We propose a wide-audience introduction to the notion of aperiodic order and its connections with numerous domain, as theoretical computer science, dynamical systems, combinatorics or discrete geometry, as well as motivations coming from condensed matter physics, namely quasicrystals. We shall in particular focus on aperiodic tilings characterized only by local constraints and bring a home-made aperiodic puzzle the audience can play with in order to better understand the concepts.