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".

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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 -    • 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
Includes content from:
Music: https://audionautix.com
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Accidental Masterpiece:    • Accidental Masterpiece - Mandelbrot F...