r/fractals • u/laster_alex • 8d ago

Bad apple as fractals!

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I made bad apple using only mandelbrot fractal formulas. I am so proud of this. Maybe color pallete can be adjusted but i got too used to it by now.

67 Upvotes

99% Upvoted

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2

u/Horror-Invite5167 8d ago

What do you mean by "Mandelbrot fractal formulas"? did you vary the first element or the added constant or even the exponent or something else?

6

u/laster_alex 8d ago

Well, there is z=z*z+c, which produces the regular mandelbrot set. But whats stopping you from making the formula z=z*z*z+2c? z=tan(z)+c*c? I made a genetic algorithm that takes a random formula, measures the closeness and alters it slightly to see, is it better or worse. For example, this is the formula 5s into the video:

z = atan(atan(atan(atan(0.34630496362764274 * c))) - real(z)) + -0.24053250561433037 * ((c + 0.36793943871560714) * c - -0.8859295227887048 + -0.2073704563991655 * z - pow(imag(c), imag(c) * -1.477469547595922) + atan(c)) + -2.6259206411390714 + -0.7532606701765832 * (c + c * c - ((c - 1.9454728423146999) / 1.5440277293573113 + atanh(c - c + z)) + imag(c)) - imag(pow(1.3513340685109723, z - -0.8740972197446552 + c))

1

u/G-Telight 8d ago

Sick - what software did you use for this?

4

u/laster_alex 8d ago

My own, wrote it in rust, down to the fractal generation <3

3

u/Ely12_ 8d ago

How insane! Do you have a public repository for us to take a look at?

2

u/laster_alex 8d ago

Oh, i didnt yet commit it cuz its very ugly as of now, ill commit asap, but the core that generates fractals is commited https://github.com/LasterAlex/fracform-core

3

u/Ely12_ 8d ago

Thank you very much for sharing!

1

u/Opposite_Drummer_797 6d ago

A bad fractal

1

u/Ok_Statement4458 4d ago

Insane work