Manim Tutorial: A "very mathematical" Updater Animation example

Описание: Manim is a free and open-source, community-maintained Python library for creating (mathematical) animations originally started by Grant "3blue1brown" Sanderson. This tutorial series is a guided tour of Manim's features.

This episode discusses the mathematical background relevant for a sample scene (the winding number, and normal vector equations), as well as how exactly vectorized mobjects are built from Bézier curves.
We also revisit the topic of episode 4 (   • Manim Tutorial Series E04: Updater Functio...  ): updater functions!

#manim #tutorial #animation #python #programming #math #3blue1brown


Links to resources
Jupyter worksheet: https://mybinder.org/v2/gh/behackl/ma...
- ‪@acegikmo‬'s video essay "The Beauty of Bézier Curves":    • The Beauty of Bézier Curves  
Pomax' Primer on Bézier Curves: https://pomax.github.io/bezierinfo/
A Deep Dive into Manim's internals: https://docs.manim.community/en/stabl...
GitHub repo with series materials: https://github.com/behackl/manim-with...
Manim: https://www.manim.community
Discord: https://manim.community/discord


More about me
Homepage: https://benjamin-hackl.at
Twitch:   / behackl  
Twitter:   / behackl  
Discord: https://benjamin-hackl.at/discord


Music
Album: A Moment Away, by cxlt. x Nuver | Provided by Lofi Records | https://lofigirl.com/blogs/releases/a...
Album: Stories of Synergy, by Tonion x xander. | Provided by Lofi Records | https://lofigirl.com/blogs/releases/s...


---

Video contents:
0:00 Introduction
1:52 Implementation Overview
4:11 When is a point in a circle?
7:41 The Winding Number
14:31 Vectorized Mobjects, Bézier Curves
22:54 Normal Vector Line Equation
32:30 color_updater and play calls
35:45 Outro