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Pappus Spiral

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PappusSpiral

The Pappus spiral is the name given to the conical spiral with parametric equations

x(t)=asin(alphat)cost
(1)
y(t)=asin(alphat)sint
(2)
x(t)=acos(alphat)
(3)

by Ferréol. It was studied by Pappus in the 4th century BC, Pascal in 1779, and Chasles in 1843 (Ferréol).

It is essentially the same as the "general form" of the conical spiral.

See also

Concho-Spiral, Conical Spiral

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References

Ferréol, R. "Pappus Spiral." https://mathcurve.com/courbes3d.gb/spiraleconic/pappus.shtml.

Cite this as:

Weisstein, Eric W. "Pappus Spiral." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/PappusSpiral.html

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