In the first part of this article we let maths set the scene for a free kick. Now we continue the drama, tracing the trajectory of the ball throughout the milliseconds it takes it to reach the goal line.
Geometric hallucinations are very common: people get them after taking drugs, following sensory deprivation, or even after rubbing their eyes. What can they tell us about how our brain works?
If chemistry makes you think of white lab coats and green liquids then think again. This year's Nobel prize goes to three researchers who "took chemical experiment into cyberspace".
A team of Australian researchers has delivered dire news for polar ecosystems, predicting that in some regions biodiversity may be reduced by as much as a third within decades. It's the result of a tipping point induced by global warming.