Hyperbolic space is a Pringle-like alternative to flat, Euclidean geometry where the normal rules don’t apply: angles of a triangle add up to less than 180 degrees and Euclid’s parallel postulate, ...

Euclidean geometry is the kind you were taught at school, the world of sines and cosines, and the square on the hypotenuse ...

Researchers uncover the mathematical structure behind mesmerizing tiling patterns, linking their visual appeal to the ...

Reducing redundant information to find simplifying patterns in data sets and complex networks is a scientific challenge in many knowledge fields. Moreover, detecting the dimensionality of the data is ...

Even the most brilliant innovators get their inspiration from somewhere. For the Dutch graphic artist M.C. Escher, such a creative impetus came from a particular illustration in a 1957 mathematical ...

In our mind’s eye, the universe seems to go on forever. But using geometry we can explore a variety of three-dimensional shapes that offer alternatives to “ordinary” infinite space. When you gaze out ...

We often regard mathematics with a cold reverence. The discipline is driven by rules and principles that are eternal and stoic. There will never be a finite number of primes, for instance, and 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 ...

Our gallery gets to grips with hyperbolic space through mathematical artist Vi Hart’s visualisations in balloons, beads, clothes and more. See more in our gallery here. Receive a weekly dose of ...