Abstract: An abrasive article having a plurality of apertures arranged in a non-uniform distribution pattern, wherein the pattern is spiral or phyllotactic, and in particular those patterns described by the Vogel equation. Also, provided is a back-up pad having a spiral or phyllotactic patterns of air flow paths, such as in the form of open channels. The back-up pad can be specifically adapted to correspond with an abrasive article having a non-uniform distribution pattern. Alternatively, the back-up pad can be used in conjunction with conventional perforated coated abrasives. The abrasive articles having a non-uniform distribution pattern of apertures and the back-up pads can be used together as an abrasive system.

Abstract: An abrasive article having a plurality of apertures arranged in a non-uniform distribution pattern, wherein the pattern is spiral or phyllotactic, and in particular those patterns described by the Vogel equation. Also, provided is a back-up pad having a spiral or phyllotactic patterns of air flow paths, such as in the form of open channels. The back-up pad can be specifically adapted to correspond with an abrasive article having a non-uniform distribution pattern. Alternatively, the back-up pad can be used in conjunction with conventional perforated coated abrasives. The abrasive articles having a non-uniform distribution pattern of apertures and the back-up pads can be used together as an abrasive system.

Abstract: An abrasive article having a plurality of apertures arranged in a non-uniform distribution pattern, wherein the pattern is spiral or phyllotactic, and in particular those patterns described by the Vogel equation. Also, provided is a back-up pad having a spiral or phyllotactic patterns of air flow paths, such as in the form of open channels. The back-up pad can be specifically adapted to correspond with an abrasive article having a non-uniform distribution pattern. Alternatively, the back-up pad can be used in conjunction with conventional perforated coated abrasives. The abrasive articles having a non-uniform distribution pattern of apertures and the back-up pads can be used together as an abrasive system.

Abstract: An abrasive article having a plurality of apertures arranged in a non-uniform distribution pattern, wherein the pattern is spiral or phyllotactic, and in particular those patterns described by the Vogel equation. Also, provided is a back-up pad having a spiral or phyllotactic patterns of air flow paths, such as in the form of open channels. The back-up pad can be specifically adapted to correspond with an abrasive article having a non-uniform distribution pattern. Alternatively, the back-up pad can be used in conjunction with conventional perforated coated abrasives. The abrasive articles having a non-uniform distribution pattern of apertures and the back-up pads can be used together as an abrasive system.

Abstract: An abrasive article having a plurality of apertures arranged in a non-uniform distribution pattern, wherein the pattern is spiral or phyllotactic, and in particular those patterns described by the Vogel equation. Also, provided is a back-up pad having a spiral or phyllotactic patterns of air flow paths, such as in the form of open channels. The back-up pad can be specifically adapted to correspond with an abrasive article having a non-uniform distribution pattern. Alternatively, the back-up pad can be used in conjunction with conventional perforated coated abrasives. The abrasive articles having a non-uniform distribution pattern of apertures and the back-up pads can be used together as an abrasive system.

Abstract: An abrasive article having a plurality of apertures arranged in a non-uniform distribution pattern, wherein the pattern is spiral or phyllotactic, and in particular those patterns described by the Vogel equation. Also, provided is a back-up pad having a spiral or phyllotactic patterns of air flow paths, such as in the form of open channels. The back-up pad can be specifically adapted to correspond with an abrasive article having a non-uniform distribution pattern. Alternatively, the back-up pad can be used in conjunction with conventional perforated coated abrasives. The abrasive articles having a non-uniform distribution pattern of apertures and the back-up pads can be used together as an abrasive system.

Abstract: A nail care system for buffing and polishing fingernails and toenails is disclosed. The system includes a nail care strip that includes a layer of a liquid silicone resin formulation and abrasive grains.

Abstract: A method of cleaning a household kitchen or bath solid surface includes placing a cleaning article on the solid surface that includes a foreign matter. The method further includes abrading the solid surface with the cleaning article to remove the foreign matter. The cleaning article includes a layer of a liquid silicone rubber formulation and abrasive grains.

Abstract: The invention provides a sanding system comprising a detachable sanding pad with a plurality of sides adapted for different degrees of sanding retained in contact with a backing plate by teeth penetrating into opposed sides of the sanding pad.

Abstract: Systems and techniques for promotion of financial services to consumers are described. In one aspect, a system comprises a database of provider information including identification of affiliated providers, the services offered by the providers and categories of customers served by the providers and incentives offered by the providers, as well as an incentive information database including identification of incentives offered in exchange for selecting affiliated providers, levels of incentives offered and qualification requirements for each incentive and incentive level.

Abstract: The invention provides a sanding system comprising a detachable sanding pad with a plurality of sides adapted for different degrees of sanding retained in contact with a backing plate by teeth penetrating into opposed sides of the sanding pad.

Abstract: Sanding tools made from a block of a foamed polymer sponge having two contiguous sides meeting at a right angle that are provided with an abrasive coating and which have in addition a means for grasping the tool formed in the body of the sponge so that the user can simultaneously sand two walls meeting to form a corner.

Abstract: Abrasive discs for use with orbital sanders having dust extractor systems are provided in which the discs are adapted for use with orbital sanders having different patterns and numbers of dust extractor holes.