Topology

This article for pupils describes the famous Konigsberg Bridge problem.

Lyndon Baker describes how the Mobius strip and Euler's law can introduce pupils to the idea of topology.

This article looks at the importance in mathematics of representing places and spaces mathematics. Many famous mathematicians have spent time working on problems that involve moving and mapping things.

This is the second of two articles and discusses problems relating to the curvature of space, shortest distances on surfaces, triangulations of surfaces and representation by graphs.

Read about the problem that tickled Euler's curiosity and led to a new branch of mathematics!

The tangles created by the twists and turns of the Conway rope trick are surprisingly symmetrical. Here's why!

Professor Korner has generously supported school mathematics for more than 30 years and has been a good friend to NRICH since it started.

Here is a proof of Euler's formula in the plane and on a sphere together with projects to explore cases of the formula for a polygon with holes, for the torus and other solids with holes and the relationship between Euler's formula and angle deficiency of polyhedra.