Golf club heads

A golf club head, comprising:

• a body having a frame including a front body portion having a hosel portion with a hosel bore defining a shaft axis and a shaft axis plane, a rear ring portion, a crown opening formed in part by the front body portion and the rear ring portion, a face, and a sole;
• a nonmetallic crown attached to the frame and covering the crown opening and defining an interior cavity, wherein the nonmetallic crown has a crown leading edge;
• the face having a face center and defining a loft plane that is tangent to the face center, an origin for an x-axis, y-axis, and z-axis, wherein the x-axis is tangential to the origin and parallel to a ground plane, the y-axis is perpendicular to the x-axis and extends away from the face toward the rear ring portion and is parallel to the ground plane, and the z-axis extends vertically from face center and is perpendicular to the ground plane;
• a vertical center face plane includes the y-axis and the z-axis and creating a vertical center face section through the club head and having a center face offset loft plane that is parallel to the loft plane and offset an offset plane distance from the loft plane;
• at least a first heelward offset vertical plane parallel to the vertical center face plane and offset along the x-axis a distance of 5 millimeters toward the hosel portion, and creating a 5 mm offset vertical section having a 5 millimeter heelward localized loft plane and a 5 millimeter heelward localized offset loft plane offset the offset plane distance from the 5 millimeter heelward localized loft plane;
• at least a first toeward offset vertical plane parallel to the vertical center face plane and offset along the x-axis a distance of 5 millimeters away from the hosel portion, and creating a −5 millimeter offset vertical section having a −5 millimeter toeward localized loft plane and a −5 millimeter toeward localized offset loft plane offset the offset plane distance from the −5 millimeter toeward localized loft plane;
• the offset plane distance is 6 millimeters and within the vertical center face section a portion of the crown leading edge is forward of the center face offset loft plane, within the 5 millimeter offset vertical section a portion of the crown leading edge is forward of the 5 millimeter heelward localized offset loft plane, and within the −5 millimeter offset vertical section a portion of the crown leading edge is forward of the −5 millimeter toeward localized offset loft plane;
• and
• within the vertical center face section a portion of the crown in front of the center face offset loft plane has a center face crown radius of curvature of less than 15 mm, within the 5 millimeter offset vertical section a portion of the crown in front of the 5 millimeter heelward localized offset loft plane has a 5 millimeter heelward crown radius of curvature of less than 15 mm, and within the −5 millimeter offset vertical section a portion of the crown in front of the −5 millimeter toeward localized offset loft plane has a −5 millimeter toeward crown radius of curvature of less than 15 mm.