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 example shows a transformation of a dodecahedron into a tetrahedron preserving the discrete rotational symmetries of the tetrahedron. (In order to start the animation move the mouse into the picture.)


Implementation

Martin Kraus, April 15, 2021