mersenneforum.org A lovely puzzle (Galperin): Why do colliding blocks compute π?
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 2020-01-29, 06:47 #1 Batalov     "Serge" Mar 2008 Phi(4,2^7658614+1)/2 2×33×132 Posts A lovely puzzle (Galperin): Why do colliding blocks compute π? Formulation: Solution:
 2020-01-29, 07:58 #2 retina Undefined     "The unspeakable one" Jun 2006 My evil lair 2·19·151 Posts Nice graphics. Good speaker. Interesting problem. Whenever I see pi involved I know there is a way to make a circle somehow in the calculations. Let me think about it.
2020-01-29, 09:33   #3
SmartMersenne

Sep 2017

1158 Posts

Quote:
 Originally Posted by Batalov Formulation: Solution:
3rd movie in that series is also beautiful:

Last fiddled with by SmartMersenne on 2020-01-29 at 09:35

 2020-01-29, 13:08 #4 ATH Einyen     Dec 2003 Denmark 22·3·5·72 Posts All of the videos from 3Blue1Brown has these nice graphics. His series on linear algebra explains it so intuitively with the graphics. It should be taught this way in school: https://www.youtube.com/watch?v=fNk_...2xVFitgF8hE_ab He also have a series on calculus I have not watched yet: https://www.youtube.com/watch?v=WUvT...53DwVRMYO3t5Yr
2020-01-29, 15:44   #5
Dr Sardonicus

Feb 2017
Nowhere

66308 Posts

Quote:
 Originally Posted by retina Whenever I see pi involved I know there is a way to make a circle somehow in the calculations. Let me think about it.
Quote:
 De Morgan was explaining to an actuary what was the chance that a certain proportion of some group of people would at the end of a given time be alive; and quoted the actuarial formula, involving $\pi$, which, in answer to a question, he explained stood for the ratio of the circumference of a circle to its diameter. His acquaintance, who had so far listened to the explanation with interest, interrupted him and exclaimed, "My dear friend, that must be a delusion, what can a circle have to do with the number of people alive at a given time?"
-- W.W. Rouse Ball, Mathematical Recreations and Essays

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