Definition:Reciprocal Spiral

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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


Sources