Julia Sets, and how they relate to The Mandelbrot Set

A little video introducing Julia Sets as a follow-up to the Mandelbrot Explained video. In this video we have a little look at the Julia Sets and where we find them embedded into the Mandelbrot Set. This was going to be a longer video, but I've broken it into two parts, in the next video we look into how to "build a Julia Set" using complex transformations. Please subscribe!

Some terminology: In this video I refer to the set being "dust" because it is "infinitly disconnected", in more mathematical contexts you may see this referred to as "Cantor set" or "Fatou Dust".

In this video:
00:00 Introduction
00:33 Julia Sets
02:54 Types of Julia Sets
03:57 Map of the Julia Sets
05:18 Mandelbrot Set vs Julia Sets
06:10 Embedded Julia Sets in the Mandelbrot Set
07:18 The Mandelbrot Set Remembers
11:55 A Julia Set Zoom

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
Includes content from:
Music: https://audionautix.com
11 Dimensions Video: https://www.youtube.com/watch?v=X-_LkF9V8AM
Accidental Masterpiece: https://www.youtube.com/watch?v=dSA7OZHdaoA

Видео Julia Sets, and how they relate to The Mandelbrot Set канала The Mathemagicians' Guild