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Welcome to Fractal Forums > Fractal Math, Chaos Theory & Research > Other types > Continued Fractions in the complex plane
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Author Topic: Continued Fractions in the complex plane  (Read 8019 times)
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kram1032
Fractal Senior
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Posts: 1863
« 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:

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.
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Adam Majewski
Fractal Lover
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Posts: 221


WWW
« Reply #1 on: March 11, 2017, 08:00:13 AM »
thx. Very interesting

Adam

https://en.wikibooks.org/wiki/Fractals/Continued_fraction
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DarkBeam
Global Moderator
Fractal Senior
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Posts: 2512


Fragments of the fractal -like the tip of it
« Reply #2 on: March 11, 2017, 10:41:10 AM »
Nice find A Beer Cup
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No sweat, guardian of wisdom!
kram1032
Fractal Senior
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Posts: 1863
« Reply #3 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
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