What does the design of tiles have to do with mathematics as such? Parts of plants often have fractal forms -- this doesn't mean that your house plant is the next coming of Einstein. I'm perfectly willing to give credit when it's due, and the Arabs did have their famous mathematicians, but during the last few decades there has been more and more of this kind desparate grasping at straws by politically correct historians.
Plants are not made by human creatures; tile designs are.
Scientific discoveries, then, are not observing and putting to use the order that exists in the natural world, but inventing something that has not previously existed?