Prince Rupert's Cube: A Tilted Passage Through Geometry

from Intellectually Curious · host Mike Breault

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.Note: This podcast was AI-generated, and sometimes AI can make mistakes. Please double-check any critical information.Sponsored by Embersilk LLC

Episode metadata supplied by the publisher feed · Published Sep 4, 2025

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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. Note: This podcast was AI-generated, and someti...

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Prince Rupert's Cube: A Tilted Passage Through Geometry

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This episode was published on September 4, 2025.

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