Giving Personality to Procedural Animations using Math

It’s been a while since the last video hasn’t it? I’ve made quite a bit of progress since the last update, and since one of the things I worked on was some procedurally animated characters, I decided to make a video about the subject. In particular, this video highlights the entire process from initial motivation, to the technical design, technical analysis, and game design considerations. Codeer’s video on procedural animation: Twitter thread about rope animation: Semi-implicit Newton’s Method: Verlet Integration: Pole-Zero Matching: Math animations made using the community-maintained version of manim: Timestamps: 0:00 intro 1:43 second order systems 7:03 implementation 8:55 testing 9:50 stability 13:30 conclusion Music: lofi geek - give me lofi geek - souls lofi geek - real lofi geek - two lifes lofi geek - lights #SoME2