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Prince Rupert's cube: A cube can fit through a square hole drilled through another cube its size, or even slightly smaller. Now a Good Article on Wikipedia, https://en.wikipedia.org/wiki/Prince_Rupert%27s_cube

I've been wondering: is it possible to make Prince Rupert's Borromean rings, by drilling square holes into three unit cubes, each simultaneously passing through the hole in the next one?

Tim Hutton@timhutton@mathstodon.xyz@11011110 I had to try it. Here's two nested cubes. It looks like a third one won't fit without intersecting I would say from eyeballing it.

3D viewer (and you can download the file): https://github.com/timhutton/timhutton.github.io/blob/master/assets/prince_ruperts_cube.stl (CC BY-SA 4.0)