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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.

Visualize a 3-dimensional golden-rectangular-solid that is analagous to the 2-dimensional golden-rectangle, which can be sub-divided recursively so that each left-over rectangular solid has the same proportions as the original rectangle.