Can you swap the black knights with the white knights in the minimum number of moves?

This article looks at knight's moves on a chess board and introduces you to the idea of vectors and vector addition.

Patterns that repeat in a line are strangely interesting. How many types are there and how do you tell one type from another?

I took the graph y=4x+7 and performed four transformations. Can you find the order in which I could have carried out the transformations?

The first part of an investigation into how to represent numbers using geometric transformations that ultimately leads us to discover numbers not on the number line.

A gallery of beautiful photos of cast ironwork friezes in Australia with a mathematical discussion of the classification of frieze patterns.

Points off a rolling wheel make traces. What makes those traces have symmetry?