Axioms in Mathematics

The dodachedrum was the last platonic solid to be identified. The world of pure mathematics has infinite complexity, and we can only know finite amount of this complexity. But beneath who we at placedt but bete should be replaced by algarisms, by computation. How do you view axioms in the platonic sense? If mathematics, in some sense, just exists, and there is this platonic ideal thing that is mathematics, how ther ar axioms come into this?