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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?
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The company 23andMe made headlines by launching its DNA testing service in the UK. But how are the risks of developing a disease calculated?
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So you think you can add up?

Why do we add fractions the way we do? A very close look at addition reveals the answer — and it also works for negative numbers.