IT is now well known by all mathematicians that Euclid's theory of parallels is not indispensable for the construction of a self-consistent geometry, but that, on the contrary, there are three ...

THE fourth dimension and non-Euclidean geometry have achieved a prominence quite unprecedented for mathematical topics. In train, bus and tram, over lunch and at the theatre, intelligent man is ...

Virtual reality can take you to some far-out places — mountaintops, distant cities and even fantastical game worlds. A team of artists and mathematicians is now adding to that list: universes where ...