This part consists of all five Platonic Solids nested one inside another.

From largest to smallest, there is an icosahedron (20 triangular faces), a dodecahedron (12 pentagonal faces), a hexahedron (6 square faces), a tetrahedron (4 triangular faces) and an octahedron (8 triangular faces).

The overall shape is a Rhombic Triacontrahedron, a combination of an icosahedron and dodecahedron).
These can be nested infinitely following the same order.

A soccerball (truncated icosahedron) that has been layered, fractalized and softened a bit. (size: 3 inches)

Here's a very festive truncated icosahedron that knows how to party, or maybe partied just a little too much.

Using just one mathematical expression, this labyrinthine implicit surface was generated and a shell (thickness) was added to the isosurface in MeshLab. Please check out all of the other implicit surfaces in my shop. implicit surfaces at vertigo polka