Why not challenge a friend to play this transformation game?
Does changing the order of transformations always/sometimes/never produce the same transformation?
Explore the effect of reflecting in two intersecting mirror lines.
How many different transformations can you find made up from combinations of R, S and their inverses? Can you be sure that you have found them all?
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?
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?
Charlie likes tablecloths that use as many colours as possible, but insists that his tablecloths have some symmetry. Can you work out how many colours he needs for different tablecloth designs?
Investigate the transformations of the plane given by the 2 by 2 matrices with entries taking all combinations of values 0, -1 and +1.
