It's still astounding to me that the 'fractal trick' starts working in R3 and no... | Hacker News

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		wnkrshm on Jan 23, 2023 \| parent \| context \| favorite \| on: The Point of the Banach-Tarski Theorem It's still astounding to me that the 'fractal trick' starts working in R3 and not already in R2.

moloch-hai on Jan 23, 2023 [–]

Agreed, each added dimension adds wacky surprises.

Packing spheres into a cube leaves you a pretty comprehensible space in the middle. Pack hyperspheres into a hypercube, and all hell breaks loose.

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