Make a footprint pattern using only reflections.
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?
Arrow arithmetic, but with a twist.
Points off a rolling wheel make traces. What makes those traces have symmetry?
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.
How can you use twizzles to multiply and divide?
Overlaying pentominoes can produce some effective patterns. Why not use LOGO to try out some of the ideas suggested here?
Introduces the idea of a twizzle to represent number and asks how one can use this representation to add and subtract geometrically.
Plex lets you specify a mapping between points and their images. Then you can draw and see the transformed image.
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?
Explore the two quadratic functions and find out how their graphs are related.
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.