Definition:Logarithmic Spiral

Definition
The logarithmic spiral is the locus of the equation expressed in Polar coordinates as:
 * $r = a e^{b \theta}$


 * LogarithmicSpiral.png

Also presented as
The logarithmic spiral can also be presented in the form:


 * $\map \ln {\dfrac r a} = \theta \cot b$

or:
 * $r = a e^{\theta \cot b}$

Also known as
Other names for the logarithmic spiral include:


 * equiangular spiral
 * exponential spiral
 * logistic spiral

Also see

 * Logarithmic Spiral is Equiangular
 * Length of Logarithmic Spiral