@프랙탈 - 프랙탈 공식(Formulas)Ⅰ

프랙탈 공식(Formulas)Ⅰ

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 12:44:31 | Hit : 1629

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LORENZ 3D4

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lorenz3d4.gif (12.5 KB)

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LORENZ 3D4

    Lorenz four lobe attractor - orbit in three dimensions.
    The original formulas were developed by Rick Miranda and Emily Stone.
      z(0) = y(0) = z(0) = 1;
      x(n+1) = x(n) +(-a*dt*x(n)^3
         + (2*a*dt+b*dt-z(n)*dt)*x(n)^2*y(n) + (a*dt-2*dt)*x(n)*y(n)^2
         + (z(n)*dt-b*dt)*y(n)^3) / (2 * (x(n)^2+y(n)^2))
      y(n+1) = y(n) +((b*dt-z(n)*dt)*x(n)^3 + (a*dt-2*dt)*x(n)^2*y(n)
         + (-2*a*dt-b*dt+z(n)*dt)*x(n)*y(n)^2
         - a*dt*y(n)^3) / (2 * (x(n)^2+y(n)^2))
      z(n+1) = z(n) +(2*x(n)*dt*x(n)^2*y(n) - 2*x(n)*dt*y(n)^3 - c*dt*z(n))
    Parameters are dt, a, b, and c.

LORENZ 3D3

LORENZ 3D4

MAGNET 1J

MAGNET 1M

MAGNET 2J

MAGNET 2M

MANDEL4

MANDEL FN

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