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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 15:29:20 | Hit : 2222
Subject   COMPLEX NEWTON
File No.
   complexnewton.gif (33.1 KB) Download : 52

COMPLEX NEWTON

    Newton fractal types extended to complex degrees. Complexnewton
    colors pixels according to the number of iterations required to
    escape to a root. Complexbasin colors pixels according to which
    root captures the orbit. The equation is based on the newton
    formula for solving the equation z^p = r
      z(0) = pixel;
      z(n+1) = ((p - 1) * z(n)^p + r)/(p * z(n)^(p - 1)).
    Four parameters: real & imaginary parts of degree p and root r.


CIRCLE
 

COMPLEX BASIN
 

COMPLEX NEWTON
 

DIFFUSION

FN+FN(PIX)
 

FN(Z*Z)
 

FN*FN
 

FN*Z+Z
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