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 the transformation of a tetrahedron into a mirrowed copy of itself without breaking any of its symmetries. (In order to start the animation move the mouse into the picture.)

Click on the links above to see the transformations of other regular polyhedra. (Thanks to Verena this example evolved to a kind of systematic gallery.)


Martin Kraus, April 15, 2021