It shares its edge arrangement with the icosidodecahedron (its convex hull, having the pentagonal faces in common), and with the small icosihemidodecahedron (having the decagonal faces in common).
Maeder, Roman. "51: small dodecahemidodecahedron". MathConsult. https://www.mathconsult.ch/static/unipoly/51.html ↩