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 Author Topic: Lonley and disconnected  (Read 666 times) Description: 0 Members and 1 Guest are viewing this topic.
Kalles Fraktaler
Fractal Senior

Posts: 1458

 « on: August 12, 2016, 10:04:31 AM »

Lonley and disconnected

http://www.fractalforums.com/index.php?action=gallery;sa=view;id=19501

This is a variation of formula TheRedShifter4, a*z^2+z^4
Where a=<2,0>

Soon Kalles Fraktaler will be updated with the arbitrary constant a for all TheRedShifter formulas.
 « Last Edit: August 24, 2016, 05:11:46 PM by Kalles Fraktaler » Logged

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TheRedshiftRider
Fractalist Chemist
Global Moderator
Fractal Iambus

Posts: 854

 « Reply #1 on: August 12, 2016, 01:35:53 PM »

Great render. I have had a look at the formula. It seems like juliasets are available from the main set. Increasing the real number of the variable will make the mandelbrot set smaller because values are more likely to escape. Adding that to the z^4 will cause juliasets to appear. The larger the real part, the smaller and "cleaner" the juliasets are.

The real part in- or decreases the size of the sets while the imaginary part rotates parts.

Wait, does that mean the A variable can be eliminated? This will make the number of possible sets so much larger. This is amazing, thank you!

Edit: I see that the variable just changes the critical point. I see the positive versions (f(z)=z^2+z^n+c) can be changed to get the negative (f(z)=z^2-z^n+c) versions.
 « Last Edit: August 12, 2016, 08:20:13 PM by TheRedshiftRider » Logged

Motivation is like a salt, once it has been dissolved it can react with things it comes into contact with to form something interesting.
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