Abstract: Abrading tools having shaped solid bodies composed of wearable matrix material and embedded fibers of harder abrasive material with ends exposed at the working surfaces of the tools and constituting the abrasive or cutting elements of the tools. In one case, a honing stone has closely spaced cylindrical fibers arranged in rows of fibers substantially perpendicular to the working face, which has a slight transverse curvature, and alternate arrangements inclined relative to the face so that the ends are oval. In another case, an abrading wheel has radial fibers and another has longitudinal fibers for end-working applications. Suitable fiber materials for machining metals may be boron and boron compounds.