Poinsot's spirals

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Template:Short description Template:One source In mathematics, Poinsot's spirals are two spirals represented by the polar equations

r=a csch(nθ)
r=a sech(nθ)

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

Examples of the two types of Poinsot's spirals

File:Poinsot2.svg
The Poinsot spiral r=csch(θ/3).
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File:Poinsot1.svg
The Poinsot spiral r=sech(θ/3).
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See also

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References

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