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Author Topic: Misshapen mandelbrot  (Read 3725 times)
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Fractal universe
Explorer
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Posts: 50



« 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.

<a href="https://www.youtube.com/v/1C0uUS0gWk8&rel=1&fs=1&hd=1" target="_blank">https://www.youtube.com/v/1C0uUS0gWk8&rel=1&fs=1&hd=1</a>

Enjoy
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Chillheimer
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Posts: 972


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chilli.chillheimer chillheimer
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« Reply #1 on: February 28, 2016, 07:39:22 PM »

Fascinating!
Can you give an example how a chamber formula looks like?
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--- Fractals - add some Chaos to your life and put the world in order. ---
Fractal universe
Explorer
****
Posts: 50



« Reply #2 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
« Last Edit: March 27, 2016, 06:22:57 PM by Fractal universe, Reason: I have found the last formula » Logged

Fractal universe
Explorer
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Posts: 50



« Reply #3 on: May 14, 2016, 12:56:25 AM »

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

<a href="https://www.youtube.com/v/aEUpJdRvtIc&rel=1&fs=1&hd=1" target="_blank">https://www.youtube.com/v/aEUpJdRvtIc&rel=1&fs=1&hd=1</a>
enjoy
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