Complex Powers of the Unit Circle
- Steve Phelps
This illustrates complex power functions acting on the unit circle. The domain circle is on the bottom, and the range circle is on the top. Each segment joins z on the domain circle to zn on the range circle. The wrapping nature of the power functions becomes apparent as n varies from 1 to 10.
"Complex Power Plot" from the Wolfram Demonstrations Project http://demonstrations.wolfram.com/ComplexPowerPlot/