Convexity (InstanceTopic, 3)
From Hi.gher. Space
Convexity is a term used to describe shapes. There are three types of convexity:
Convex
If a shape is convex, it has the property that the line segment joining any two vertices in the shape is entirely inside or on the boundary of the shape. Convex shapes are also equal to their own convex hull.
Concave
If a shape is concave, it is possible to find a line segment joining two vertices in the shape that is partially outside of the shape.
Self-intersecting
If a shape is self-intersecting, it has the property that not every point in it is uniquely representable by its Cartesian coordinates relative to the shape's net space. There are several problems with self-intersecting shapes. A self-intersecting shape can however be made concave and appear the same to a hypothetical observer, while remedying these problems.
