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

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

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

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

Examples of the two types of Poinsot's spirals

See also

• Cotes's spiral – Plane curve

References

1. Lawrence, J. Dennis (1972). A Catalog of Special Plane Curves. New York: Dover. pp. 192–194. ISBN 0486602885.

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Helices	Angle Antenna Boerdijk–Coxeter Hemi Symmetry Triple Biochemistry 310 Alpha Beta Double Pi Polyproline Super Triple Collagen
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