you assign a movie as a texture to have an animating texture
you could animate the UVs, not sure if you can or if that's a good thing to do
alternatively you could make yourself a plane, attach it to a motion path and then use the motion path > flow path object
i found this way of doing stuff when i was looking for ways to animate ribbons
it might be what you're looking for
that's a "Ch" pronounced as a "K"
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