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# Clélies

An atriphtaloid with a = 3 and b = 2 (*)

In mathematics, a Clélies is a curve parameterized by

x = a * sin(mθ)cos(θ)

y = a * sin(mθ)sin(θ)

z = a * cos(mθ)

A curve of this type is confined to the surface of a sphere of radius a, which is obvious from the parametric equations for the surface of a sphere.

Undergraduate Texts in Mathematics

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