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Triple Dragon Fractal (2020)

paulbourke.net

1–10 of 18 posts

Re: Triple Dragon Fractal (2020)

#5
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.

Re: Triple Dragon Fractal (2020)

#7
post #5

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 att…

[flagged]

Re: Triple Dragon Fractal (2020)

#8
post #5

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 att…

[flagged]

They weren’t “my” cubic fractals in the mid-90s any more than Paul “created” a fractal out of z^3/(z^3+1) + c in 2020. Pretty pictures on his blog are fine, giving it a name and attributing himself as its “creator” when this was well-explored decades earlier with better renderings is the hubris.

Re: Triple Dragon Fractal (2020)

#9
post #5

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 att…

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

Re: Triple Dragon Fractal (2020)

#10
post #8

Earlier quoted context omitted.

[flagged]

They weren’t “my” cubic fractals in the mid-90s any more than Paul “created” a fractal out of z^3/(z^3+1) + c in 2020. Pretty pictures on his blog are fine, giving it a name and attributing himself as its “creator” when this was well-explored decades earlier with better renderings is the hubris.

Nor does he say he was the first to create them. The bro has posted hundreds or more pictures functions, many of which are well known... But well-colored and cropped into interesting locales, and described well. Including a good article that he wrote in a 1990 magazine.

https://paulbourke.net/fractals/

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