Spiked Pentakis Dodecahedron by Meenakshi Mukerji
Number of units: 60
Designer: Meenakshi Mukerji
Sonobe units by Dave Mitchell: Part I and Part II. To assemble 60 such units, see Instructions for Assembly with Sonobe units (PDF) — this is a free chapter from Meenakshi Mukerji's book: Marvelous Modular Origami (amazon) (2007, 92 pages). I had to spend some time figuring out what the instructions meant.
This model confounded me for several minutes. From the diagrams in the references above, I could not visualize the final shape. Eventually, I did succeed.