The symmetry of things

Symmetry is a fundamental aspect of pattern – the difference between order and chaos. For millennia it appeared to be straightforward but in the nineteenth century a new theoretical perspective called “group theory” emerged, bringing ancient procedures in visual art and design into the very heart of mathematics, science and many other fields.

This course is an introduction to group theory, which studies the abstract structure of symmetrical objects. We focus on its conceptual framework, covering the key ideas and discoveries that give a flavour of the subject. This is maths, but of a very different kind from what most people experience at school: there will be no calculations and no prior knowledge or experience is assumed. Optional additional material will be provided for those who want to go further, turning this course into a gateway into higher mathematics.

Our study of groups in the abstract is motivated and enriched by a consideration of symmetry in the arts and sciences, where group theory can provide deep insights, from graphic and textile design to molecular chemistry.