Articles

The trouble with fiveSquares do it, triangles do it, even hexagons do it — but pentagons don't. They just won't fit together to tile a flat surface. So are there any tilings based on fiveness? Craig Kaplan takes us through the five-fold tiling problem and uncovers some interesting designs in the process.
A tale of two curricula: Euler's algebra text bookIn the fourth and final part of our series celebrating 300 years since Leonhard Euler's birth, we let Euler speak for himself. Chris Sangwin takes us through excerpts of Euler's algebra text book and finds that modern teaching could have something to learn from Euler's methods.
Understanding uncertainty: A league table lottery

League tables are controversial and for good reason. Few things are simple enough to be measured by a single outcome like, for example, the number of exam passes or successful heart operations. But even if we do accept a single yardstick, we haven't yet reckoned with chance, which by itself can produce apparent patterns to delight any tabloid editor.
The tiger that isn't: numbers in the mediaNHS budgets, third world debt, predictions of global warming, inflation, Iraqi war dead, the decline of fish stocks or hedgehogs, the threat of cancer — there's hardly a subject people care about that comes without measurements, forecasts, rankings, statistics, targets, numbers of every variety. Do they illuminate or mislead? Introducing their new book, Michael Blastland and Andrew Dilnot take a look at numbers in the media and show that a little maths goes a long way in unravelling dodgy media claims.
Editorial

The Plus anniversary year — A word from the editors
Outer space: Blowin' in the wind
Outer space: Blowin' in the windGetting the most from the air
Frugal nature: Euler and the calculus of variationsPhil Wilson continues our series on the life and work of Leonhard Euler, who would have turned 300 this year. This article looks at the calculus of variations and a mysterious law of nature that has caused some scientists to reach out for god.
Editorial

Plus 1000 — Mathematical lives
Outer space: EmergenceHow does complexity arise from simplicity?
Plus leaves the classroomFormer Plus editor Helen Joyce explains how Plus made it big as a part of our series to celebrate Plus's tenth anniversary.
Arithmetic, bones and countingJohn Napier was a clever man indeed. Besides inventing the logarithm, he developed ingenious calculating devices that fully exploit the power of the positional system. In this article Chris Sangwin tells you how to make your own set of Napier's bones and perform mathemagic with an interactive checker board.