Curved Icosahedron and Dodecahedron

First I made the curvy icosahedron:

Then I made the curvy dodecahedron. It was a small miracle that this one could stand up under its own weight. It wiggled around like gelatin when touched.

Then, knowing that these two polyhedra are duals, and realizing that the curvy icosahedron was the right size to fit inside the curvy dodecahedron, I decided to do that:

Tom Magliery