A bone plate and plating system are for use of the same are disclosed. The bone plate includes a body having a span sufficient to overlap a portion of a bone. A screw hole extends through the body in order to receive a bone screw to attach for engaging the plate to the bone. The screw hole includes a counterbore having a beveled surface that intersects at a pinch point a bore having a conical surface of revolution that transitions into the bone engaging surface of the body. The beveled surface includes a variable geometry defining interleaved and rotationally-spaced contact and non-contact bone screw regions.