The things you'll find in higher dimensions

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This video covers a range of what shapes and properties you'd encounter in higher dimensions.

Why there are only 5 platonic solids proof: https://youtu.be/04eVLnPrpEY

Numberphile Video on Klein Bottles: https://www.youtube.com/watch?v=AAsICMPwGPY

Sphere Packing: https://www.quantamagazine.org/sphere-packing-solved-in-higher-dimensions-20160330/

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