Cosmic Heart

Description

Cosmic Heart is an 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 five different ways. Furthermore, it 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 five positions in which it can be inscribed in the dodecahedron. These two oscillations can be independent, and although the duration of time which it takes for a quantum fluctuation to occur for the tetrahedron-cube pair need not be the same as the duration of time which it takes for a quantum fluctuation to occur for the cube-dodecahedron pair, in this application these two durations of time are the same. Therefore, when all three polyhedra are visible and they are fluctuating, the tetrahedron will always complete an oscillation within the cube at the same time that the cube completes an oscillation with the dodecahedron. This is more aesthetically pleasing than if the two fluctuation time frames were not synchronized.