Trying to solve a Rubik's cube? A Cayley graph gives you a road map for doing this — and is similarly useful for dealing with any other type of mathematical group!

As artificial intelligence becomes increasingly important in our society, can philosophy offer us a way to explain decisions made by AI systems?

Learn how lengths, areas, and volumes generalise to the concept of measure, and how this relates to integration and probability.

Find out what it means for a shape to have fractional dimension.

What exactly do we mean when we say group theory is the study of symmetry? Group actions make precise what it means for a group to act by symmetries on an object.