@프랙탈 - 프랙탈 공식(Formulas)Ⅱ

프랙탈 공식(Formulas)Ⅱ

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

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@프랙탈

2005-10-08 15:29:20 | Hit : 2182

Subject

COMPLEX NEWTON

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complexnewton.gif (33.1 KB)

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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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