On the morning of Wednesday 19th June, a group of pupils and teachers gathered at King’s Cross station for a trip to visit Trinity College in Cambridge. Mr Morris and Mr Cullen-Hewitt filled the taxi ride with commentaries on several of the more famous landmarks on our route, and provided some insight into their own experiences during their time in Cambridge. When we arrived at the Centre for Mathematical Sciences, we were greeted by an Old Pauline, Imre Leader, who, since graduation, has done lots of research in Combinatorics and become a professor of Pure Mathematics at Trinity College Cambridge. After leading us through to the centre of the CMS, our first of two Mathematics sessions began. The lecturer began by posing a question on Euclidean Geometry, and, when only one of us was able to solve it, the idea of the Miquel point was introduced and its subsequent generalisation regarding a triangle and a cyclic quadrilateral. We then proved some facts about the Miquel point, which g...