Definition:Reciprocal Spiral

Definition
The reciprocal spiral is the locus of the equation expressed in Polar coordinates as:
 * $r = \dfrac a \theta$


 * ReciprocalSpiral-positive.png

For negative $r$, the figure appears as:


 * ReciprocalSpiral-negative.png

and when plotted both together:


 * ReciprocalSpiral.png

Also known as
Some sources refer to this as a hyperbolic spiral.

Also see

 * Asymptote of Reciprocal Spiral