The following three figures display nontrivial convexity. In a convex figure, if you pick any two points, the points between them are also a part of the figure. A figure without this property is nonconvex. If you can assemble convex figure B from n copies of figure A , then figure A is n -convex. Here are a few examples of what I consider Trivial Convexity.
Trivial examples display simple rotational or translational symmetry.
For more examples of this, visit Doris Schattschneider's Tiling site . These trivial examples of attaining convexity are easy to find. I'm interested in the Nontrivial examples, such as the following. These are the minimal numbers for each shape. Most of these figures also have odd numbered convexities.