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Many mathematicians find the pure and tight patterns of juggling as irresistible as those of mathematics. Burkard Polster explains how to get to grips with the bewildering range of juggling possibilities and invites you to do your own virtual juggling.

On May 22nd 2009 the English Premier league had one more match day ahead, with West Bromwich Albion at the bottom of the league and Manchester United at the top, sure to remain there. Taking up a challenge from a BBC radio programme, David Spiegelhalterand Yin-Lam Ng used their statistical finesse to predict the outcome of the last matches — and they were 90% correct. Find out how they did it.
 

Tilings have adorned buildings from ancient Rome to the Islamic world, from Victorian England to colonial Mexico. But while it sometimes seems free from worldly limitations, tiling is a very precise art, where not much can be left to chance. We can push and turn and wiggle, but if the maths is not right, it isn't going to tile. Josefina Alvarez and Cesar L. Garcia investigate.
In 1997 Andy Green was the first to break the sound barrier in his car Thrust SSC, which reached speeds of over 760mph. Now he and his team want to push things even further with a car called Bloodhound, designed to reach the dizzy heights of 1,000mph, about 1.3 times the speed of sound. Ben Evans explains how maths is used to build this car.
Tim Johnson was drawn into financial maths, not through an interest in finance, but because he was interested in making good decisions in the face of uncertainty. Tim explores the development of this interface between abstract mathematics and our everyday lives, and explains why a painting may only be worth its wall space.
Andy Green, Royal Air force pilot and Oxford maths graduate, is gearing up to break his own land speed record in Bloodhound SSC, a supersonic car designed to reach speeds of up to 1000mph. He tells Plus about the challenges — and the maths — behind this engineering adventure.
Fun with fuses
There has been a recent spate of books in honour of Martin Gardner, who has spent over half of his 95 years entertaining us with his recreational mathematics.
The housekeeper and the professor by Yoko Ogawa, translated by Stephen Snyder A novel translated from the Japanese, where nothing much happens and prime numbers play a central role, may not sound like the most relaxing summer read.
Imagine a biologist trying to deduce the life cycle of an unknown creature by observing it just long enough to witness four beats of its heart. Nowadays, we know the Sun follows an eleven-year cycle, so even lifelong professional astronomers are likely to witness no more than four of its pulsations. Solar astronomy is truly a multigenerational science and its beginnings are brilliantly summarised in Stuart Clark's story, built around the greatest magnetic storm ever recorded.
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