Hacker News new | ask | show | jobs
by anoneng 22 days ago
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.

4 comments

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...

---

Paul's image is a nice rendering of an attractive fractal.

I reckon Paul only claims to have created the webpage titled 'Triple Dragon 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.

[1] https://paulbourke.net/fractals/

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.
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/

Like that complete FRAUD, Leonardo da Vinci, who simply repainted a depiction of 12 apostles seated on one side of a dinner table, with their leader Jesus at the center.

He didn't even create the pigments - those were formed by natural Earth geology!