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Information is bits

Computers represent information using bits — that's 0s and 1s. It turns out that Claude Shannon's entropy, a measure of information invented long before computers became mainstream, measures the minimal number of bits you need to encode a piece of information.
Article

Introducing the Klein bottle

A Klein bottle can't hold any liquid because it doesn't have an inside. How do you construct this strange thing and why would you want to?
News story

23 and maths

The company 23andMe made headlines by launching its DNA testing service in the UK. But how are the risks of developing a disease calculated?
Article

The limits of information

Why there is a limit to how much better computer chips can get and what it's got to do with black holes.