Ditrigonary dodecadodecahedron

The ditrigonary dodecadodecahedron, or ditdid, is a quasiregular uniform polyhedron. It consists of 12 pentagons and 12 pentagrams, with three of each joining at a vertex.

It is a faceting of the small ditrigonary icosidodecahedron, using its 12 pentagrams along with 12 additional pentagons.

This polyhedron is abstractly regular, being a quotient of the order-5 pentagonal tiling. Among the non-regular uniform polytopes, it shares this property with the dodecadodecahedron. Its realization may also be considered regular if one also counts conjugacies as symmetries.

This polyhedron is the vertex figure of the ditrigonary dishecatonicosachoron.

Vertex coordinates
Its vertices are the same as those of its regiment colonel, the small ditrigonary icosidodecahedron.