Abstract: The disclosure concerns a peripherally-toothed cutting wheel for parallel series of intermeshed cutting wheels, such as employed for the shredding of tires. Each cutting wheel comprises three congruent disks axially bolted together in which the two outer disks have hardened rectangular teeth radially bolted thereon. The inner sides of these teeth abut the opposite surfaces of the intermediate or third spacer disk peripherally congruent with the two outer teeth-mounting disks. Each rectangular tooth comprises a block of hardened material, such as steel, and may be backed up by a second congruent rectangular block providing an outer wearing surface in addition to the outer side surface of the tooth itself.