Disclosed are systems and methods which provide durable and substantially smooth surfaces comprised of a number of smaller pieces of surfacing material. For example, tiles of natural materials, such as marble or granite, are formed into larger unitary structures, wherein the surfaces of the tiles are substantially dead flat and the seams therebetween are diminished in size so as to minimize their visual impact. These unitary structures are preferably adapted to interconnection to thereby allow formation of substantially larger surfaces. Jig apparatus and methods for there use are disclosed for casting unitary structures of various shapes and configurations in such a manner that a dead flat surface with very little to zero lippage is provided.