**Augmenting the great ditrigonary
icosidodecahedron**

The great ditrigonary icosidodecahedron, vertex figure (5,3,5,3,5,3)/2

Left: Each
pentagonal face of the great ditrigonary icosidodecahedron can be augmented with a
pentagonal pyramid. Each 5 in the vertex figure is replaced by
(3,3) The original vertex figures become (__3,3__,3,__3,3__,3,__3,3__,3)/2
or (3^{9})/2 with new vertices of (3,3,3,3,3). The triangular
faces of the pyramids are shown in yellow, the original triangular faces are in
blue. All
vertices are on the exterior of the polyhedron.

Right: The above figure is shown with the pentagonal pyramids shown in framework style. A framework of this model is linked here.