
For the meander curve the curvature is linear related to the sine of the arc
length s. It appears that this meander curve has the smallest variation of changes of direction, in comparison to other curves with a meanderlike form. When you hold a thin strip of spring steel firmly at two points, and allow
the length between those points to assume an unconstrained shape, the same curve
form results.
notes 1) Scientific American of June 1966
