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Old 2020-01-29, 06:47   #1
Batalov
 
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Lightbulb A lovely puzzle (Galperin): Why do colliding blocks compute π?

Formulation:


Solution:
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Old 2020-01-29, 07:58   #2
retina
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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.
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Old 2020-01-29, 09:33   #3
SmartMersenne
 
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Quote:
Originally Posted by Batalov View Post
Formulation:


Solution:
3rd movie in that series is also beautiful:


Last fiddled with by SmartMersenne on 2020-01-29 at 09:35
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Old 2020-01-29, 13:08   #4
ATH
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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
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Old 2020-01-29, 15:44   #5
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Quote:
Originally Posted by retina View Post
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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