@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 12:48:27 | Hit : 1641

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LORENZ 3D3

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lorenz3d3.gif (14.4 KB)

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LORENZ 3D3

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