Poinsot S Spirals

In mathematics, Poinsot's spirals are two spirals represented by the polar equations

${\displaystyle r=a\mathrm{csch}(n\theta )}$

${\displaystyle r=a\mathrm{sech}(n\theta )}$

where csch is the hyperbolic cosecant, and sech is the hyperbolic secant.^[1] They are named after the French mathematician Louis Poinsot.

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