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K I M   M A N T A E ' S   G A L L E R Y     ¡¤     N a m e S t o r y . k r     ¡¤     a F r a c t a l . c o m  
Artist
  @ÇÁ·¢Å» 2005-10-08 13:01:44 | Hit : 4509
Subject   LORENZ
File No.
   lorenz.gif (74.7 KB) Download : 79

LORENZ

Lorenz two lobe attractor - orbit in three dimensions.
    In 2d the x and y components are projected to form the image.
      z(0) = y(0) = z(0) = 1;
      x(n+1) = x(n) + (-a*x(n)*dt) + (a*y(n)*dt)
      y(n+1) = y(n) + ( b*x(n)*dt) - (y(n)*dt) - (z(n)*x(n)*dt)
      z(n+1) = z(n) + (-c*z(n)*dt) + (x(n)*y(n)*dt)
    Parameters are dt, a, b, and c.


MANDEL
 

JULFN+EXP
 

JULFN+ZSQRD
 

JULIA

JULIA4
 

LORENZ
 

LORENZ 3D
 

LORENZ 3D1
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