The mirror itself is a device that produces striking symmetrical images. If you take two small rectangular mirrors (without frame) and join them along a side with scotch tape, you can experiment with symmetry. For example,if the two mirrors are at 90 degree upside they give a non reversed image of yourself. If you rotate now the mirror also your image will rotate.
If you put this device on a picture you can produce a new one with 3,4,5,... copies of the original arranged in a polygon(the polygon you get depends on the angle between the two mirrors).
Now put another mirror in front of this device and the whole plane will be filled with a symmetrical tiling. In fact this is how the kaleidoscope and the mirror maze work.
