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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". If you loved this video then why not buy me a coffee: https://ko-fi.com/mathstown 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 11 Dimensions Video:    • 11 Dimensions in 8k -  Mandelbrot Fra...   Accidental Masterpiece:    • Accidental Masterpiece - Mandelbrot F...