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# Category Archives: Mathematics

## Julia and Mandelbrot Set Explorer

I will be guiding you through the process of making your own fractal explorer in this post, showcasing the structures of the Mandelbrot and Julia sets, as well as the relationship between them. We will be building off of the … Continue reading

Posted in Fractal, Julia set, Mandelbrot Set, Mathematics, OpenGL
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## Julia Sets

If you do not know of the Mandelbrot set, I highly recommend you read my post on the subject first or any other article, before tackling this topic. That said, the Julia sets have a lot in common with the … Continue reading

Posted in Fractal, Julia set, Mandelbrot Set, Mathematics
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## Mandelbrot Set Explorer

In this post, I will go through step by step how one can make their own Mandelbrot set “explorer,” allowing one to zoom in and out of different parts of the fractal. At the end, the program will produce imagery … Continue reading

Posted in Fractal, Mandelbrot Set, Mathematics, OpenGL
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## The Mandelbrot Set

Definition The complex plane and the fractal’s iterative equation. The Mandelbrot set is a fractal, or self-similar pattern, defined as, “the set for complex numbers c for which the function f(z) = z^2 + c does not diverge when iterated from z = 0.” However, … Continue reading

Posted in Fractal, Mandelbrot Set, Mathematics
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