## News from the world of Maths

The funeral of the great flamenco guitarist Paco de Lucía this week reminded us of the mathematical and musical reasons we love flamenco.

We've read the book. We've bought the T-shirt. And now, finally, here it is: the movie of one of our favourite maths problems

Are there more irrational numbers than rational numbers, or more rational numbers than irrational numbers? Well, there are infinitely many of both, so the question doesn't make sense. It turns out, however, that the set of rational numbers is infinite in a very different way from the set of irrational numbers.

Cosmologists celebrated with champagne and cake today, in honour of Stephen Hawking's new Chair in Cosmology.

With spring (hopefully) on its way, it looks increasingly less likely that we will be blessed with the cold, white, fluffy stuff this year. But if the winter Olympics leave you yearning for snow and ice, here are some related maths stories for you.

What do you get when you add up all the natural numbers 1+2+3+4+ ... ? Not -1/12! We explore a strange result that has been making the rounds recently.