# Complex Powers of the Unit Circle

- Author:
- Steve Phelps

- Topic:
- Circle, Unit Circle

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 z

^{n}on the range circle. The wrapping nature of the power functions becomes apparent as n varies from 1 to 10.## Credit:

"Complex Power Plot" from the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/ComplexPowerPlot/

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