topology

Discover (and listen to) the Möbius strip that's hidden within one of Bach's famous canons.

This year's Nobel Prize for Physics brings together the physics of materials with one of our favourite areas of maths – topology. In this final article in a series, we asked Fiona Burnell to explain the maths behind the work, and how it may help lead to quicker and smaller electronics, and even the elusive quantum computer.

This year's Nobel Prize for Physics brings together the physics of materials with one of our favourite areas of maths – topology. This is the second in a series of articles where we asked Fiona Burnell to explain the maths behind the work, and how it may help lead to quicker and smaller electronics, and even the elusive quantum computer.

This year's Nobel Prize for Physics brings together the physics of materials with one of our favourite areas of maths – topology.

Find out how some black holes are bigger on the inside than they are on the outside.

How "forced experimentation" can lead to economic benefits.

A Klein bottle can't hold any liquid because it doesn't have an inside. How do you construct this strange thing and why would you want to?

Why doing maths is like being Lewis Carroll's Red Queen and how to keep going beyond the formidable age of 84.

Maryam Mirzakhani is being honoured for her "rare combination of superb technical ability, bold ambition, far-reaching vision, and deep curiosity".