Augmenting the stellatruncated dodecadodecahedron
The stellatruncated dodecadodecahedron, vertex figure (10,10/3,4)
Each decagonal face of the stellatruncated dodecadodecahedron can be augmented with a decagonal antiprism. The 10 in the vertex figure is replaced by a (3,3,3) The original vertex figures become (3,3,3,10/3,4) with new vertices of (10,3,3,3). All vertices lie on the convex hull. (Note: I am classing this as an augmentation rather than an excavation as the decagons 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).