## penrose tiling

*any*tilings based on fiveness?

**Craig Kaplan**takes us through the five-fold tiling problem and uncovers some interesting designs in the process.

Mathematicians offer new proof of quasicrystals' strange electronic properties.

*Plus*talks to

**Sir Roger Penrose**about all this and more.

**Alison Boyle**investigates aperiodic tilings, which have had unexpected applications in describing new crystal structures.