Abstract: A cutting apparatus for cutting a corner from sheet material to a selectable profile. In one set of embodiments, the cutting apparatus comprises a cutting assembly that includes a cutting element having a plurality of cutting profiles wherein each cutting profile may have a unique profile. The cutting assembly is configured such that an active cutting profile is selectable from the plurality of cutting profiles available on the cutting element. Engagement of the active cutting profile with one or more pieces of sheet material cuts a corner from the sheet material to a profile indicative of the active cutting profile. Cutting profiles may include curves having a uniform or variable radius of curvature and other forms appropriate for cutting a corner of sheet material.