Physics is all about observation, but how much can we actually see? We explore some of the limits of observation — be they natural, scientific, political, or down to the fuzzy quantum nature of reality.

From making penalties fairer or taking the perfect free kick, to designing an ideal ball and predicting results using an octopus, it's all there in our collection of football articles. Take your pick!

The cosmic microwave background (CMB) is light left over from the Big Bang. It has revealed a wealth of information about our Universe and turned cosmology into a precision science. How can a single picture tell us so much?

On the sad news of Stephen Hawking's passing we look at his professional life and work. The image shows Hawking enjoying zero gravity in 2007 and is courtesy NASA.

Some problems are so complex that, although we know how to solve them in theory, it would take billions of years to find a solution even on the fastest supercomputer. Come on a trip through the world of complexity and meet the famous P versus NP problem.

If you can prove that a statement can't possibly be false, does this mean it's true? Here's a gentle look at non-constructive proofs and the worries some people have about them.

Unlike physicists, mathematicians don't need to "see" something to be certain it exists. But are non-constructive proofs really valid? And what happens if you try and make do without them?

The way many football leagues schedule their fixtures can lead to unfair effects — and unsolved maths problems! Dries Goossens, who schedules the Belgian Pro League, explains.