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.
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.
This teacher package brings together all Plus articles on graph and network theory. Graphs and networks turn up in many real-life problems, from neuroscience to telecommunications. In the UK curriculum, they make a frequent appearance in the area known as decision maths. Our articles explore a wide range of related topics, from simple algorithms to complex network topologies.
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