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We have arrived in Berlin for a week of the best maths in Europe.

How many possible genetic relationships are there between a collection of different species? The answer is mind-bogglingly large.

A new study shows they can! At least better than was previously thought.

Keith Mansfield tells us how being able to do maths turns you into a superhero, helps you work out why we haven't yet been contacted by aliens, and remembers his favourite mathematical moment.