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 - https://youtu.be/7MotVcGvFMg The Mandelbrot Set Explained
2 - https://youtu.be/dctJ7ISkU-4 Julia Sets, and how they relate to The Mandelbrot Set
3 - https://youtu.be/5T0cC6KRezo How to Build a Julia Set
4 - https://youtu.be/oNxPSP2tQEk Number Sequences in the Mandelbrot Set

Extra Visuals (No commentary):
https://youtu.be/JYlAPaPsoSY - All orbits of the Mandelbrot
https://youtu.be/-ObPTFNVByk - Period 1 orbits of the Mandelbrot
https://youtu.be/4y8OCqceJjo - Period 2 orbits of the Mandelbrot
https://youtu.be/Gmjk5G2TrSo - Building a Mandelbrot step-by-step
https://youtu.be/0E9fT8hOkVQ - Period 2 orbits of a Julia Set
https://youtu.be/CYdKlN38VHE - Period 3 orbits of a Julia Set
https://youtu.be/XWboHruR6N8 - Period 4 orbits of a Julia Set
https://youtu.be/mt6PYJnnUHg - Period 5 orbits of a Julia Set
https://youtu.be/wxkuQdXcp70 - Period 6 orbits of a Julia Set

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

Видео How to Build a Julia Set канала The Mathemagicians' Guild