It shares its vertex arrangement with three other uniform polyhedra: the convex rhombicosidodecahedron, the small dodecicosidodecahedron and the small rhombidodecahedron.
It also has the same vertex arrangement as the uniform compounds of 6 or 12 pentagrammic prisms.
Maeder, Roman. "58: small stellated truncated dodecahedron". MathConsult. https://www.mathconsult.ch/static/unipoly/58.html ↩