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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. 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.
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 ...
Cover the most boxes to avoid penalty points.
Remove matches to form the required number of squares.
Construct your own path to victory!
Can you spot the exact number of cubes immediately?