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Gear Curve


GearCurve

The gear curve is a curve resembling a gear with n teeth given by the parametric equations

x=rcost
(1)
y=rsint,
(2)

where

 r=a+1/btanh[bsin(nt)],
(3)

where tanhx is the hyperbolic tangent. Plots above show gear curves for a=1, b=10, and n=1 to 12.


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Cite this as:

Weisstein, Eric W. "Gear Curve." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/GearCurve.html

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