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Banach–Tarski paradox

math Maturity 7-9

Imagine you have one ball.

Banach-Tarski Paradox.svg
Banach-Tarski Paradox.svg
You can cut it into pieces. Then you move the pieces. You can make two balls! They look just like the first. It sounds like magic. Can you think of a way?
Cayley backward.gif
Cayley backward.gif

41 words
🖼️ Images & Media (3)
File:Banach-Tarski Paradox.svg
Banach-Tarski Paradox.svg
File:Cayley backward.gif
Cayley backward.gif
File:Paradoxical decomposition F 2.svg
Paradoxical decomposition F 2.svg
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📚 Content adapted from Wikipedia | Readability: FK 12.7 | Vital Level 5