Figure 4
3D-printed hexagonal unit cells containing Escher lizards. (a) By translating the unit cells on the plane it is possible to tile it without leaving empty gaps. (b) Within a unit cell there are exactly three lizards. (c) By rotating and translating the asymmetric unit tiles it is also possible to tile the plane and to form the unit cell. Within a unit cell there is a full asymmetric unit and four halves of it. The unit-cell limits and its symmetry are indicated (left); the asymmetric unit contains exactly the parts to form a single lizard (right). |