4 ms·
It in fact decreases exponentially
by murbard2 10y ago
It in fact decreases exponentially
- dahart 10y agoYeah, wild, I didn't know this. https://en.m.wikipedia.org/wiki/Volume_of_an_n-ball https://en.m.wikipedia.org/wiki/Volume_of_an_n-ball Jeez, my intuition stinks. I initially thought it was obvious why the 3D sphere to unit cube ratio is > 0.5, by analogy to the 2d diamond embedded in a square, but in 3D the embedded octagon volume isn't 0.5. Obvious now, but that'll teach me not to guess. Indeed, rejection sampling the 300 dimensional unit sphere will suck really bad.