# geometry

This article describes how you can describe the entire universe of Riemann tori (surfaces that look like dooughnuts) in one go.

A Riemann torus is a surface that looks like a doughnut. This articles explored how you might tell Riemann tori apart.

How many different surfaces are there? The question seems impossible to answer, but mathematicians have a way of dealing with the multitude. Follow us on a journey into the world of moduli spaces.

How many different surfaces are there? The question seems impossible to answer but mathematicians are good at dealing with multitudes. Follow us into the world of moduli spaces!

Meet a fascinating thought experiment close to the speed of light.
The concept of homotopy is a great example of how the language of maths can make intuition precise.
This beautiful version of geometry was developed to keep track of things that move! Here's a very brief introduction.
Weird and wonderful things can happen when you set a ball in motion on a billiard table — and the theory of mathematical billiards has recently seen a breakthrough.
A fly on the ceiling inspired the coordinate system you might remember from school.
From trigonometry to waves.
If a shape has equal sides with 90 degree angles between them then it's a square, right? Well, not quite...
How big is the bird?