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: Semiimplicit Newton s Method: Verlet Integration: PoleZero Matching: Math animations made using the communitymaintained 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