The Mandelbrot set is a famous fractal that is defined iteratively using the formula ( z_{n+1} = z_n^2 + c ), where ( z ) starts at ( 0 ) and ( c ) is a complex number. The set consists of all complex ( c ) for which the sequence remains bounded.
Julia sets are fractals similar to the Mandelbrot set but are defined by iterating the function ( z_{n+1} = z_n^2 + c ) starting from a constant ( c ), while ( z ) varies across the complex plane.
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Mandelbrot Set Rendering: Generates high-resolution images of the Mandelbrot set by iterating over points in the complex plane and determining convergence.
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Julia Set Rendering: Allows visualization of Julia sets based on a constant ( c ) chosen by the user.