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 - https://www.youtube.com/watch?v=7MotVcGvFMg The Mandelbrot Set Explained 2 - https://www.youtube.com/watch?v=dctJ7ISkU-4 Julia Sets, and how they relate to The Mandelbrot Set 3 - https://www.youtube.com/watch?v=5T0cC6KRezo How to Build a Julia Set 4 - https://www.youtube.com/watch?v=oNxPSP2tQEk Number Sequences in the Mandelbrot Set Extra Visuals (No commentary): https://www.youtube.com/watch?v=JYlAPaPsoSY - All orbits of the Mandelbrot https://www.youtube.com/watch?v=-ObPTFNVByk - Period 1 orbits of the Mandelbrot https://www.youtube.com/watch?v=4y8OCqceJjo - Period 2 orbits of the Mandelbrot https://www.youtube.com/watch?v=Gmjk5G2TrSo - Building a Mandelbrot step-by-step https://www.youtube.com/watch?v=0E9fT8hOkVQ - Period 2 orbits of a Julia Set https://www.youtube.com/watch?v=CYdKlN38VHE - Period 3 orbits of a Julia Set https://www.youtube.com/watch?v=XWboHruR6N8 - Period 4 orbits of a Julia Set https://www.youtube.com/watch?v=mt6PYJnnUHg - Period 5 orbits of a Julia Set https://www.youtube.com/watch?v=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