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Mathematical mysteries: What colour is my hat?

This is a game played between a team of 3 people (Ann, Bob and Chris, say), and a TV game show host. The team enters the room, and the host places a hat on each of their heads. Each hat is either red or blue at random (the host tosses a coin for each team-member to decide which colour of hat to give them). The players can see each others' hats, but no-one can see their own hat.
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Mathematical mysteries: Zeno's Paradoxes

The paradoxes of the philosopher Zeno, born approximately 490 BC in southern Italy, have puzzled mathematicians, scientists and philosophers for millennia. Although none of his work survives today, over 40 paradoxes are attributed to him which appeared in a book he wrote as a defense of the philosophies of his teacher Parmenides.
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Stellar heartbeats

Astronomers have for the first time listened to the heartbeat of a star other than our own Sun.
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Population ex-explosion?

Along with nuclear proliferation and the deteriorating condition of the natural environment, human population growth has become an issue of significant public concern during the past century. With the global population increasing at an ever-accelerating rate, how can the world continue to support its freight of humanity?
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The buzz on bumblebees

The common bumblebee is a familiar visitor to European gardens. At first sight there's nothing particularly remarkable about this small furry interloper, but it has been a source of mathematical controversy for nearly a century.
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Bank notes and a cheque

Rogue trading?

The dangers of trading derivatives have been well-known ever since they were catapulted into the public eye by the spectacular losses of Nick Leeson and Barings Bank. John Dickson explains what derivatives are, and how they can be both risky, and used to reduce risk.

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PLUS WINS a Webby!

At the Webby Awards - the Oscars for the internet - held last week, Plus magazine was officially named as the best science site on the web.
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In perfect harmony

The harmonic series is far less widely known than the arithmetic and geometric series. However, it is linked to a good deal of fascinating mathematics, some challenging Olympiad problems, several surprising applications, and even a famous unsolved problem. John Webb applies some divergent thinking, taking in the weather, traffic flow and card shuffling along the way.
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Worldly wobbles

More than a century ago, an American astronomer named Seth Carlo Chandler discovered that, as the earth spun on its axis, it also wobbled. This wobble, now known as the Chandler wobble in honour of its discoverer, didn't disappear over time, as would have been expected if no further force reactivated it. The source of the continuing activating force has remained a mystery ever since - until now.
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Double bubble is no trouble

Four mathematicians have finally confirmed that the familiar double soap bubble is indeed the best way to enclose two separate volumes of air.