The travelling salesman is one of our favourite mathematical movies. It's a tense thriller revolving around one of the most difficult open problems in maths, the P vs NP problem, and its potential to deliver the key to the world's most secret messages. Most of the movie is set in a single room, a secret government location, where four mathematicians are being debriefed as their highly classified project has been completed. An unexpected by-product of their work is a method for cracking the codes used to encrypt classified messages, giving rise to an intense debate between the mathematicians. Will their work be used for evil, by governments (or worse) to spy on all our communications and data? Would keeping it secret hamper medical advances and scientific discoveries that could be a force for good?
The result is an intelligent movie full of suspense that takes maths, as well as mathematicians, seriously. Visit the movie's website for download or instant streaming.
How are you feeling about Christmas lunch with the relatives? Worried you'll regress to your teenage years and all start pushing each other's buttons? The answer to this, as to all other questions, comes from maths: it pays to be nice!
We were lucky enough to travel to Cambridge, MA, to meet Nowak and his colleagues and find out more about his research. You can read our interview with him and other stories about the maths of altruism in our package and ebook.
We have a Mega Menger! Thanks to the tireless effort of students, the Centre for Mathematical Sciences in Cambridge (home of Plus) now has a piece of the largest distributed fractal model in the world. It's a model of a Menger sponge made out of over 48,000 business cards that are held together without any glue or sticky tape. Sets of six cards were folded up to form little cubes, a total of 8,000 of them, which together form an approximation of the sponge. The final result, which now adorns our common room, weighs over 90kg and is 1.5 metres tall.
The sponge model build was started off at an public event back in October, using thousands of little cubes that had been pre-built by students from twenty Cambridgeshire schools, coordinated by the Further Mathematics Support Programme. Enthusiastic members of the public and university students then finished it off, at one point working by the light of a single bulb when the building had shut down for the night.
The effort is part of the
MegaMenger project, which aims to build fractal models in multiple sites worldwide. If you would like to see our Mega Menger model, come to the Maths Faculty event at the 2015 Cambridge Science Festival, Saturday 21 March 2015, 12 noon — 4pm. You can find out more about fractals and the Menger sponge here.
Students building the sponge by the light of a single bulb.
"Imagine the scene of a violent murder where the victim has been bludgeoned to death."
This isn't the kind of sentence we were expecting to deal with when we agreed to help edit a book to celebrate the fiftieth anniversary of the Institute of Mathematics and its Applications (IMA). But we did. The book contains fifty articles about maths in all its shapes and guises — the gruelling sentence comes from one that explores how analysing the shape of blood stains can tell you how someone was killed.
It's not all that violent though: there are articles about champagne, Sherlock Holmes, space travel, gambling, sports, and much more besides, written by some of the best authors in maths and science. The foreword is by Dara Ó Briain and if you get tired of reading, you can look at the selection of fifty beautiful mathematical images that adorn the book. We have featured some of them as our images of the week.
Happy birthday IMA!
This image by Tim Jones, showing the ceiling of the Sagrada Familia basilica in Barcelona, is one of the images featured in the book.
On this 13th day of our Christmas Advent we thought you might like to think about your true love, and for that you need your maths.
You might find it surprising but mathematics provides some of the most profound metaphors for love and human relationships. From converging infinite sequences describing the attraction and force of love in A disappearing number to Elizabeth Barrett Browning's "How do I love thee, let me count the ways…", the rich language in mathematics provides just an accurate and evocative description of human emotions as it rigorously defines mathematical concepts.
The number 12 is very flexible. You can write it as 2 x 6 or as 3 x 4. Or, even better, as 2 x 2 x 3. Which brings us to those very special numbers called the primes: those numbers that are not divisible by any other number apart from 1 and themselves. Every number can be decomposed into a product of primes, for example 12 = 2 x 2 x 3. The primes are the atoms of number theory, they are also connected to one of the hardest open problems in maths, and even to the weird world of quantum physics.