This was a problem for our birthday website. Can you use four of these pieces to form a square? How about making a square with all five pieces?
See the effects of some combined transformations on a shape. Can you describe what the individual transformations do?
Draw all the possible distinct triangles on a 4 × 4 dotty grid. Convince me that you have all possible triangles.
Blue Flibbins are so jealous of their red partners that they will not leave them on their own with any other bue Flibbin. What is the quickest way of getting the five pairs of Flibbins safely to the new planet?
Show how this pentagonal tile can be used to tile the plane and describe the transformations which map this pentagon to its images in the tiling.
Does changing the order of transformations always/sometimes/never produce the same transformation?
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?
