How to Build a Julia Set

In this video we examine how to build a Julia Set by making repeated remapping of a circle on the complex plane. The technique is quite interesting because it allow us to visually understand why Julia Sets have some of their properties, such as rotational symmetry. This video only glosses over the mathematics, and don't worry if you don't exactly understand what is going on. The important part is to look at Julia Set being formed visually. I'm certainly not the first to use this technique, but there isn't much YouTube content, so I've included quite a few visuals, and everything is rendered at a super high 8k resolution. Consider playing the final visuals at slower speeds if you wish to study them. Please subscribe!

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In this series:
1 -    • The Mandelbrot Set Explained   The Mandelbrot Set Explained
2 -    • Julia Sets, and how they relate to Th...   Julia Sets, and how they relate to The Mandelbrot Set
3 -    • How to Build a Julia Set   How to Build a Julia Set
4 -    • Number Sequences in the Mandelbrot Set   Number Sequences in the Mandelbrot Set

Extra Visuals (No commentary):
   • [Extra Visual] All orbits of the Mand...   - All orbits of the Mandelbrot
   • [Extra Visual] All Period 1 orbits of...   - Period 1 orbits of the Mandelbrot
   • [Extra Visual] All Period 2 orbits of...   - Period 2 orbits of the Mandelbrot
   • [Extra Visual] Building a Mandelbrot ...   - Building a Mandelbrot step-by-step
   • [Extra Visual] Period 2 orbits of a J...   - Period 2 orbits of a Julia Set
   • [Extra Visual] Period 3 orbits of a J...   - Period 3 orbits of a Julia Set
   • [Extra Visual] Period 4 orbits of a J...   - Period 4 orbits of a Julia Set
   • [Extra Visual] Period 5 orbits of a J...   - Period 5 orbits of a Julia Set
   • [Extra Visual] Period 6 orbits of a J...   - Period 6 orbits of a Julia Set

This page offered some inspiration for this video: https://www.karlsims.com/julia.html