Prince Rupert's Cube: A Tilted Passage Through Geometry

Explore the famous geometric paradox: a cube through a hole in another cube, with a side length about 1.06066 times larger. We trace the tale from Prince Rupert's 1693 wager through Wallis and Newland, explain the tilted-square tunnel that makes it possible, and show how 3D printing makes the paradox tangible. We also touch on Rupert-type properties in other polyhedra, recent work claiming counterexamples, and higher-dimensional analogues.

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