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.
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 cubesThis 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.