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Schatz Cube, Oloid and Invertible Cube

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Creation quality: 5.0/5 (1 vote)
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  • OloidCircleR65.stl
  • OloidCircleR70.stl

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Publication date 2021-11-10 at 12:02
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Published to Thingiverse on: 2021-11-09 at 15:54
Design number 561234

3D printer file info

3D model description

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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