Researchers commonly develop notched drill points with secondary cutting edges that have unusual specifications; however, mathematical models cannot comprehensively specify these thinned!notched drill points. In an earlier work (Lin, P. D., and Tzeng, C. S., 2007, "New Method fo r Determination o f the Pose o f the Grinding Wheel fo r Thin ning Drill Points," Int. J. Mach. Tools Manufi, 47(15), pp. 2218-2229), precise mathe matical modeling fo r drill design and one-wheel grinding o f ISO-standard drills with linear secondary cutting edges was presented. That model is expanded herein to drill points with a specifiable secondary cutting edge and characteristic angle distribution. Optionally, the entire cutting edge (primary, secondary, and chisel edges) can be pro vided with C 1 continuity to eliminate stress concentration points. The mathematical back ground and modeling are summarized in this study. Experimental drills are produced and tested fo r verification and demonstration. The presented modeling technique allows sub sequent researchers to exactly duplicate the drills, including the thinning!notching drill points, a capability that was previously unavailable. This system is useful fo r improved drill CAD and CNC software fo r the design, manufacture, reconditioning, and research o f novel point design. [ D O I : 1 0 .1 1 1 5 /1 .4 0 2 7 4 1 4 ]