Schatz Cube, Oloid and Invertible Cube

Schatz Cube, Oloid and Invertible Cube

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#### Schatz Cube, Invertible Cube on the Oloid ##### In honor of Paul Schatz (December 22, 1898 - March 7, 1979) How is Schatz's invertible cube related to his oloid? Well, it is a beautiful relationship worth exploring in any K-12 STEM class. Having designed a 3D printable invertible cube (https://www.thingiverse.com/thing:5089176 ), I decided to tweak the interlocking circles designed a while ago, to allow the two models to fit into each other, with some freedom. The circle has a radius of 65 mm (or 70mm), which supports an invertible cube with a cube-edge length of 75mm. #### How to Assemble 1. Print two copies of the same interlocking circle (try 65mm first) and make an oloid base. 2. Print and assemble an invertible cube (https://www.thingiverse.com/thing:5089176) 3. Velcro or glue a tetrahedron to the oloid base. Make sure the two hinges are orthogonal to the two circles, respectively. (Refer to figures). Play, think, ask questions, and pass them on. Have fun! ####References 1. Bu, L. https://www.thingiverse.com/thing:5089176 2. Bu, L. https://www.thingiverse.com/thing:3991711

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Math Art