Can you create a Mandelbrot set in two dimensions by dynamically iterating and appropriately color coding the showcasing the evolution of the solution. Put everything in a standalone html file in canvas mode The Mandelbrot Set is a famous fractal in mathematics, named after the mathematician Benoît Mandelbrot. It is defined as a set of complex numbers that, when iterated through a specific equation (z^n+1 = z^n^2 + c), do not diverge to infinity. The boundary of the Mandelbrot Set exhibits infinite intricacy, zoom symmetry, and complexity from simplicity—characteristics that define fractals. The set is important in chaos theory and has been studied since the 1980s for its unique properties and visually stunning representations.