Abstract: Accressory burnishing-treatment apparatus for treatment, namely deburring, turning corners, polishing or cleaning of elements, namely metal, plastic, or ceramic (typically glass) elements. The apparatus is a self-contained hollow sphere, preferably made from substantially abrasion-resistant plastic, that works in conjunction with typically any traditional vibratory tumbling machine. The apparatus preferably has a screw-in port lid or closure member which opens to spherical inner space allowing insertion and later removal from the spherical inner space each of elements after treatment thereof, and removal of that was media necessary for the treatment. Liquid and/or dry or wet media may be used with the elements in combination.