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Douady's Rabbit Flower

Fractal Fractal posted on Aug 14, 2008
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Description


This is another tribute to Adrien Douady, who passed away in 2008. Adrien Douady was a French mathematician and fractal pioneer. This image features a "Douady's Rabbit" figure in it's center. A Douady's Rabbit is a Julia set plot that has pairs of buds on it that look like a rabbit's ears. The plot is from a tendril coming from the spiral of an "elephant" in "Elephant Valley" of the largest baby Mandelbrot on the real axis. It's taken from a baby Mandelbrot on the tendril. The plot uses distance estimate data to calculate a height value for each point. It's plotted with exaggerated height values from a very close point of view. The close point of view creates perspective distortion that makes the "petals" of the flower look like they are radiating from the center of the image. The details of the plot are as follows: Document name: Douady's rabbit flower.FWrk Fractal type: julia Plot size (w,h): 1200, 1200 Maximum iterations: 10000 Center Point (real, imaginary): -1.747808276, -0.001644990015 i Plot Width (real): 8E-09 Julia origin (real, imaginary): -1.747808277001616, -0.001644989673806953 i Source mandelbrot width: 2.5E-09 Color scheme name: Clematis colors Color scheme last modified: 2008-08-14 18:04:00 -0400 Plot uses DE: Yes Plot uses fractaional iterations: Yes Plot height: 1 Peak steepness: 1 Plot flipped: Yes Camera x: 0 Camera y: 0 Camera z: -2.05 Ambient light: 0.2 Directional light: 0.6 Specular light: 0.2 Surface shininess: 100 Light x direction: -1 Light Y direction: 1 Light z direction: 1 Background color red: 75 Background color green: 83 Background color blue: 63 If you have a recent version of FractalWorks you can recreate this plot on your Macintosh by clicking the link below: Fractalworks plot Douady's rabbit flower

Comments (5)


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whizstreet

7:02PM | Thu, 14 August 2008

kwazy wabbit. fine floral.

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bpclarke

8:24PM | Thu, 14 August 2008

Wow... my kind of fractal. It's all about me after all. ;o) Excellent work. Bunny

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kaward

4:38AM | Fri, 15 August 2008

A unique and vibrant floral fractal. I had nor heard of Fractalworks is it a mac only programme?

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DuncanC

9:20AM | Fri, 15 August 2008

kaward, Yes, FractalWorks is mac only. There are lots more sample images, plus a link to download it, in my fractal images gallery on pbase. Regards, Duncan C

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farmerC

1:38PM | Fri, 15 August 2008

wonderful creation.


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