Abstract: This invention relates to improved abrading elements for honing tools containing a plurality of abrading elements, which may be rotated and/or radially moved in contact with the surface to be honed, the improvement comprising an abrading element embodying an abrasive article, having an abrading face and an opposite, substantially flat, attachment face, in a molded plastic, unitary, support structure, the unitary support structure having a substantially flat support face to which the attachment face of the abrasive article attaches, the support face having voids therein such that from about 70 to 90 percent of the surface area of the attachment face of the abrasive article is in contact with the support face and the support face being resiliently supported by a triangular truss support bridge intimately molded therewith.