Complex Power Spirals

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Given a complex number close to the unit circle (drawn as dashed red), this Demonstration plots the first 200 powers of
. You can join the points by straight or curved segments.
Contributed by: Germán Alvarado Jiménez (October 2013)
(University Santo Tomás Bogotá-Colombia)
Open content licensed under CC BY-NC-SA
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"Complex Power Spirals"
http://demonstrations.wolfram.com/ComplexPowerSpirals/
Wolfram Demonstrations Project
Published: October 25 2013