The Basilica of the National Shrine of the Immaculate Conception is a little off the beaten path of sightseeing tours in the Washington DC area. Despite this, it is well worth your visit. The shrine is an amazing place to witness the power of symmetry! Everywhere you look, you see symmetry at work.

Imagine you are installing a security system within the Louvre Museum in Paris to protect Leonardo da Vinci's famous Mona Lisa. The painting is located within the Salle des Etats room of the museum. In particular you would like to know the minimum number of security cameras which need to be installed to ensure the entire room is fully covered from all angles. Mathematics can help us solve the problem and computational geometry will be our guide.

I was recently on holiday in New York sightseeing and I came across a mathematical structure that I was interested by. What interested me the most about it was the catenary between the two towers and the spiders web effect of the cabling.

The Alnwick Garden Puzzle Trail won the Guiness World Record for the largest maths class outside the classroom in 2009. Created by Steve Humble (aka Dr Maths), teachers from Northumberland schools, Nepic and staff at Alnwick Gardens.