Enjoy the seventh group of essays from the 2024 TRM Essay Competition, now proudly held in partnership with the Oxford University Department for Continuing Education. The showcase will take place throughout June and July with the winners being announced in August.

If you enjoy reading any of the essays, be sure to leave a comment to let the author know!

This essay investigates the number of COVID cases in the UK during the recent pandemic to determine how well it fits with current disease models.

This essay outlines how to solve the geometrical problem of accurately constructing the arc of a circle.

This essay explores the many properties, and inherent beauty, of Euler’s number.

This essay gives a full breakdown of each term in the infamous Euler equation featuring 0, 1, pi, e and i.

This essay looks at how the tools of fractal geometry can be applied to city landscapes to help to understand their growth.

This essay provides a deep dive into the mathematical definition of chaos.

This essay explores the history of human knowledge of our planet and how ancient astronomers were able to determine its spherical shape.

This essay tells the story of the authors adventures with numbers, and how it led to a fascination with the subject of mathematics.

This essay provides an overview of the most important theorems related to prime numbers, and how they are used in the modern world.

This essay investigates the transition from regularity to chaos and the interesting structures that can appear at the ‘edge of chaos’.

This essay proves several key theorems related to the mathematics of origami.

This essay looks at how we can predict, control and apply chaos theory to real world applications.

This essay introduces the concept of ‘L-systems’ and how they can be used to generate mathematical art.

This essay breaks down Godels Incompleteness Theorems and outlines how he was able to prove them using Godel numbers.

This essay tells the story of the visit of an alien civilisation to Earth, and the mathematics they discover on the way.