Title: Continued Fractions in the complex plane Post by: kram1032 on March 11, 2017, 12:56:46 AM This site has a lot of pretty gems, many of them with a fractal-y character.
https://kettenreihen.wordpress.com/ For instance: (https://kettenreihen.files.wordpress.com/2017/02/w0103_0158_plot.png) White parts are real, black parts are imaginary. I assume it's done with a linear double-cover where numbers with a phase of 0 and π are white, ±π/2 is black and all the others are just extrapolated. Title: Re: Continued Fractions in the complex plane Post by: Adam Majewski on March 11, 2017, 08:00:13 AM thx. Very interesting
Adam https://en.wikibooks.org/wiki/Fractals/Continued_fraction Title: Re: Continued Fractions in the complex plane Post by: DarkBeam on March 11, 2017, 10:41:10 AM Nice find :beer:
Title: Re: Continued Fractions in the complex plane Post by: kram1032 on March 12, 2017, 04:11:23 PM Somebody (not the author of that blog) was fascinated by these and made an animation. It's on g+ and technically on YT but I didn't find a away to get to the actual video link, unfortunately. Maybe the forum knows what to do with it anyway. If so, there will be a video below. If not, it'll merely be a link to a video. Regardless, enjoy: https://plus.google.com/u/0/photos/photo/102338185782105926030/6396536393242118658 |