Hyperbolic spiral
From Wikipedia, the free encyclopedia.

A hyperbolic spiral is a transcendental plane curve also known as a reciprocal spiral. It has the polar equation rθ = a, and is the inverse to the Archimedean spiral.

It begins at an infinite distance from the pole in the centre, it winds faster and faster around as it approaches the pole, the distance from any point to the pole, following the curve, is infinite. The following is a parametric representation in Euclidean coordinates:

x = a/t cos t

y = a/t sin t

where t is a parameter. It has an asymptote at y = a.

The original article can be found at: http://en.wikipedia.org/wiki/Hyperbolic_spiral.
All text is available under the terms of the GNU Free Documentation License.