Seamless Procedural Looping With Pi (Patreon)
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Discovered this setup on CG Cookie and figured it would be awesome to distribute it in a .blend file for others to experiment with.
Since I'm not particularly adept with math or nodes, I'm hopeful that someone else can expand upon it and achieve some impressive outcomes like procedural looping fire, procedural looping raindrops, and more.
Inside the .blend file, you'll find an explanation and a link to the original source for reference.
https://cgcookie.com/downloads/how-pi-makes-a-looping-animation
As long as you follow the formula for looping, it doesn't matter how long or short your animation is, it will be a seamless loop.
You might have to make the end frame 1 seconds shorter than the actual end frame to make it actually seamless.