Abstract: Connector plates are positioned at selected truss joints by representing each wood member of the truss as a corresponding two-dimensional polygon. Each side of the polygon is defined by a corresponding member vector having starting and ending points relative to a predetermined reference point. A particular member vector is selected as a boundary vector for each joint boundary, beyond which the connector plate cannot extend. The connector plate is represented as a rectangle of predetermined dimensions corresponding to the actual plate dimensions. Each side of the rectangle is defined by a corresponding plate vector having starting and ending points relative to the reference point. The rectangle is moved within the prescribed joint boundaries by eliminating the points of intersection between the boundary vectors and the plate vectors.