How to Build a Julia Set скачать в хорошем качестве

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! If you loved this video then why not buy me a coffee: https://ko-fi.com/mathstown In this series: 1 -    • The Mandelbrot Set Explained   The Mandelbrot Set Explained 2 -    • Julia Sets, and how they relate to The Man...   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 Mandelbro...   - All orbits of the Mandelbrot    • [Extra Visual] All Period 1 orbits of the ...   - Period 1 orbits of the Mandelbrot    • [Extra Visual] All Period 2 orbits of the ...   - Period 2 orbits of the Mandelbrot    • [Extra Visual] Building a Mandelbrot Set S...   - Building a Mandelbrot step-by-step    • [Extra Visual] Period 2 orbits of a Julia Set   - Period 2 orbits of a Julia Set    • [Extra Visual] Period 3 orbits of a Julia Set   - Period 3 orbits of a Julia Set    • [Extra Visual] Period 4 orbits of a Julia Set   - Period 4 orbits of a Julia Set    • [Extra Visual] Period 5 orbits of a Julia Set   - Period 5 orbits of a Julia Set    • [Extra Visual] Period 6 orbits of a Julia Set   - Period 6 orbits of a Julia Set This page offered some inspiration for this video: https://www.karlsims.com/julia.html