Cutter with geometric cutting edges

A cutting element includes a base and a cutting face at opposite axial ends, a side surface extending between the base and the cutting face, an edge formed between the cutting face and the side surface, an edge chamfer having a uniform size around the entire edge, and a geometric shape formed on the cutting face and defined by a concave boundary with respect to a longitudinal axis of the cutting element. The concave boundary includes multiple rounded vertices, each rounded vertex located proximate to the edge chamfer and forming a cutting tip and multiple geometric shape sides connecting the rounded vertices, wherein the geometric shape sides are concave with respect to the longitudinal axis.