What Is Pi General forum
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8 replies. Last post: 2020-12-19
Reply to this topic Return to forumOne fun way to express Pi is in terms of the success probability of certain geometric experiments. The classic one is tossing a needle onto the floor “at random” and asking, what’s the probability it crosses between two floorboards?
https://en.wikipedia.org/wiki/Buffon%27s_needle_problem
Pi is half of the whole it should be.
The strangest way I know to get decimals of Pi, through counting collisions of blocks: https://www.youtube.com/watch?v=jsYwFizhncE 3Blue1Brown video.
Another strange fact that maybe aliens would not discover is the BBP formula allowing to compute the hexadecimal digits of Pi, one by one: https://en.wikipedia.org/wiki/Bailey%E2%80%93Borwein%E2%80%93Plouffe_formula
Carroll, so for n digits of accuracy using a base B numbering system, the ratio of masses must be B^n and the total number of adiabatic collisions is always floor(pi*(B^n)). Of course B is usually 10.
@David there is a sqrt in the mass ratio: sqrt(m2/m1) so if m2 is B^n and m1 is 1 we get B^(n/2) hence floor(pi*(B^(n/2)).