This article concentrates on a project that aims to provide students of the Faculty of Architecture CTU with a fresh perspective on the world of geometry surrounding us. Origami tessellations are made from a single piece of paper, which is folded in a repeating pattern with flatly overlapped facets. Their construction combines elements of design with the use of geometry and mathematics. In addition, the topic strengthens knowledge of wallpaper symmetry groups and tessellations in general.