That means, for every point on a mandelbrot set, you can generate a Julia set. It is generated by sampling the centerpoint of all possible Julia sets.
The Mandelbrot set is the set if all fully connected Julia sets. If the centerpoint (0,0) of a Julia set is a prisoner point, then the Julia set is completely connected if it is not a prisoner point the Julia set is a Cantor dust. A disconnected Cantor dust of points (for more on Cantor dust.
There is a full Julia set for all possible values of C C is a 2-dimensional value on the complex plane.Ģ. A Julia set is the set of points on the complex plane that when squared and added iteratively to a constant (C), the 'prisoner' points fail to leave a circle of radius 2.
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