I have often used moiré effects in the designs of my kinetic sculptures. You will notice them especially in my sculptures with stronger optical designs like Shimmer , Radiance or Illusion. A moiré effect is a “secondary and visually evident superimposed pattern created when two patterns overlap” but they aren't limited to forms in motion. Andrea Minini is a graphic designer based in Milan that uses this effect in a very different application. She creates vibrant posters of abstract animals using the moiré effect. Here are some dramatic examples.
And one example that is not an animal, just an abstract design: