Clélies

Clélies: Some examples of the curve‎

In mathematics, a Clélies is a curve parameterized by

$x = a sin(m θ)cos(θ)$

$y = a sin(m θ)sin(θ)$

$z = a cos(m θ)$

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.

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