The Cochleoid
Introduction:
The cochleoid has an extremely simple parameterization, but complicated expressions for velocity, arclength, and curvature. The plot above is for the case n = 1 in the parameterization below, while the smaller plot below is the case n = 2.
Definition:
Properties:
Velocity and Acceleration:
a[t] = [click for formula]
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The Tangent Vector:
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Arc Length:s[t] = [click for formula] |
Curvature:kappa[t] = [click for formula]
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