Serpentine curve

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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


Serpentine curves were studied by L'Hôpital and Huygens, and named and classified by Newton.

Visual appearance[edit]

The serpentine curve for a = b = 1.

External links[edit]