Gatorade Bottle Project: From Octahedron to Cube/Hexahedron or Vice Versa, Platonic Duals
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Gatorade Bottle Project: From Octahedron to Cube/Hexahedron or Vice Versa, Platonic Duals The octahedron is the dual of the cube (also known as hexahedron), and vice versa. Each face of one solid becomes a vertex of the other, which explains why twelve rubber bands are needed in either case. The cube and octahedron alternate going on forever with a bit of imagination. Starting with the Octahedron, Build a Big Cube 1. Eight bottles and eight bottom adapters 2. Twelve rubber bands Starting with the Cube, Build a Big Octahedron 1. Six bottles and six bottom adapters 2. Twelve rubber bands References 1. https://en.wikipedia.org/wiki/Platonic_solid 2. http://demonstrations.wolfram.com/DualsOfPlatonicSolids/
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