©

The unit here was chosen as the root of A₃.

By the very definition of Waterman polyhedra, not necessarily all vertices are on the same sphere. In here the 6 maximal ones (black vertices) have a circumradius of sqrt(8) = 2.828427, while the other 48 vertices (blue ones) only are at an radius of sqrt(7) = 2.645751.

Incidence matrix according to Dynkin symbol

ax3ox4oq&#zh   → height = 0, where a = 4 (pseudo)
(tegum sum of a-oct and (x,x,q)-girco)

o.3o.4o.    | 6  * |  8  0  0  0 |  4  4 0  0  (black)
.o3.o4.o    | * 48 |  1  1  1  1 |  1  1 1  1  (blue)
------------+------+-------------+-----------
oo3oo4oo&#h | 1  1 | 48  *  *  * |  1  1 0  0  h
.x .. ..    | 0  2 |  * 24  *  * |  0  0 1  1  x
.. .x ..    | 0  2 |  *  * 24  * |  1  0 1  0  x
.. .. .q    | 0  2 |  *  *  * 24 |  0  1 0  1  q
------------+------+-------------+-----------
.. ox ..&#h | 1  2 |  2  0  1  0 | 24  * *  *
.. .. oq&#h | 1  2 |  2  0  0  1 |  * 24 *  *
.x3.x ..    | 0  6 |  0  3  3  0 |  *  * 8  *
.x .. .q    | 0  4 |  0  2  0  2 |  *  * * 12