Epicycloid

In geometry, an epicycloid is a plane curve produced by tracing the path of a chosen point of a circle — called epicycle — which rolls around without slipping around a fixed circle. It is a particular kind of roulette.

Related Topics:
Geometry - Epicycloid - Curve - Circle - Roulette

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An epicycloid with n − 1 cusps is given by the parametric equations

Related Topics:
Cusp - Parametric equation

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: x( heta) = cos heta + {1 over n} cos n heta,

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: y( heta) = sin heta + {1 over n} sin n heta.

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The epicycloid is a special kind of epitrochoid.

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An epicycle with one cusp is a cardioid.

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An epicycloid and its evolute are similar.http://mathworld.wolfram.com/EpicycloidEvolute.html

Related Topics:
Evolute - Similar

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See also: cycloid, hypocycloid, deferent and epicycle.

Related Topics:
Cycloid - Hypocycloid - Deferent and epicycle

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