LiveGraphics3D Example:
Morphing Polyhedra

Duals: (Tetrahedron) (Cube and Octahedron) Dodecahedron and Icosahedron
Non-Collapsing: (Tetrahedron and Octahedron) (Tetrahedron and Cube) (Tetrahedron and Dodecahedron) (Octahedron and Dodecahedron) (Cube and Dodecahedron)
Collapsing: (Icosahedron and Tetrahedron) (Dodecahedron and Tetrahedron)

The transformation of a dodecahedron into an icosahedron without breaking any of their symmetries is shown here. (Move the mouse into the picture in order to start it.)


Implementation

Martin Kraus, April 15, 2021