**O. Aichholzer, F. Aurenhammer, C. Icking, R. Klein, E. Langetepe, and
G. Rote**

We consider all planar oriented curves that have the following property. For
each point on the curve, the rest of the curve lies inside a wedge of
angle with apex in , where is fixed. This
property restrains the curve's meandering. we provide an upper bound
for the length of such a curve, divided by the distance between
its endpoints, and prove this bound to be tight. A main step is in proving
that the curve's length cannot exceed the perimeter of its convex hull,
divided by
.