The patterns with symmetry group P6 are characterized by a 6 fold rotational symmetry and lack of reflective symmetries. The patterns in this applet are created by transforming equilateral triangles so that two of its edges are transformed in the same way, and the third edge is transformed to maintain a \(180^\circ \) rotational symmetry.

Drag the green handles to adjust the size and position of the underlying triangular shape. Drag the blue handles to transform the triangle.

This applet was created using JavaScript and the Raphael library. If you are unable to see the applet, make sure you have JavaScript enabled in your browser. This applet may not be supported by older browsers.