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.

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

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

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

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

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?