Rotations

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?

Does changing the order of transformations always/sometimes/never produce the same transformation?

See the effects of some combined transformations on a shape. Can you describe what the individual transformations do?

Use the clues about the symmetrical properties of these letters to place them on the grid.

I noticed this about streamers that have rotation symmetry : if there was one centre of rotation there always seems to be a second centre that also worked. Can you find a design that has only one centre of rotation ? Or if you thought that was impossible, could you say why ?

A design is repeated endlessly along a line - rather like a stream of paper coming off a roll. Make a strip that matches itself after rotation, or after reflection

Make a footprint pattern using only reflections.

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

Squares of the type shown are sewn together to make a quilt. How many different quilts can be made?