manim

Plug for Grant Sanderson’s (3Blue1Brown) Manim and now Manim Community edition. https://github.com/3b1b/manim https://github.com/ManimCommunity/manim

Ciechanowski's work (check Gears and Curves as good examples, but all of them are good) https://ciechanow.ski/archives/ Interactive linear algebra book https://textbooks.math.gatech.edu/ila/ Visualizing quaternions https://eater.net/quaternions Another quaternions visualization tool that reminded me that a few years ago many sites were full of java applets that were the first "explorables". Sometimes I still stumble upon old university websites that leave some space for the applet but it never loads. Sad stuff https://quaternions.online/ Some tools to make them: https://github.com/ManimCommunity/manim https://p5js.org/ https://processing.org/

For anyone wondering what 3Blue1Brown is, it's a top Youtube channel with very nicely made explanatory videos for math. The videos on linear algebra in particular are worth it, especially if you do any sort of machine learning: https://www.youtube.com/watch?v=fNk_zzaMoSs. The author of the channel is Grant Sanderson. He has recently given a talk at SIGGRAPH 2021: https://www.youtube.com/watch?v=gvck7ssg9dE. As part of developing his Youtube channel, he has written and open-sourced manim, a library for programatically generating animations written in Python: https://github.com/ManimCommunity/manim/.

https://github.com/topics/linear-algebra?l=jupyter+notebook lists "Computational Linear Algebra for Coders" https://github.com/fastai/numerical-linear-algebra "site:GitHub.com inurl:awesome linear algebra jupyter" lists a few awesome lists with interactive linear algebra resources: https://www.google.com/search?q=site%3Agithub.com+inurl%3Aaw... 3blue1brown's "Essence of linear algebra" playlist has some excellent tutorials with intuition-building visualizations built with manim: https://youtube.com/playlist?list=PLZHQObOWTQDPD3MizzM2xVFit... https://github.com/ManimCommunity/manim

There is also the Manim Community Edition: https://github.com/ManimCommunity/manim/ According to the original Manim's readme, it's recommended to use the Community Edition, since it's updated more often.

Related, if you want to create a code walkthrough video, I wrote code-video-generator [1] It uses Manim [2], an animation library commonly used by Math teachers, and adapted it to code walkthroughs. Just comment code as you do and it generates a video for it. I've been using it to generate visuals for youtube videos [3] with some success. [1] https://github.com/sleuth-io/code-video-generator [2] https://github.com/manimcommunity/manim [3] https://www.youtube.com/watch?v=e21hJnB9J5k&t=2s

Since I last used it, it looks like there has been a lot of work on manim in the community fork [1]. It used to definitely be a fair amount of work to figure things out, but it looks like things are easier now. I remember having to dig through source code for everything and the SVG rendering was a nightmare, but since then there's now some proper documentation [2] and an overhaul of how manim does SVG rendering [3]. Looks like it's much nicer to use now. It's worth messing around with if you haven't used manim before [1] https://github.com/ManimCommunity/manim/ [2] https://docs.manim.community/en/v0.4.0/index.html [3] https://github.com/ManimCommunity/manim/pull/915