones) only are at an radius of sqrt(5)/2 = 1.118034.

The irregular hexagons {(h,H,H)²} have vertex angles h = arccos(-1/3) = 109.471221° resp. H = arccos[-1/sqrt(3)] = 125.264390°.

Incidence matrix according to Dynkin symbol

xu ox4qo&#zc   → height = 0, 
                 where c = sqrt(3)/2 = 0.866025
(tegum sum of x o4q and u x4o)

o. o.4o.     | 8 * | 1  2 0 | 2 1 0  (tropal)
.o .o4.o     | * 8 | 0  2 2 | 1 2 1  (polar)
-------------+-----+--------+------
x. .. ..     | 2 0 | 4  * * | 2 0 0  x
oo oo4oo&#c  | 1 1 | * 16 * | 1 1 0  c
.. .x ..     | 0 2 | *  * 8 | 0 1 1  x
-------------+-----+--------+------
xu .. qo&#zc | 4 2 | 2  4 0 | 4 * *  {(h,H,H)2}
.. ox ..&#c  | 1 2 | 0  2 1 | * 8 *
.. .x4.o     | 0 4 | 0  0 4 | * * 2