Plus Blog

December 3, 2010

It's the weekend, the snow is gently falling outside, and inside the fire is blazing ... what better way to spend the time than puzzling over our special Plus sudokus? They're not what you're used to...

Or if you'd rather like to spend your time reading, find out about the history of sudoku, why sudoku puzzles help to take pictures of tiny things like cells, or muse on some sudoku questions that puzzle mathematicians.

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December 3, 2010
A Hubble image

Image courtesy NASA.

The best thing about Christmas are the presents! And if it hadn't been for that blazing star guiding the three magi to baby Jesus, laden with gold, frankincense and myrrh, then we might not have that present giving tradition at all.

So for Door #5 of the Plus Advent calendar we turn our gaze to the stars and muse on the biggest mysteries of the Universe. Find out what happened before the Big Bang, whether we will one day be able to travel through time, whether those mysterious constants of nature really are constant, how gravity works, and unravel the secrets of dark matter and dark energy.

You can also find out what the greatest star gazers of them all, the Hubble Space Telescope, has discovered, whether there's life on distant planets, why the Universe might just be an illusion, and why a single number holds the key to it all.

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December 2, 2010

The end of the year (as well as a Plus birthday today) put us in the mood to reflect on mathematical milestones.

In recent years maths has hit the front page with Andrew Wiles' proof of Fermat's last theorem and Grigori Perelman's proof of the Poincaré conjecture. Maths has also hit the jackpot with the Google page rank algorithm, changing the way the we find information and the way we do business. And Thomas Hales' computer-aided proof of Kepler's Conjecture might signal the way mathematics will be changing in the years to come.

Find out more about the biggest mathematical moments in the last 10, 100, 1000 and 10,000 years.

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December 2, 2010

When you saw us outside building snow-mathematicians and throwing snowballs we weren't just larking about, honestly! We were actually conducting in-depth research into symmetry and trajectories — and here our results are behind door number 2...

Symmetry rules
Everyone knows what symmetry is, and the ability to spot it seems to be hard-wired into our brains. Mario Livio explains how the symmetry we admire in a snow flake might also explain the workings of the Universe.

Through the looking-glass
When Alice stepped through the looking glass in Lewis Carroll's Through the Looking-Glass and What Alice Found There, she would have found that more than just the writing was back to front. The very molecules that made up her body would have been the wrong way around in the looking-glass world, and their interaction with the looking-glass molecules would have led to a very confusing — and possibly dangerous — adventure!

Beautiful symmetry provides glimpse into quantum world
A complex symmetric structure known as the exceptional Lie group E8, which has so far only existed in the minds of mathematicians, seems to have turned up in real life for the first time in 2010.

They never saw it coming
Borrow mathematical stealth from the military (and insects) to win in your next snowball fight!

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December 1, 2010

Oh the weather outside is frightful,
But the fire is so delightful,
And since we've no place to go,
Let It Snow! Let It Snow! Let It Snow!

How seasonal! The first day of our Plus Advent Calendar and the country is blanketed by snow! Admittedly the Plus team also has a broken boiler and children home due to school closure, but we do love the snow!

So to celebrate the frosty beginning of December, we have hidden all things icy behind Door #1. Wrap up warm, pack a thermos of hot tea and strap on your skis and enjoy!

A molecule's eye view of water
Water is essential for life on Earth, and it is a resource we all take for granted. Yet it has many surprising properties that have baffled scientists for centuries. Seemingly simple ideas such as how water freezes are not understood because of water's unique properties. Now scientists are utilising increased computer power and novel algorithms to accurately simulate the properties of water on the nanoscale, allowing complex structures of hundreds or thousands of molecules to be seen and understood.

Maths and climate change: the melting Arctic
The Arctic ice cap is melting fast and the consequences are grim. Mathematical modelling is key to predicting how much longer the ice will be around and assessing the impact of an ice free Arctic on the rest of the planet. Plus spoke to Peter Wadhams from the Polar Ocean Physics Group at the University of Cambridge to get a glimpse of the group's work.

Teacher package: On thin ice - maths and climate change in the Arctic
On the 1st of March 2009 three intrepid polar explorers, Pen Hadow, Ann Daniels and Martin Hartley, set out on foot on a gruelling trip across the Arctic ice cap to conduct the Catlin Arctic Survey. In this teacher package we look at some of the maths and science behind their expedition — climate and sea ice models, GPS and cartography, and how to present statistical evidence.

You can also read more about the expedition in the news stories On thin ice and Further evidence for Arctic meltdown.

Career interview: Avalanche researcher
Jim McElwaine tells Plus how he combines his two loves - mathematics and mountaineering - in avalanche research.

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November 30, 2010

What are continued fractions? How can they tell us what is the most irrational number? What are they good for and what unexpected properties do they possess? Where are they in the Universe and just what does chaos have to do with it?

John Barrow, Plus columnist and director of the Millennium Mathematics Project, is also the Gresham Professor of Geometry and he recently gave a lecture at Gresham College explaining how this particular way of writing numbers can reveal extraordinary patterns and symmetries. You can watch a video of his lecture and read his original Plus article Chaos in Numberland: the secret life of continued fractions.

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