The Mandelbrot set is the set of complex numbers c for which the function does not diverge when iterated from, i.e., for which the sequence, etc., remains bounded in absolute value.
The Mandelbrot set is the set of complex numbers c for which the function does not diverge when iterated from, i.e., for which the sequence, etc., remains bounded in absolute value.
For each pixel (Px, Py) on the screen, do:
{
x0 = scaled x coordinate of pixel (scaled to lie in the Mandelbrot X scale (-2.5, 1))
y0 = scaled y coordinate of pixel (scaled to lie in the Mandelbrot Y scale (-1, 1))
x = 0.0
y = 0.0
iteration = 0
max_iteration = 1000
while (x*x + y*y < 2*2 AND iteration < max_iteration) {
xtemp = x*x - y*y + x0
y = 2*x*y + y0
x = xtemp
iteration = iteration + 1
}
color = palette[iteration]
plot(Px, Py, color)
}