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Julia set
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=== Pseudocode for normal Julia sets === : <math>f(z) = z^2 + c</math> <syntaxhighlight lang="perl"> R = escape radius # choose R > 0 such that R**2 - R >= sqrt(cx**2 + cy**2) for each pixel (x, y) on the screen, do: { zx = scaled x coordinate of pixel; # (scale to be between -R and R) # zx represents the real part of z. zy = scaled y coordinate of pixel; # (scale to be between -R and R) # zy represents the imaginary part of z. iteration = 0; max_iteration = 1000; while (zx * zx + zy * zy < R**2 AND iteration < max_iteration) { xtemp = zx * zx - zy * zy; zy = 2 * zx * zy + cy; zx = xtemp + cx; iteration = iteration + 1; } if (iteration == max_iteration) return black; else return iteration; } </syntaxhighlight>
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