Serpentine curve
For serpentine shapes in architecture and design, see Serpentine shape.
A serpentine curve is a curve whose equation is of the form
Equivalently, it has a parametric representation
,
or functional representation
History
Serpentine curves were studied by L'Hôpital and Huygens, and named and classified by Newton.
Visual appearance
![](../I/m/Serpentine_curve.png)
The serpentine curve for a = b = 1.