A plane includes a plane body having an opening positioned in a bottom surface of the plane body, an angled support structure carried by the plane body, a blade supported by the angled support structure, the blade having an edge positionable to protrude from the opening, and a lateral stabilizer constructed and arranged to inhibit a lateral movement of the blade while permitting a longitudinal movement of the blade. The blade adjuster is operatively connected with the blade and longitudinally moves the blade so as to control a distance that the edge of the blade protrudes through the opening and laterally moves the blade so as to control an angle of the edge of the blade relative to the bottom surface of the plane body.