Title: Approximating pi with the m-set (numberphile) Post by: TheRedshiftRider on October 01, 2015, 07:52:46 PM https://youtu.be/d0vY0CKYhPY
Found this a few minutes ago. Very interesting. I thought it would ok to share. Title: Re: Approximating pi with the m-set (numberphile) Post by: TheRedshiftRider 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?
Title: Re: Approximating pi with the m-set (numberphile) Post by: cKleinhuis 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 ;) or if they all converge to pi ( which would be quite fascinating as well) Title: Re: Approximating pi with the m-set (numberphile) Post by: TheRedshiftRider on October 01, 2015, 09:18:20 PM https://www.youtube.com/watch?v=r8Ksuc7T-VQ
Extra footage. With some more explanation. yes they all converge to pi (which I did not expect). edit by chillheimer: changed to working youtube link Title: Re: Approximating pi with the m-set (numberphile) Post by: Chillheimer on October 02, 2015, 12:13:20 AM ahh.. finally someone who knows her math explains! :)
beautiful! and thx a lot for the extrafootage.. http://www.fractalforums.com/general-discussion-b77/could-pi-be-considered-a-fractal/ Title: Re: Approximating pi with the m-set (numberphile) Post by: TheRedshiftRider 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. :) |