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