Abstract: A system of tiles for constructing a decorative lattice is disclosed. A basic square section of tile is formed of crossed strips, framed by a border which is much thinner than the strips. The strips are arranged in such a way that when several of the square sections are placed together, the strips appear to run from one tile to the next. In addition, there are tiles comprising various portions of the square section which may be arranged to form arches and other curved shapes.