A cutting tooth assembly for a rotary cutting machine is described. The assembly includes a tooth holder adapted for mounting about the periphery of a rotating element of the rotary cutting machine, and a reversible cutting tooth, removably mounted to said tooth holder. The cutting tooth has opposed first and second cutting faces which are spaced apart along a central tooth axis extending therebetween. Each of the first and second cutting faces at least partially defines more than two cutting edges, and the cutting tooth is reversible by 180 degrees about a transverse tooth axis to dispose a selected one of the first and second cutting faces in an operable cutting position when mounted to the tooth holder.