It takes a fair few years of a university degree to begin to realise that symmetry is perhaps the most fundamental concept in modern physics. It's no accident that one of the leading candidates for new physics is called "Supersymmetry".
The state of the universe around us offers far more support to the hypothesis that the universe is not designed for humanity, than it does to the contrary. The universe looks exactly how we'd expect if it were not created.
A Calabi-Yau manifold is a kind of six-dimensional surface that has very special properties. These special properties mean that Calabi-Yaus play a central role in String Theory research.