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 ...

IN a recent number of NATURE (June 30) there appeared a review of a book by G. Mannoury on the philosophy of mathematics, and the reviewer emphasised a statement of the author to the effect that the ...

This originally appeared in the July/August issue of Discover magazine as "Your Hyperbolic Mind." Support our science journalism by becoming a subscriber. The human brain is both a marvel and a ...

Abstract: Causal information is implicit in the spatial characteristics of non-Euclidean data, and recently some researchers have proposed the Non-Euclidean Causal Model (NECM) to describe causal ...

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 ...

As if it wasn't confusing enough travelling through the non-Euclidean of HyperRogue, it's now also available to play through in different VR modes. Need a primer on HyperRogue? It's a roguelike, a ...