fig1 depicts a rotary polishing disc in accordance with the present invention referred to by a general reference character 10 . the rotary polishing disc 10 preferably includes a cylindrically - shaped hub 12 and a disc - shaped piece 14 of sheet material . as illustrated by dashed circular lines in fig1 a , disc - shaped pieces 14 are preferably cut , stamped , or punched from a sheet 16 of thin flexible material coated with abrasive material 18 on one or both sides in accordance with the description set forth in u . s . pat . no . 3 , 014 , 795 . the hub 12 is formed symmetrically about a longitudinal axis 22 that extends through a hollow interior 24 of the hub 12 . when assembled into the rotary polishing disc 10 , the hub 12 is juxtaposed with and fixed to a surface 26 of the disc - shaped piece 14 so the longitudinal axis 22 is oriented substantially perpendicular to the surface 26 . the hollow interior 24 of the hub 12 is formed with a cross - sectional shape that is adapted to receive a projecting end 32 of a mating arbor 34 . a second end 36 of the arbor 34 , distal from the projecting end 32 , is adapted for conventional attachment to a rotary drive not illustrated in any of the figs . the projecting end 32 of the arbor 34 and the mating hollow interior 24 may be formed to have any desired cross - sectional shape that resists slippage between the rotating arbor 34 and the mating hub 12 received onto the projecting end 32 . such cross - sectional shapes include square , as illustrated in fig1 b , round , triangular , hexagonal , octagonal or fluted . fig1 b illustrates that the hubs 12 are preferably cut , as indicated by dashed lines 42 , from a length of plastic tube 44 extruded from pvc ( polyvinyl chloride ) material . however the hubs 12 can be made in other ways from pvc or from any material having suitable physical and mechanical characteristics . in fabricating the rotary polishing disc 10 , one end of the hub 12 is preferably fixed to the surface 26 by a bead 52 of adhesive material that encircles the hub 12 about a juncture 54 between the hub 12 and the disc - shaped piece 14 . the adhesive material , which is preferably a medical device adhesive marketed by loctite corporation having product no . 3341 ( part no . 23792 ), is an ultraviolet (“ uv ”) cured pvc bonding material . alternatively to the use of the adhesive material , the hub 12 may be fixed to the disc - shaped piece 14 either by ultrasonic welding or by thermo - compression bonding . the projecting end 32 of the arbor 34 is slightly oversized in comparison with the hollow interior 24 of the hub 12 to provide a tight fit therebetween . to further resist slippage between the arbor 34 and the hub 12 , the arbor 34 may include barbs 62 , shown with dashed lines in fig1 which spear the surrounding hub 12 when the hollow interior 24 is disposed on the arbor 34 . as illustrated in fig1 the barbs 62 are preferably oriented to impede detachment of the hub 12 from the arbor 34 . in the embodiment of the rotary polishing disc 10 depicted in fig1 the projecting end 32 may enter completely into the hollow interior 24 of the hub 12 and become juxtaposed with the disc - shaped piece 14 to resist wobbling of the rotary polishing disc 10 on the rotating arbor 34 . fig2 depicts an alternative embodiment of the rotary polishing disc 10 . those elements depicted in fig2 that are common to the rotary polishing disc 10 illustrated in fig1 carry the same reference numeral distinguished by a prime (“′”) designation . the rotary polishing disc 10 ′ depicted in fig2 includes an elongated hub 72 having a mushroom - shaped first end 74 . the first end 74 is juxtaposed with and fixed to the surface 26 ′ of the disc - shaped piece 14 ′ with the longitudinal axis 22 ′ of the hub 72 disposed substantially perpendicular to the surface 26 ′. the hub 72 has a second end 76 that projects away from the disc - shaped piece 14 . the second end 76 of the hub 72 is pierced by at least one slot 78 which establishes two flexible arms 82 . an end of each of the flexible arms 82 furthest from the first end 74 is formed with an outwardly projecting tip 84 . the flexible arms 82 can be formed to have various alternative cross - sectional shapes perpendicular to the longitudinal axis 22 ′ including round , square , triangular , hexagonal , octagonal or fluted . fig2 also depicts an arbor 92 having a hollow socket 94 that is adapted to mate with and receive the second end 76 of the hub 72 . to resist slippage between the arbor 92 and the hub 72 , the socket 94 is formed with substantially the same or similar cross - sectional shape perpendicular to the longitudinal axis 22 ′ as the flexible arms 82 of the hub 72 . to create a snap lock between the arbor 92 and the hub 72 , the socket 94 is formed with a groove 96 that is adapted to receive the projecting tip 84 formed at the end of each of the flexible arms 82 . slightly oversize configuration of the hub 72 with respect to the socket 94 causes the flexible arms 82 to be compressed as the second end 76 is inserted into the socket 94 . insertion of the second end 76 completely into the socket 94 permits each tip 84 to be received into the groove 96 thereby relieving the compression of the flexible arms 82 . this permits the rotary polishing disc 10 ′ to be attached or detached quickly and easily from the arbor 92 while holding the rotary polishing disc 10 ′ securely during use . similar to the rotary polishing disc 10 depicted in fig1 the mushroom - shaped first end 74 of the hub 72 is preferably fixed to the surface 26 ′ by a bead 52 ′ of adhesive material that encircles the first end 74 about a juncture 54 ′ between the hub 72 and the disc - shaped piece 14 ′. alternatively , the hub 72 may be fixed to the disc - shaped piece 14 either by ultrasonic welding or by thermo - compression bonding . fig3 depicts an alternative embodiment of the rotary polishing disc 10 ′ illustrated in fig2 . those elements depicted in fig3 that are common to the rotary polishing disc 10 illustrated in fig1 or to the rotary polishing disc 10 ′ illustrated in fig2 carry the same reference numeral distinguished by a double prime (“″”) designation . the disc - shaped piece 14 ″ of the rotary polishing disc 10 ″ depicted in fig3 is pierced by a central aperture 102 that is situated adjacent to the hub 72 ″. the embodiment of the hub 72 ″ illustrated in fig3 has a cavity 104 formed into the hub 72 ″ adjacent to the central aperture 102 . the rotary polishing disc 10 ″ illustrated in fig3 also includes a retainer plug 112 . the retainer plug 112 includes a thin flat cap 114 or shoulder , a series of ribs 116 that encircle the retainer plug 112 , and a pointed tip 118 . to fix the disc - shaped piece 14 ″ more securely to the hub 72 ″, the pointed tip 118 is inserted through the central aperture 102 and into the cavity 104 until the flat cap 114 becomes juxtaposed with a surface of the disc - shaped piece 14 ″ furthest from the hub 72 ″. the ribs 116 . encircling the retainer plug 112 are shaped slightly oversize with respect to the cavity 104 to establish a frictional engagement therebetween for retaining the retainer plug 112 in the cavity 104 . before the pointed tip 118 is inserted into the cavity 104 , an adhesive material 112 may be coated onto the retainer plug 112 to add an adhesive bond between the retainer plug 112 and the hub 72 ″. fig4 depicts an alternative embodiment of the rotary polishing disc 10 illustrated in fig1 . those elements depicted in fig4 that are common to the rotary polishing disc 10 illustrated in fig1 or to the rotary polishing disc 10 ″ illustrated in fig3 carry the same reference numeral distinguished by a triple prime (“′″”) designation . similar to the disc - shaped piece 14 ″ of the rotary polishing disc 10 ″ depicted in fig3 the disc - shaped piece 14 ′″ depicted in fig4 is pierced by a central aperture 102 ′″ adjacent to the hub 12 ′″. to fix the disc - shaped piece 14 ′″ more securely to the hub 12 ′″, the pointed tip 118 ′″ of the retainer plug 112 ′″ depicted in fig4 is inserted through the central aperture 102 ′″ and into the hollow interior 24 ′″ of the hub 12 ′″ until the flat cap 114 ′″ becomes juxtaposed with a surface of the disc - shaped piece 14 ′″ furthest from the hub 12 ′″. the ribs 116 ′″ encircling the retainer plug 112 ′″ are shaped slightly oversize with respect to the hollow interior 24 ′″ to establish a frictional engagement therebetween for retaining the retainer plug 112 ′″ in the hollow interior 24 ′″. before the pointed tip 118 ′″ is inserted into the cavity 104 ′″, an adhesive material 112 ′″ may be coated onto the retainer plug 112 ′″ to add an adhesive bond between the retainer plug 112 ′″ and the hub 12 ′″. although the present invention has been described in terms of the presently preferred embodiment , it is to be understood that such disclosure is purely illustrative and is not to be interpreted as limiting . consequently , without departing from the spirit and scope of the invention , various alterations , modifications , and / or alternative applications of the invention will , no doubt , be suggested to those skilled in the art after having read the preceding disclosure . accordingly , it is intended that the following claims be interpreted as encompassing all alterations , modifications , or alternative applications as fall within the true spirit and scope of the invention .