A system for mounting tile relative to a flat surface may include a plurality of tiles and support structure to be mounted to the flat surface. The support structure may have a plurality of support surfaces on which the tiles are mounted such that the tiles are at different angles and/or heights relative to the flat surface. The support surfaces may be arranged in a wide variety of patterns, and may have shapes that correspond to those of the tiles. The tiles and support surfaces may have a wide variety of shapes. The support structure may be a single piece on which all of the support surfaces are formed, or may be created through the assembly of multiple support blocks, each of which has one or more of the support surfaces thereon.