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)

This animation shows the transformation of a cube into an octahedron without breaking any of their symmetries. (In order to start it move the mouse into the picture.)


Implementation

Martin Kraus, April 15, 2021