Color mapping is a technique used in fractal geometry to assign colors to points in the complex plane based on their properties, such as how quickly they escape to infinity. This process not only enhances the visual representation of fractals like the Mandelbrot set but also helps in revealing the intricate structures and relationships within them, such as those between the Mandelbrot set and Julia sets. By translating numerical data into visual information, color mapping creates stunning images that capture the beauty and complexity of these mathematical objects.
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