Poinsot's spirals
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Poinsot's spiral
(pwän′sōz ¦spī·rəl)
(mathematics) Either of two plane curves whose equations in polar coordinates (r,θ) are r cosh nθ = a and r sinh nθ = a, where a is a constant and n is an integer.
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Poinsot's spirals
In mathematics, Poinsot's spirals are two spirals represented by the polar equations
where csch is the hyperbolic cosecant, and sech is the hyperbolic secant.
The Poinsot spiral r=csch(θ/3).
The Poinsot spiral r=sech(θ/3).
Examples of two types of Poinsot's spirals.
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