Abstract: A Gigli saw used by a surgeon to cut bones is constructed of a plurality of round wires which have been deformed in a coining stand so that they form one polygonal shape which in the preferred embodiment is square. This square strand is then twisted along its own axis in a given direction of lay. It is then heat-treated for stress relief and a plurality, such as three, of such strands are twisted together to form a cable. This results in a Gigli saw blade with many cutting edges formed at the edges of the polygon as each such edge is presented at the periphery of the cable. Preferably, the strands have a different number of twists from that of the cable, and are twisted in the opposite direction so that the cutting edges lie at about 5 to 15 degrees relative to the longitudinal axis of the cable.