Simple Square Symmetries

This applet demonstrates simple symmetry (rotations and reflections) and how they combine. You can create and destroy your own symmetrical patterns.

Author and programmer: Ron Barrow

UK Years 7-11, KS3, KS4, Foundation GCSE Mathematics, Grades C - A* - Shape and Space
US - Grades 7 - 10 - Geometry


Instructions below    Waldomaths video   See also: Combining Symmetries    Hexagonal Symmetry

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How to Use this Applet

This applet is for playing around with ideas of symmetry.
You can click any one of the small squares inside the large square, and this will change its colour from white to green or green to white.
When you do this the large square may be symmetrical in some way. You will see the symmetries described on the right, and also marked on the diagram.

You can change the size of the big square from the drop-down menu at the top.
You can show or hide the descriptions or the markings by ticking or unticking the small boxes at the top.
You can try to set up more and more difficult patterns and investigate their symmetry, or you can try to set up particular symmetries.
Have a go - play around!