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Welcome to Fractal Forums > Fractal Math, Chaos Theory & Research > Mandelbrot & Julia Set > Approximating pi with the m-set (numberphile)
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Author Topic: Approximating pi with the m-set (numberphile)  (Read 2578 times)
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TheRedshiftRider
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« on: October 01, 2015, 07:52:46 PM »
<a href="http://www.youtube.com/v/d0vY0CKYhPY&rel=1&fs=1&hd=1" target="_blank">http://www.youtube.com/v/d0vY0CKYhPY&rel=1&fs=1&hd=1</a>

Found this a few minutes ago. Very interesting. I thought it would ok to share.
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TheRedshiftRider
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« Reply #1 on: October 01, 2015, 08:10:16 PM »
There are quite a lot of points like this. Would it be possible to find new irrational numbers this way?
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« Reply #2 on: October 01, 2015, 08:17:23 PM »
very nice, thank you for sharing

you can try to aproximate by choosing different angles around the m-set ( before you would need to find the farthest point in that direction) and check if some sequences do something similar interesting wink or if they all converge to pi ( which would be quite fascinating as well)
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TheRedshiftRider
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« Reply #3 on: October 01, 2015, 09:18:20 PM »
<a href="https://www.youtube.com/v/r8Ksuc7T-VQ&rel=1&fs=1&hd=1" target="_blank">https://www.youtube.com/v/r8Ksuc7T-VQ&rel=1&fs=1&hd=1</a>

Extra footage. With some more explanation. yes they all converge to pi (which I did not expect).


Would it be possible to use perturbation to speed up this computation proces and would it be faster than other ways to compute pi?

edit by chillheimer: changed to working youtube link
« Last Edit: October 06, 2015, 12:04:39 PM by Chillheimer » Logged
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« Reply #4 on: October 02, 2015, 12:13:20 AM »
ahh.. finally someone who knows her math explains! smiley
beautiful! and thx a lot for the extrafootage..

http://www.fractalforums.com/general-discussion-b77/could-pi-be-considered-a-fractal/
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TheRedshiftRider
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« Reply #5 on: October 02, 2015, 11:41:53 AM »
The timing of these video's is great. At this moment I'm am playing around with these (https://en.wikipedia.org/wiki/Difference_quotient). The second video made me understand them and their uses. smiley
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