Welcome to Fractal Forums

Fractal Art => Movies Showcase (Rate My Movie) => Topic started by: Fractal universe on February 28, 2016, 06:16:41 PM

Title: Misshapen mandelbrot
Post by: Fractal universe on February 28, 2016, 06:16:41 PM

With Ultra Fractal, I change the Mandelbrot formula and I render to see what it gives.
The news fractals are deformed Mandelbrot sets, with misterious patterns. It's like genetic mutations.

https://www.youtube.com/watch?v=1C0uUS0gWk8

Enjoy

Title: Re: Misshapen mandelbrot
Post by: Chillheimer on February 28, 2016, 07:39:22 PM

Fascinating!
Can you give an example how a chamber formula looks like?

Title: Re: Misshapen mandelbrot
Post by: Fractal universe on February 28, 2016, 11:18:12 PM

Here is the formulas
0:00

Code:

  z=0
  c=pixel
  i=sqrt(-1)
loop:
  z=real(z)^2+2*i*real(z)*abs(imag(z))-imag(z)*abs(imag(z))+c

0:46

Code:

  z=0
  c=pixel
  i=sqrt(-1)
loop:
  z=real(z)^2+2*i*real(z)*imag(z)-imag(z)*abs(imag(z))+c

1:31

Code:

init:
  z=0
  c=pixel
  i=sqrt(-1)
loop:
  z=(real(z)^2+2*i*real(z)*abs(imag(z))-i*imag(z)^2)+c

2:20

Code:

  z=0
  c=pixel
  i=sqrt(-1)
loop:
  z=z^2+c
  z=z+(0.2+0.2*i)*abs(z)

3:07

Code:

  z=0
  c=pixel
  i=sqrt(-1)
loop:
  z=z^2+c
  z=z+0.0009*1/z

3:51

Code:

init:
  z=0
loop:
  z=z^2+pixel
  z=z*abs(z)

4:38

Code:

init:
  z=0
  c=pixel
  i=sqrt(-1)
loop:
  z=z^2+c
  z=z+(-0.05+0.07*i)*abs(i/z)

5:23 and 6:10

Code:

  z=0
  c=pixel
  i=sqrt(-1)
loop:
  z=z^2+c
  z=z+z*(-0.1393+0.1129*i)*abs(z)

Last formula 6:56

Code:

  z=0
  c=pixel
  i=sqrt(-1)
loop:
  z=real(z)^2-2*i*abs(z)*imag(z)+i*imag(z)^2+c

Title: Re: Misshapen mandelbrot
Post by: Fractal universe on May 14, 2016, 12:56:25 AM

I uploaded another compilation of misshapen mandelbrot zooms, like a failed teleportation of M set.

https://www.youtube.com/watch?v=aEUpJdRvtIc
enjoy

Powered by SMF 1.1.21 | SMF © 2015, Simple Machines