In this case the sinusoidal spiral is a polynomial lemniscate
2.
It is also a type of sinusoidal spiral, and an inverse curve of the parabola with the focus as the center of inversion.
3.
When " n " is an integer, and " n " points are arranged regularly on a circle of radius " a ", then the set of points so that the geometric mean of the distances from the point to the n points is a sinusoidal spiral.