Double tetrahedra

In this series we will be focusing on the Platonic Solids. There are 5 Platonic Solids; the tetrahedron, octohedron, cube, icosahedron nd the dodedecahedron. They have the following characteristics; all faces are equialteral, all faces have the same number of sides, all of the vertices formed by the intersection of the edges lie on a sphere. We do have some quibbling to do here with definitions; What is a cube?, For that matter what is a  line or a sphere? We will argue those points later if anyone feels it necessary. For now we are just going to model each of the Platonic Solids within a sphere showing, perhaps, some relative motions associated.
[FULL ANIMATION]

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