Abstract: This invention pertains to machinery and methods for cutting a workpiece utilizing a cutting tool into at least two parts having prescribed shapes from a metal plate comprising the steps of: identifying each of the parts by one or more contour lines; cutting a workpiece along one of the identifying contour lines into one of the parts; creating at least one path diversion, wherein the diversion has an associated bounded region or opportunity; cutting the workpiece along a contour line associated with the opportunity; resuming the cutting of the part along the identifying contour line with minimal damage to the part being cut; finishing the cutting of the part and then moving the cutting tool to the opportunity and thence to an associated adjacent identifying contour line and then repeating the process until all parts have been manufactured.