Dividing the indivisibleDisputes over property are all too common. It's quite easy to share a cake, but how do you share out indivisible goods, such as houses or cars, without causing resentment? Here are two easy methods.
Patterns and structuresPatterns and structures lie at the heart of mathematics, some even say they are mathematics. But how do they help us do mathematics?
From dancing alone, to dancing togetherMany materials around us are oxides – such as rocks, window glass and some of the materials used in your computer. These materials may seem hard and rigid, but mathematics reveals a hidden flexibility that can explain many of their properties.
Playing billiards on doughnutsThe paths of billiard balls on a table can be long and complicated. To understand them mathematicians use a beautiful trick, turning tables into surfaces.
Made of maths?Mathematics is incredibly good at describing the world we live
in. So much so that some people have argued that maths is not just a
tool for describing the world, but that the world is
itself a mathematical structure. Does his claim stand up to scrutiny?
Breaking symmetryPhysicists love symmetry, but they get even more excited about symmetry breaking. They even believe that many of the features of the world we live in are a result of it. What do they mean by that?
Circles rolling on circlesImagine a circle with radius 1 cm rolling completely along the circumference of a circle with radius 4 cm. How many rotations did the smaller circle make? Be prepared for a surprise!
Life after the Higgs bosonWe might have found the Higgs boson, but the search for new physics at the LHC isn't over yet.
Chaos on the billiard tableIf you thought that billiards was a harmless game to play in the pub, think again. It's a breeding ground for chaos!
Pointless: The maths of TV gameshowsOne thing that makes TV game shows fun to watch is that there's usually an element of luck involved. But how (un)lucky is (un)lucky? We look at the probabilities of two popular examples.
Why did nature choose quantum theory?To create energy from information you would need to break the second law of thermodynamics — that's impossible in the real world, but could theories that do break it shed light on why nature is the way it is?
