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me: show that as the number of dimensions increases, the ratio between the volume of an n-dimensional sphere & an n-dimensional cube approaches 0 my students: https://twitter.com/turing_police/status/1138945095749627905 …
That’s just because the volume of an n dimensional sphere goes to zero
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/QvsQJkAuc2Twitter may be over capacity or experiencing a momentary hiccup. Try again or visit Twitter Status for more information.
