EDGE

noun

1. The boundary line of a surface.
2. A one-dimensional face of a polytope. In particular, the joining line between two vertices of a polygon; the place where two faces of a polyhedron meet.
3. An advantage.

verb

1. To move an object slowly and carefully in a particular direction.
2. To move slowly and carefully in a particular direction.
3. (usually in the form 'just edge') To win by a small margin.