Looking out to Canary Wharf, to the arch at Wembley Stadium, and down onto the Gherkin, the 700 people working on the construction site of the Heron Tower in London had one of the best views in London. Plus was lucky enough to speak to two engineers involved in building the tower and asked how maths was involved in the construction of such an impressive addition to the London skyline.

Convex or concave? It's a question we usually answer just by looking at something. It's convex if it bulges outwards, and concave if it bulges inwards. But when it comes to mathematical functions, things aren't that simple. A team of computer scientists from the Massachusetts Institute of Technology have recently shown that deciding whether a mathematical function is convex can be very hard indeed.

Is it rational to believe in a god? The most famous rational argument in favour of belief was made by Blaise Pascal, but what happens if we apply modern game theory to the question?

Usain Bolt, the "fastest man on the planet", aims to get his 100 metre world record of 9.58 seconds down to 9.40 seconds. What has mathematics got to say about this quest?

Plus has teamed up with the Royal Society Summer Science Exhibition 2011 to reveal the maths behind some of the science on show. We have chosen two exhibits from this year's participants and produced postcards for people to pick up at the stand, accopmanied by Plus articles to reveal some of the the maths behind them. Read the articles and if you can't make it to the exhibition yourself, you can also download pdfs of the postcards.

How does a computer understand the colours to be displayed on the monitor's screen? It's all about red, green and blue and numbers written in a special way.

We all take for granted that mathematics can be used to describe the world, but when you think about it this fact is rather stunning. This article explores what the applicability of maths says about the various branches of mathematical philosophy.

As the Wimbledon 2011 Championships hove into view, memories will be reawakened of the match of epic proportions that took place last year between the American John Isner and the Frenchman Nicolas Mahut. So just how freaky was their titanic fifth set and what odds might a bookmaker offer for a repeat?

It's not the winning, it's the taking part that counts. At least, that's what the Olympic creed would have us believe. But, like it or not, what the media and governments focus on is the tally of gold medals. This article explores some of the maths of gold.

Dengue fever does the opposite of what you might expect. Unlike for many diseases, if you've had this tropical virus and recovered, you might be worse off, as a second exposure to the dengue virus can be life threatening. So keeping track of the strains of the diseases is an important problem which can be solved with the help of a little randomness.

We know that applying a force to a bone during its development can influence its growth and shape. But can we use our understanding of how developing bone reacts to mechanical forces to help people suffering from diseases that lead to bone deformities?