In the previous article we introduced Schrödinger's equation and its solution, the wave function, which contains all the information there is to know about a quantum system. Now it's time to see the equation in action, using a very simple physical system as an example. We'll also look at another weird phenomenon called quantum tunneling.

In the first article of this series we introduced Schrödinger's equation and in the second we saw it in action using a simple example. But how should we interpret its solution, the wave function? What does it tell us about the physical world?

In our article Mapping the medals we came up with our very own prediction of the 2012 Olympic medal counts for the top 20 countries! This interactive map tells you how our predictions stack up: click on a country to see its actual medal count, our prediction and the results from 2008.

Predicting the final Olympic medal count is a black art. Sport, with all its intricacies and vagaries, is always susceptible to variations in form, weather conditions and simple random events. But we like a challenge! So without further ado, here is our predicted 2012 London Olympic medal count.

Detail of M-theory multiple, Grenville Davey. Image © Isaac Newton Institute

On the face of it, an artist and a theoretical physicist might seem an unlikely pairing. But Turner Prize-winning sculptor Grenville Davey and string theorist David Berman's collaboration is producing beautiful, thought-provoking work inspired by the fundamental structure of the Universe. Julia Hawkins interviewed them to find out more about how the Higgs boson and T-duality are giving rise to art.

Progress in pure mathematics has its own tempo. Major questions may remain open for decades, even centuries, and once an answer has been found, it can take a collaborative effort of many mathematicians in the field to check that it is correct. The New Contexts for Stable Homotopy Theory programme, held at the Institute in 2002, is a prime example of how its research programmes can benefit researchers and its lead to landmark results.