Cosmic Heart This application was created to illustrate the ways in which specific geometrical shapes can be inscribed in others.
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Cosmic Heart Tags

cube quantum build relationships tetrahedron image tetrahedron dodecahedron relationships we heart it puk scan simcard archos video converter backlinks wikicheckers cosmic crush jpg ls magazine apps khusus nokia cosmic freecell facebook heart cosmic bowling cosmic bug

Cosmic Heart Description

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. 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 5 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 situation is definitely more aesthetically pleasing than if the two fluctuation time frames were not synchronized.

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