How to make a perfect loop with a noise map?

[Is-boset]

you can make a loop in a ping pong, i don't know if works for you.
in phase for example in frame 0 value 0, in frame 50 value 10, and in frame 100 value 0 again.

i hope can solve your problem!

[EricChadwick]

I don't do many tutorials, but I just happen to have one for this very thing...

Looping a Procedural Texture
http://www.ericchadwick.com/examples/looping_a_procedural_texture.html

[Nahaz]

You could try animating a UVW modifier with a 360 rotation.

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