England may have bombed out, but the Euro 2016 Championships are still in full swing. Here are some articles by our favourite football expert, Ken Bray, exploring the maths of football from all angles. Maybe the England team, and all other footballers too, should brush up on their maths!
How to take the perfect penalty
"It's failure to prepare mentally and failure to take practicing penalties really seriously." This is Ken Bray's explanation for England's dismal performance in penalty shootouts. Bray, who also wrote the article above, talks some more about penalties in this video.
When is a goal not a goal?
Remember Frank Lampard's disallowed goal in the 2010 World Cup match against Germany? The ball hit the crossbar, landed well behind the line but then bounced out again. And it all happened too quickly for the ref to spot it was a goal. How these kind of (non)-goals happen and what can we do about them?
A fly walks around a football
What makes a perfect football? It must be round, retain its shape, be bouncy but not too lively and, most importantly, be capable of impressive speeds. We find out that this last point is all down to the ball's surface, the most prized research goal in ball design.