Cosmic Heart 1.0

Visualization of relationships between tetrahedron, cube, and dodecahedron

This application demonstrates the curious relationships wherein a tetrahedron can be inscribed in a cube in two different ways and a cube can be inscribed in a dodecahedron in 5 different ways. It also demonstrates a kind of quantum fluctuation or beating as a heart does, in which the tetrahedron oscillates back and forth between the two positions in which it can be inscribed in the cube, and in which the cube oscillates randomly between the 5 positions in which it can be inscribed.

Cosmic Heart 1.0 Tags:
math mathematics polygon polyhedra tetrahedron cube dodecahedron phi inscribe circumscribe platonic platonicsolid 3dimensional

Cosmic Heart 1.0 system requirements:
32-bit OS