# Equilateral Monomorphic Tilings

The only equilateral shape that is of interest here is the rhombus. It tiles the plane in two different ways which can be combined to make larger composite tilings.

With five sides or more, the shapes can be quite bizarre and it is difficult to see how they would tile satisfactorily. Of course, an equilateral pentagon with one angle opened out to make a boat shape will tile the plane but that is a cheat really.