Exotic fractal related to Cubic Flying Squirrel

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Offline greentexas

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« on: February 02, 2018, 01:26:16 AM »
This fractal is one of the fractals that stardustforever said:
"I have not cataloged all 64 combinations, so many fractals are as of yet undiscovered. Here are the more interesting 3rd order fractal variants I have cataloged so far."

This is one of the 64 combinations. It isn't as interesting as the other cubic fractals he discovered, but if he put it on his list, it should logically be called the "Cubic Quasi Mandelbrot" (which isn't the best name since it looks more like the cubic Mandelbrot, to begin with).

Formula is
zr = -abs(zr*zr - 3*zi*zi)*(zr) + JuliaR;
zi = (3*zr*zr - zi*zi)*zi + JuliaI;

I attached an unzoomed picture and two zoomed in pictures.

I might release a short zoom movie using ChaosPro soon using this fractal.

Linkback: https://fractalforums.org/share-a-fractal/22/exotic-fractal-related-to-cubic-flying-squirrel/796/

Offline claude

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« Reply #1 on: February 02, 2018, 04:40:18 PM »
Quote
it should logically be called
Do you have a reference for this naming system?

Offline greentexas

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« Reply #2 on: February 02, 2018, 05:49:38 PM »
CORRECTION: I screwed up again.

Hybridizing this fractal with the Cubic Quasi BS gives the 3rd BS Partial Real. The interesting part is that the Buffalo parts are completely removed. That was actually an illogical label to give that fractal. :(

Offline utak3r

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« Reply #3 on: February 19, 2018, 11:00:45 PM »
Interesting beast  8)
Some shots from me, done very quickly.


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