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The Mandelbrot Fractal Explained!

The Art of Code

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  • Recommended by 1 person: 1 on Stack Overflow and its sister sites.

Beginner. No background in the topic needed.

83K views8 years ago1 recommendation

Graphics and audioComputer scienceRenderingCreative codingMath for programmers

How the Mandelbrot set works mathematically and how to visualize it using complex numbers and shaders.

Twitter: @The_ArtOfCode Facebook: facebook.com/groups/theartofcode/ Patreon: patreon.com/TheArtOfCode The Mandelbrot fractal, or Mandelbrot set as it's sometimes called. Most people have seen its iconic shape and many of us have marveled at its beauty and complexity. It has become somewhat of a poster child for chaos theory and perhaps math in general and it is the go to example for what you can do with 'complex' numbers. It is literally infinitely deep and in my mind, infinitely beautiful. But how does it work? Lets find out! Follow me on twitter @The_ArtOfCode

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1 person recommends this

What people say. Recommended for its helpful visualization techniques that are useful when debugging GLSL shaders.

Ian Macintoshon Stack Overflow • Recommends

On “How to debug a GLSL shader?”

You can try this: https://github.com/msqrt/shader-printf which is an implementation called appropriately "Simple printf functionality for GLSL." You might also want to try ShaderToy, and maybe watch a video like this one (link to this video) from "The Art of Code" YouTube channel where you can see some of the techniques that work well for debugging and visualising. I can strongly recommend his channel as he writes some really good stuff and he also has a knack for presenting complex ideas in novel, highly engaging and and easy to digest formats (His Mandelbrot video is a superb example of exactly that : link to this video) I hope nobody minds this late reply, but the question ranks high on Google searches for…
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