Acronym	quitco
TOCID symbol	tOC*
Name	quasitruncated cuboctahedron, great truncated cuboctahedron, stellatruncated cuboctahedron
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Circumradius	sqrt[13-6 sqrt(2)]/2 = 1.062393
Vertex figure	[4,8/3,6/5]/0
Coordinates	(1, sqrt(2)-1, 2 sqrt(2)-1)/2       all permutations, all changes of sign
General of army	q3x4x
Colonel of regiment	(is itself locally convex – no other uniform polyhedral members)
Dihedral angles	between {4} and {8/3}:   135° between {6} and {8/3}:   arccos[1/sqrt(3)] = 54.735610° between {4} and {6}:   arccos(sqrt(2/3)) = 35.264390°
Face vector	48, 72, 26
Confer	general polytopal classes: Wythoffian polyhedra
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Note, that the hexagons do come in parallel pairs here. Accordingly this polyhedron can be blended with narrow hexagonal prisms. The outcome then would be the right, then just isogonal polyhedron 12S-24R-6O. The edge ratio of those prisms then would be S : L = h : w = sqrt(3) : (1+sqrt(2)).

As abstract polytope quitco is isomorphic to girco, thereby replacing octagrams by octagons.

Incidence matrix according to Dynkin symbol

x4/3x3x

.   . . | 48 |  1  1  1 | 1  1 1
--------+----+----------+-------
x   . . |  2 | 24  *  * | 1  1 0
.   x . |  2 |  * 24  * | 1  0 1
.   . x |  2 |  *  * 24 | 0  1 1
--------+----+----------+-------
x4/3x . |  8 |  4  4  0 | 6 *  *
x   . x |  4 |  2  0  2 | * 12 *
.   x3x |  6 |  0  3  3 | *  * 8