#### Mandelbrot Set Basics

Introduction Fractal To Desktop renders the Mandelbrot Set onto your desktop. The Mandelbrot Set is defined by the equation Z^2+C. If you’ve seen the video on the homepage, this probably makes no sense. How can an equation this simple create shapes like the Mandelbrot Set? Complex Numbers Firstly, Z and C are not normal numbers, they’re complex numbers. Complex numbers follow the format a+bi where "a" is the real number ,"b" is the imaginary number, and "i" is the square root of negative 1. When showing the Mandelbrot Set, you’re seeing the complex plane where the x-axis contains the real number component and the y-axis contains the imaginary number component. What this means is that this function takes in two complex numbers and outputs a different complex number that can ...

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