Metamorphic puzzle

1. Change Cube into Tetrahedron. [3 moves]
2. Change Tetrahedron into Cube. [3 moves]
3. Change Dodecahedron into Cube. [6 moves]
4. Change Cube into Dodecahedron. [12 moves (min?)]
5. Change Cube into Truncated Octahedron. [20 moves (min?)]
6. Change Dodecahedron into Truncated Icosahedron. [45 moves [min?)]

Possbile moves:

• Division (double click on a node); a node is devided into three.
• Commutation (left click two nodes); two nodes are rotated.
• Annihilation (right click two nodes); two nodes are elimitnated.

You can rotate (by left drag), move (by right drag), and zoom (by wheel) the graph.

(Color (black and white) is not important. Moves are based on rewriting rules for graph automata.)