Gatorade Bottle Project: From Octahedron to Cube/Hexahedron or Vice Versa, Platonic Duals

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Gatorade Bottle Project: From Octahedron to Cube or Vice Versa, Platonic Duals The platonic octahedron serves as the dual of the cube. In turn, the cube is the dual of the octahedron. This concept hinges on the idea that each face of one solid transforms into a vertex of the other. As a result, in either case, 12 rubber bands are required. With some imagination, the cube and the octahedron seamlessly alternate. Starting with the Octahedron, Build a Big Cube 1. Eight bottles and eight bottom adapters are needed. 2. Twelve rubber bands are essential. Starting with the Cube, Build a Big Octahedron 1. Six bottles and six bottom adapters are required. 2. Twelve rubber bands are necessary. References 1. https://en.wikipedia.org/wiki/Platonic_solid 2. http://demonstrations.wolfram.com/DualsOfPlatonicSolids/