u3o3x

Acronym	...
Name	u3o3x, variation of cuboctahedron, Waterman polyhedron number 3 wrt. face-centered cubic lattice A₃ centered at a shallow hole
Circumradius	sqrt(19/8) = 1.541104
Coordinates	(3/sqrt(8), 3/sqrt(8), 1/sqrt(8)) all permutations, even changes of sign
General of army	(is itself convex)
Colonel of regiment	(is itself locally convex)
Dihedral angles	between u3o and u . x: arccos[-1/sqrt(3)] = 125.264390° between o3x and u . x: arccos[-1/sqrt(3)] = 125.264390°
Face vector	12, 24, 14
Confer	uniform variant: co variations: a3b3c q3o3x f3o3x v3o3x d3o3x

Incidence matrix according to Dynkin symbol

u3o3x

. . . | 12 |  2  2 | 1 2 1
------+----+-------+------
u . . |  2 | 12  * | 1 1 0
. . x |  2 |  * 12 | 0 1 1
------+----+-------+------
u3o . |  3 |  3  0 | 4 * *
u . x |  4 |  2  2 | * 6 *
. o3x |  3 |  0  3 | * * 4

u3/2o3/2x

.   .   . | 12 |  2  2 | 1 2 1
----------+----+-------+------
u   .   . |  2 | 12  * | 1 1 0
.   .   x |  2 |  * 12 | 0 1 1
----------+----+-------+------
u3/2o   . |  3 |  3  0 | 4 * *
u   .   x |  4 |  2  2 | * 6 *
.   o3/2x |  3 |  0  3 | * * 4

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