**Augmenting the great truncated cuboctahedron**

The great truncated cuboctahedron, vertex figure (^{8}/_{3},6,4)

Each hexagonal face of the great truncated
cuboctahedron can be augmented with a hexagonal antiprism. The
6 in the vertex figure is replaced by a (3,3,3) The original vertex figures become (^{8}/_{3},__3,3,3__,4) with new vertices of
(6,3,3,3). All vertices lie on the convex
hull. (Note: I am classing this as an augmentation rather than an
excavation as the hexagons are augmented away from the centroid of the vertex
figure. Great Stella would call this an an excavation as it is toward the centre of the polyhedron).