Simple Hexagonal Symmetries

Symmetry 3 - This applet demonstrates simple symmetry (rotations and reflections) on a hexagon shape, and how they combine. You can create 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    Square Symmetry

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How to Use this Applet

If you click any one of the small triangles inside the large hexagon, this will create a large dot in that triangle. You can remove that dot by clicking again in the triangle.
In doing this you might create some symmetries (reflections and rotations), and if so you will see the symmetries described on the right, and also marked on the diagram.

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 symmetries. This should help you gain insight into symmetry.
Have a go - play around!