• January 17, 2022, 06:36:05 PM

Author Topic:  "Cubic Quasi" variant of Perpendicular Burning Ship  (Read 144 times)

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Offline FractalAlex

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"Cubic Quasi" variant of Perpendicular Burning Ship
« on: October 26, 2021, 10:35:34 PM »
I found something here while experimenting with the cubic Mandelbrot formula by modifiying it. What if I swapped the real and imaginary components of the function? Here's one result:

\[ x_{n+1} = (3x_n^2 - y_n^2)|y| + a \]
\[ y_{n+1} = |x_n^2 - 3y_n^2|x + b \]
\[ z_{n+1} = x_{n+1} + y_{n+1}i \]
where \( a = \Re(c) \) and \( b = \Im(c) \)

Linkback: https://fractalforums.org/index.php?topic=4473.0


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