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Mandelbrot and Burning Ship Fractals

Mandelbrot and Burning Ship Fractals. Meredith Goebel EPS 109 Fall 2012. Mandelbrot. Burning Ship. Z n+1 =( lRe Z n l ) 2 + i ( lIm Z n l ) 2 + C. Z n+1 =(Z n ) 2 + C. Iterate n+1 times for each point starting with C = complex ( X , Y ) and Z = complex(0,0) . Burning Ship Zoom.

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Mandelbrot and Burning Ship Fractals

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  1. Mandelbrot and Burning Ship Fractals Meredith Goebel EPS 109 Fall 2012

  2. Mandelbrot Burning Ship Zn+1=( lReZnl )2 + i( lImZnl )2 + C Zn+1=(Zn)2 + C Iterate n+1 times for each point starting with C = complex (X,Y) and Z = complex(0,0)

  3. Burning Ship Zoom

  4. Burning Ship + Mandelbrot Zn+1 = (1-x)[ (Zn)2 + C ]+ x[ ( lReZnl )2 + i( lImZnl )2 + C ]

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