While I was developing Unfolder I discovered that it's possible to unfold manifold meshes and foams.
Here are the results of some experiments with unfolding manifold meshes.
icosahedron stellation
regular tetrahedron with its octahedron inside
Octahedron with cubeoctahedron inside.
Cube with tetrahedron inside (impossible)
Made with Unfolder for Blender
© Matthew Chadwick 2005