Clélie - Alchetron, The Free Social Encyclopedia

In mathematics, a Clélie or Clelia curve 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 , as is obvious from the parametric equations for the surface of a sphere. When m = 1 , this is Viviani's curve.

The curve was named by Luigi Guido Grandi after Clelia Borromeo.

References

Clélie Wikipedia

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