Can mathematics be beautiful? Yes, when it’s not just about abstract juggling with numbers, but about recognizing patterns and regularities. Science describes mathematics as the "science of patterns" and accurately identifies the skills that are particularly important in mathematical practice. The area of mathematics that clearly deals with patterns and shapes is geometry. When we look behind the form of geometric objects, we engage with patterns that we can examine more closely. For example, they become visible in symmetries. Symmetry transformations that continue infinitely create patterns that follow a specific structure. These patterns lead us into the world of tiling. Mathematics or perhaps art? In answering this question, students provide a sec.