Articles

How many melodies are there?Given there's a finite number of notes on a scale, can we still find a brand new melody? Perhaps they've all been written already!
The limits of informationWhy there is a limit to how much better computer chips can get and what it's got to do with black holes.
Black holes: Paradox regainedIn 2004 Stephen Hawking famously conceded that black holes do not devour all information when they swallow matter — seemingly resolving the black hole information paradox that had perplexed physicists for decades. But some argue that the paradox remains open and we must abandon our simple picture of spacetime to unravel it.
Trisecting an angle with origamiHow to solve an ancient problem in a few folds.
Light weightDoes light have weight? Newton thought so. His laws predicted that gravity would bend light, two centuries before Einstein's revolution.
Stubborn equations and the study of symmetryAn impossible equation, two tragic heroes and the mathematical study of symmetry.
All's fair in love and mathsThe bitter battle for the cubic equation.
Meet the hyperbolaIt might not be as familiar as the circle or parabola, but it's definitely worth getting to know the hyperbola!
Five Martin Gardner eye-openers involving squares and cubes

This week would have been the 100th birthday of Martin Gardner, who is deservedly credited with turning on several generations of people worldwide to the pleasures of maths! To mark the occasion here are some favourite puzzles that, apart from being fun, also lead to some serious maths.

The multiverse: Science or speculation?If you like to have your mind blown cosmology is a great field to go into. But is it science?
In a lower dimensionCould the world be simpler than our senses suggest?
Who made the laws of nature?What gives an equation the right to call itself a law?