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"Real 3D" Mandy Sliced 1Metal SculptureCover mathematical magazine
Metal Sculpture
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Description: A Mandelbrot fractal based on the equation z = z^2 + c.

Created with the Fractal Science Kit (http://www.fractalsciencekit.com/index.htm)


Ross Hilbert

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Filesize: 655.9kB
Height: 700 Width: 1050
Keywords: fractal science kit mandelbrot 
Posted by: Ross Hilbert June 19, 2009, 06:45:54 PM

Rating: ***** by 1 members.

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Comments (5) rss
Ross Hilbert
Fractal Phenom
Posts: 469

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June 21, 2009, 02:36:49 PM
I too have much to learn. The fun part of fractal exploration is trying out different fractal equations/programs, transformations, and coloring algorithms and seeing what happens. When you find something that looks really cool its like finding hidden treasure!

June 21, 2009, 01:59:00 PM
As you can most likely see from viewing my DA gallery, I don't
actually have a handle on the math involved in fractals as yet.

I just work with the transformations, and plug in different numbers and palettes till I like what I see.  This doesn't
mean I wont keep trying to get fractal math inside my
noggin; I was good with exponential expressions when
I was in school.  Mind you, this was nearly 40 years
Ross Hilbert
Fractal Phenom
Posts: 469

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June 20, 2009, 10:48:41 PM
Thanks Hypnogems!

Yes, it's a 2300X magnification about the point -0.479067325669369 and rotated 90 degrees with a complex transformation applied: f(z) = z/(1+z) - 1/(1-z).

The coloring is based on the minimum of the expression r = p1-p2 where p1/p2 are the orthocenter/incenter of the last 3 orbit points.

June 20, 2009, 09:34:31 AM
Ahhh I see! *as light bulb suddenly  appears over head*
A zoom in on one section, yes?  
June 20, 2009, 09:32:56 AM
Beautiful, Ross!  This looks like no Mandelbrot I've ever seen...

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