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The unit here was chosen as the small root of A₃.

By the very definition of Waterman polyhedra, not necessarily all vertices are on the same sphere. In here the 8 maximal ones (gray vertices) have a circumradius of sqrt(6) = 2.449490, while the other 24 vertices (green ones) only are at an radius of sqrt(5) = 2.236068.

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

uo3xo4oQ&#zh   → height = 0, 
                 where Q = 2sqrt(2) = 2.828427 (pseudo)
                 and u = 2 (pseudo)
(tegum sum of Q-cube and (u,x)-toe)

o.3o.4o.     | 24 * |  2  2 | 1  2  1  R (green)
.o3.o4.o     |  * 8 |  0  6 | 0  3  3  r (gray)
-------------+------+-------+--------
.. x. ..     |  2 0 | 24  * | 1  1  0  x
oo3oo4oo&#h  |  1 1 |  * 48 | 0  1  1  h
-------------+------+-------+--------
.. x.4o.     |  4 0 |  4  0 | 6  *  *
.. xo ..&#h  |  2 1 |  1  2 | * 24  *
uo .. oQ&#zh |  2 2 |  0  4 | *  * 12  {(r,R)2}