An article for students and teachers on symmetry and square dancing. What do the symmetries of the square have to do with a dos-e-dos or a swing? Find out more?
An introduction to groups using transformations, following on from the October 2006 Stage 3 problems.
Proofs that there are only seven frieze patterns involve complicated group theory. The symmetries of a cylinder provide an easier approach.
Learn how to use the Shuffles interactivity by running through these tutorial demonstrations.
Discover a handy way to describe reorderings and solve our anagram
in the process.
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?