Golden Rectangular Solid 1.0

One might wonder if there is 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 rectangular solid. The 3D analogue to the 2D golden rectangle does indeed exist, and is depicted by this application.

See also: math, mathematics, phi, golden, rectangle, golden-rectangle, embed, embedded, sequence, series, fibonacii

Cosmic Heart 1.0

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 within the dodecahedron.

See also: math, mathematics, polygon, polyhedra, tetrahedron, cube, dodecahedron, phi, inscribe, circumscribe, platonic, platonic-solid, 3D, 3-dimensional