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.

This summer the Royal Institution is running a series of workshops as part of its Engineering Week where you will have a chance to try your hand at engineering and discover it is rocket science, underwater robotics, hip joint design, crash testing and much more!

The Velodrome, with its striking curved shape, was the first venue to be completed in the London Olympic Park. Plus talks to structural engineers Andrew Weir and Pete Winslow from Expedition Engineering, who were part of the design team for the Velodrome, about how mathematics helped create its iconic shape.

How would it feel to look in a mirror and see not your own reflection but instead how you would look as the opposite sex? You can explore this strange alternate reality at this year's Royal Society Summer Exhibition where scientists from Queen Mary, University of London and University College London will use mathematical wizardry to produce gender reversed images of faces.

Tanya Morton has been drawn to three things throughout her career: problem solving, learning new things and educating others. She tells Plus how her role at the mathematical computing software company, MathWorks, combines these three elements perfectly and how mathematical computing has meant her maths makes a real difference in the world.

Heather MacKinlay's work as an engineer has taken her from the civility of Surrey to the wild west of Australian mining towns and multibillion pound projects in the Algerian desert. And along the way she has also become a successful painter. Heather tells Plus that engineering and painting are just different ways of looking at the world, and how her work as a cost engineer is all about understanding the big picture.

Rising like a giant pringle from the Olympic Park construction site, the Velodrome is the first of the 2012 London Olympic venues to be completed. With its sweeping curved roof and beautiful cedar clad exterior the Velodrome is a stunning building. But what most of the athletes are excited about is the elegant wooden cycle track enclosed inside, the medals that will be won, and the records that might be broken, in the summer of 2012.

To coincide with the 100th International Women's Day two new competitions to find the best young female mathematical minds in the UK and Europe have been launched.