Do they still make screensavers that collect these kinds of things these days? When I was a kid, I used to love just staring blankly at computer screensavers.
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.
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
I can't even fathom how you'd end up with such crazily uncharitable interpretation to think that "Created by Paul Bourke" refers to the fractal itself, rather than those specific images of the fractal.
The pages [1] have a mix of "Images/Graphics by", "Compiled/Written/Created/Contributed By", and "(Fractal) Attributed to" going back to 1990. So I think that attribution refers to the content and not just the page itself.
Always love to see new stuff on Paul Bourke's web site!
Probably the first non AI-generated graphic I've seen in a year! :)
>AI
Assorted Imaginaries?
Do they still make screensavers that collect these kinds of things these days? When I was a kid, I used to love just staring blankly at computer screensavers.
ElectricSheep (https://electricsheep.org/) is still around. Based on fractal flames (https://en.wikipedia.org/wiki/Fractal_flame). Freaks out corporate firewalls though, because it looks a lot like a file sharing network.
thanks!
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.
He retained the original name, from 2006 ...
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.
I can't even fathom how you'd end up with such crazily uncharitable interpretation to think that "Created by Paul Bourke" refers to the fractal itself, rather than those specific images of the fractal.
Each and every of the fractal pages here has a similar attribution: https://paulbourke.net/fractals/
I reckon Paul only claims to have created the webpage titled 'Triple Dragon Fractal'.
I take it he claims to have created these particular pictures of the fractal, which is likely true. And yes, the webpage containing them as well.
The pages [1] have a mix of "Images/Graphics by", "Compiled/Written/Created/Contributed By", and "(Fractal) Attributed to" going back to 1990. So I think that attribution refers to the content and not just the page itself.
[1] https://paulbourke.net/fractals/