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Author Topic: Fractal Fish  (Read 926 times)
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mjk1093
Forums Freshman
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Posts: 19



« on: March 20, 2010, 03:24:48 PM »

Thought these were neat!



Link for bigger image: http://i.imgur.com/KmNNx.png

Formula: zn+1=zn2+zn-12+zn-22+c
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kram1032
Fractal Senior
******
Posts: 1863


« Reply #1 on: March 20, 2010, 07:55:16 PM »

cute!  Repeating Zooming Self-Silimilar Thumb Up, by Craig
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Timeroot
Fractal Fertilizer
*****
Posts: 362


The pwnge.


WWW
« Reply #2 on: March 21, 2010, 03:26:50 AM »

Formula: zn+1=zn2+zn-12+zn-22+c


Mandel or Julia?  wink
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Someday, man will understand primary theory; how every aspect of our universe has come about. Then we will describe all of physics, build a complete understanding of genetic engineering, catalog all planets, and find intelligent life. And then we'll just puzzle over fractals for eternity.
mjk1093
Forums Freshman
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Posts: 19



« Reply #3 on: March 21, 2010, 07:56:17 AM »

Quote
Mandel or Julia?  wink

Mandel, as indicated by the "c" instead of a specific number. At least I think that's the convention? I'm rather new at this but having a lot of fun! There's a lot of other interesting stuff in that region too. The coordinates are (-0.42421875, -0.35729166667) magnification 275. Here's the code I used in UltraFractal to get the zn-1 and zn-2 recursive elements:

{
init:
  z = 0
  a = 0
  b = 0
loop:
  z = z^@power + a^@power2 + b^@power3 + #pixel
  c=b
  b=a
  a=z
bailout:
  |z| < @bailout
default:
  float param bailout
    default = 1000
    min = 1
    exponential = true
  endparam
  param power
     default = (2,0)
  endparam
  param power2
     default = (2,0)
  endparam
  param power3
     default = (2,0)
  endparam
}

There's a lot of interesting stuff if you set power2=(3,0) and power3=(3,0) as well.
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