V.M. #1: Mandelbrot Fractal

About This Series

Many people find Maths very intimidating. I personally find Mathematics a very intereseting subject. And I always asked myself this question:-

"Wouldn't it be great if were able to visualize the true beauty of maths?"

And to answer to this is: Visualizing Maths , a series of projects where I will be taking on various mathematical concepts and try to show you the beautiful side of maths.

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What Are Fractals?

In mathematics, fractal is a term used to describe geometric shapes containing detailed structure at arbitrarily small scales, usually having a fractal dimension strictly exceeding the topological dimension.

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About Mandelbrot Set

The Mandelbrot Set is the set of complex numbers $c$ for which the function $f_c(z) = z^2 + c$ does not diverge to infinity when iterated from $z=0$, i.e., for which the sequence$f_c(0), \space f_c(f_c(0)), \space f_c(f_c(f_c(0)))$ etc., remains bounded in absolute value.

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Snapshot

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How To Use

• I used Unity3D 2021.2.12f1. Hence in order to view this on your system you need atleast same version or above.

Keyboard Controls:

• W: Move Up
• A: Move Left
• S: Move Down
• D: Move Right
• Arrow Up: Zoom In
• Arrow Down: Zoom Out
• Arrow Left: Rotate Counter-Clockwise
• Arrow Right: Rotate Clockwise

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License

MIT License