Directed convex polyomino
A directed convex polyomino is one that is both convex and directed.
For convex polyominoes, a polyomino is directed if and only if it contains one of the corners of its bounding box. Note that this is not necessarily true for nonconvex polyominoes: there exist some nonconvex polyominoes that contain a corner of their bounding box but are not directed.
Directed convex polyominoes are a sublass of directed semiconvex polyominoes.