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by anoneng
22 days ago
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That is some hubris for Paul to claim to have “created” this fractal in December 2020. Yes he coded up and rendered some nice images from this particular function. But this class of rational maps in complex dynamics has been studied by actual mathematicians for decades and there are many extremely similar visualizations. It’s a nice little exercise but there’s very minimal real original contribution that deserves attribution here. You could render this in Fractint in DOS just by plugging that function in, I explored many similar cubic fractals with Fractint back in the mid-90s. And would have earlier if my parents could have afforded a 386 before then. It was released in 1988. |
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https://au.pinterest.com/pin/triple-dragon--1742330793037990... fractaldomains.com Triple Dragon Triple dragon fractal. Equation: f(z) = z^3/(z^3 + 1) + c, c = 0.18 + 0.68 i
https://www.fractaldomains.com/2011/08/triple-dragon/
https://web.archive.org/web/20200000000000*/https://www.frac... https://web.archive.org/web/20200209172651/http://www.fracta...
Fractal Domains Exploring fractals with your Macintosh
Triple Dragon September 3, 2006 Click image to see full size
Julia set using square orbit trap. The formula used was f(z) = z^3/(z^3 + 1) + c, c = 0.18 + 0.68 i Downloads and extras “Triple Dragon” Parameter File
Copyright © 2011 Dennis C. De Mars
triple-dragon.zip : 1058 3-Sep-2006 20:06:36 Triple Dragon DMrsFra2...
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Paul's image is a nice rendering of an attractive fractal.