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haha yeah that's true i was just trying to formulate a tweet real quick that referenced turing's :p though less advanced students could guess what'll happen by comparing 2d, then 3d, ... & seeing the ratio getting smaller. i wanna say ive seen that somewhere but can't remember
maybe it was one of my previous tweets ;)https://twitter.com/InertialObservr/status/1124078729809072131?s=20 …
If you sum over the volumes of all 2k-dimensional unit spheres, that sum converges to e^π.
I have no idea why this should be true.. pic.twitter.com/QvsQJkAuc2
i think i am remembering some other more elementary context but that's incredibly beautiful what you just linked to, how have i never seen/noticed this before?!
now my brain is gonna be stuck on "....what does it mean??" for the night lol
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