Stage: 5 Challenge Level: 
Possible extension
Try multiplying by $e^{{i\pi \over 3}} = {1\over 2} + i{\sqrt 3 \over 2}.$
Complex numbers. Symmetry. Coordinates. Rotations. Stage 5 needs dealing with. Vector geometry. Sine. Reflections. Interactivities. Argand diagram.
Published July 2003,August 2003.
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