## geometry

*any*tilings based on fiveness?

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

**Tom Körner**'s explanation really is a piece of cake, served up with a hefty estimate of pi.

**Caroline Series**and

**David Wright**give a short introduction to the maths behind their beautiful images.

**Abigail Kirk**explores one of the formulae that carry his name.

**Shahn Majid**met up with

*Plus*to explain.

Mathematicians offer new proof of quasicrystals' strange electronic properties.

We may not have found life out there, but there is a hexagon on Saturn.