I run Parkrun (some weeks), and am trying to run the alphabet. While running one week I realised that every parkrun course is the same. They are all basically one of a few mathematical objects, the integers or some pair, tuple or quadruple of integers. We will ask and see why?

In this talk I will explore the broad and interesting idea of Topology and present them to a general audience through comedy and one of my other main passions, parkrun. I will use homotopy and related ideas to show how everyday objects and familiar activities are the same to mathematicians and explain why, think coffee cup and donut.