What would Christmas be without the unlimited eating? And as it turns out, maths helps it all to go down well. Find out how with Eat, drink and be merry and our interview with a fluid mechanics researcher.
'Tis the season for Christmas carols, so Door #6 opens on the magical mathematics of music...
- The magical maths of music
- Why is the violin so hard to play?
- Natural frequencies and music
- Finonacci, limericks and ragtime
- Music and Euclid's algorithm
- Sine language
- Fractal music
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...
- Open a can of worms sudoku
- Sudoku round the clock
- Mystery sum sudoku
- Greater than sudoku
- The Duplex difference sudoku
- Plus magazine sudoku
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.
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.
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.
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...
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!