A surface-covering system and methods for making and using the same. The system includes a plurality of components each being a substantially planar portion having plurality of edges and an upper surface and an under surface. A second portion is attached to the under surface of the planar portion along a predetermined one of the edges, forming a thickened edge that has a predetermined cross-section. The plurality of components are placed edge-to-edge to cover a surface. If desired, the edges can be straight and/or the upper and lower surfaces of the components can be rectangular. Also, the cross-section of the thickened edge can be an arc of a circle. The second portion can be attached to the under surface of the planar portion by an adhesive such as an epoxy adhesive. The component can be made from a quarry material such as granite.