Generating a Cardioid I: One Circle Rolling around Another

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Roll a circle without slipping around a stationary circle of the same radius as the first. Fix a red point on the moving circle; the path it traces is a cardioid.
Contributed by: Jaime Rangel-Mondragon (March 2011)
Open content licensed under CC BY-NC-SA
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"Generating a Cardioid I: One Circle Rolling around Another"
http://demonstrations.wolfram.com/GeneratingACardioidIOneCircleRollingAroundAnother/
Wolfram Demonstrations Project
Published: March 7 2011