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About: The applet plots the attractor of functions of the form

x[t+1] = sin(a*x[t]) + c*sin(a*y[t])
y[t+1] = sin(b*x[t]) + d*sin(b*y[t])
These equations are those described in the book "Chaos in Wonderland: Visual Adventures in a Fractal World" by Clifford A Pickover. The applet works by starting with x[0] = y[0] = 0.1, iterating the equation 2000 times without drawing anything, then continuing to iterate n more types plotting the calculated x and y values at each iteration.

Key Reference:

  • 'r': Reset parameters to initial values (a = -0.942868, b = -1.934392, c = 1.084818, d = 1.015843)
  • '+': Increase the number of iterations (n) by 1000
  • '-': Decrease the number of iterations (n) by 1000
  • 'a': Toggle animation of the a parameter (varies over the range -3 <= a <= 3)
  • 'b': Same as 'a', but for the b parameter
  • 'c': Same as 'a', but for the c parameter
  • 'd': Same as 'a', but for the d parameter

Source code: sketch_jun08a

Built with Processing