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Arithmetic billiards

Need to find the least common multiple or greatest common divisor of two numbers? A billiard table of the right proportions holds the answers!
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The maths of randomness

Randomness is surprisingly hard to define. Fortunately the mathematical language we use to describe it is beautifully well defined.
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Symmetry

The maths of randomness: symmetry

Symmetry is one of the two guiding principles in understanding probabilities – if different outcomes are equivalent they should have the same probability.
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A very useful pandemic

Cambridge researchers, the BBC, and thousands of citizen scientists have created a revolutionary infectious disease data set.