The caustics animation can be used as a bump or displacement map for waves. Your image example... do you want your tiled result to be in perspective like that? Or flat? Perspective will not tile easily, because of lighting differences from left to right.
That is another example of animated texture, how can be done those animations to render out in a set of images to be played? perhaps 24 or 32 in a looped seamless animation? to put in a plane and then import in other games like skyrim or else as it works there with animated textures mostly.…
Here's a quick example of using 3ds Max to make a tiled & looped animated texture. It requires the "Warp Texture" plugin by John Burnett. https://www.maxplugins.de/max2018.php?search=warp+texture&sort=Author(change the version to match your 3ds Max) In the Slate Material Editor, right click on the preview for the Warp…
If you want free, but more work (and potentially lower quality) here's a couple old methods http://ericchadwick.com/examples/tutorials/looping_a_procedural_texture.html http://ericchadwick.com/examples/tutorials/tiling_an_animated_texture.html