Link to the original Perlin Noise Video: https://youtu.be/ZsEnnB2wrbI Link to Part 1 of this series: https://youtu.be/khayN87yKYQ If you want more Blender tutorial content, geared towards math education, let me know in the comments! --- Over the past few years, I have gotten an enormous amount of value, personally as a creator, from the vast community of content creators making Blender tutorials. My goals with the software relate to using it for making math education videos for the Taylor Series (and a few other unrelated creative projects). Well, I'd like to give something back! --- Useful Perlin Noise Links: Code Behind Perlin Noise: https://rtouti.github.io/graphics/perlin-noise-algorithm Understanding Perlin Noise: https://adrianb.io/2014/08/09/perlinnoise.html A good glossary for terms related to noise: http://libnoise.sourceforge.net/glossary/#lacunarity Dot Product resource: https://betterexplained.com/articles/vector-calculus-understanding-the-dot-product/ --- Links to other amazing Blender tutorial makers: CG Matter: https://www.youtube.com/c/CGMatter Blender Guru: https://www.youtube.com/c/BlenderGuruOfficial Erindale: https://www.youtube.com/c/Erindale Blender Secrets: https://www.youtube.com/c/BlenderSecrets Curtis Holt: https://www.youtube.com/c/CurtisHolt Ducky 3D: https://www.youtube.com/channel/UCuNhGhbemBkdflZ1FGJ0lUQ Polyfjord: https://www.youtube.com/c/Polyfjord --- The Taylor Series aims help people love math. Whether you're a student in a math class or someone who has ever asked the question, "What was the big deal about Calculus?" there's something here for you. Also, I named this the Taylor Series after the mathematical construct created by James Gregory and formally introduced by Brook Taylor ... and I picked this one in particular because my name is Derrick Taylor. :) --- Patreon:https://www.patreon.com/TaylorSeries Facebook:https://www.facebook.com/TheTaylorSeries Twitter:@TheTaylorSeries --- Software Used:Windows 10, OBS, Unity, Blender, Adobe Premiere Pro, Adobe After Effects, Adobe Audition, Google Drive (for script) --- Credits: Intro Music: Japan by Uniq | https://soundcloud.com/uniqofficial/ Music promoted by https://www.chosic.com/free-music/all/ Attribution 4.0 International (CC BY 4.0) https://creativecommons.org/licenses/by/4.0/ All other music is from Audioblocks --- 00:00 - Intro 00:45 - Arrange Input Sockets 02:00 - Store Attributes 03:39 - Calculate Vector Parts 08:52 - Offset Vectors 10:50 - Influence Vectors 15:28 - Dot Products 15:58 - Outro ... https://www.youtube.com/watch?v=pxOjHsEAd0g

But I can odd! (I promise, someday, these jokes, they will be funny. Someday.) Today, you'll learn about Set Builder Notation. But what is it? Well, Set Builder notation is a great way to capture a very technical and precise mathematical idea in what feels like shorthand, which is why I like using it (Yay efficiency!). But as with any shorthand, it can be dense, so I wanted to clarify some details surrounding it. There is a LOT to know regarding that notation, so I cover just the basics. --- Related Videos: The Basic Sets ( https://youtu.be/tMtDViVhAVE ) The Complex Numbers: A Wild Idea ( https://youtu.be/bLKKn_keYhA ) ... https://www.youtube.com/watch?v=3NBOFTZwHEM