I seen this method mostly done with anime characters in 3D.
How would I rig a character to control a texture of eyes on a surface instead of moving an eyeball?
I can see practical uses for this like controlling flat eye brows for one.
If there is already a tutorial on this, that would be great.

Example of texture manipulation:

You can make what you want and then control using the Avatar Toolkit Builder and Controller.  http://manual.reallusion.com/AvatarToolkit/ENU/Avatar_Toolkit_2/02_Getting_Started/Using_Builder_and_Controller.htm

Sample of Flat eyes doing what you describe shown here:




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" If I had Alzheimer's (Old Timers), would I know it? "

How would I rig a character to control a texture of eyes on a surface instead of moving an eyeball?
Can anyone show me how to do this? a URL, a YouTube video an online tutorial?

What are you planning on moving the eyes with?    

What I showed you above is just that;  a Flat surface moving over a flat surface.  That's everything including the Eyelids.  You just need the parts

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" If I had Alzheimer's (Old Timers), would I know it? "

You could certainly key frame it. There is no way to use a rig for the UV animation though. You would have to change the values in the modify panel.

Your creating your own avatars from scratch, right? You could set up the facial morphs with flat eyes that shift position. This is getting back to using actual mesh, though. Not really what your looking for, but then it would be rigged. It also would not rely on the Avatar creator thingy.

Here's a Video (still processing as of this posting) of what you "seem" to be describing... but doing this will work you to death when animating. It would all have to be keyed as shown here.  If doing a fifteen minute movie, this may take a week to finish just the eyes doing changes.

https://youtu.be/OXWGbmLNZ4A




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" If I had Alzheimer's (Old Timers), would I know it? "

I imagined setting up a blend shape that caused a texture offset that I could change values once in 3DX using the Expression Editor, not animating offset directly in iClone.