A set in is concave if it *does not* contain all the line
segments connecting any pair of its points. If the set *does*
contain all the line segments, it is called convex.

# Concave

## See also

Connected Set, Convex Function, Concave Polygon, Convex Hull, Convex Optimization Theory, Convex Polygon, Delaunay Triangulation, Simply Connected## Explore with Wolfram|Alpha

## Cite this as:

Weisstein, Eric W. "Concave." From *MathWorld*--A Wolfram Web Resource. https://mathworld.wolfram.com/Concave.html