A bone plate system includes (a) Bone Plate having a bottom surface for contacting bone, an upper surface and at least one through hole extending from the bottom surface to the upper surface, the through hole having a central axis and a cross-section that extends orthogonally to the central axis and is one of at least partially polygonal, at least partially prismatic, and at least partially elliptical (b) Bushing within the through hole, Bushing including a central bore designed to receive a bone fixation element, a cross-section of Bushing orthogonal to the longitudinal axis of Bushing is shaped substantially the same as the cross-section of the through hole so that Bushing is secured against rotation about its longitudinal axis and (c) at least one Bone Fixation Element having a portion for anchoring within bone, Bone Fixation Element configured and dimensioned for insertion into the central bore of Bushing.