A walkthrough of how the Mandelbrot Set works mathematically and how to render it programmatically. Covers the iterative escape-time algorithm using complex numbers, the radius-2 boundary condition, and coloring pixels based on iteration count. A key practical theme is remapping number ranges — converting pixel coordinates to complex plane coordinates and escape counts to colors — illustrated with pseudocode and a JavaScript-based interactive explorer using Adam7 interlacing and cooperative multitasking.
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