hyperbolic geometry

The work of Donald Coxeter, who died on 31 March 2003, will continue to inspire both mathematicians and artists.
The famous mathematician Euclid is credited with being the first person to axiomatise the geometry of the world we live in - that is, to describe the geometric rules which govern it. Based on these axioms, he proved theorems - some of the earliest uses of proof in the history of mathematics.