Conceived as both an architectural intervention and a game, Tile/Trial was created for the Katzen Museum in Washington DC as part of the exhibition 'Dynamical Systems.' Over the course of the exhibition two teams of student volunteers tiled the walls, doors, windows and floor of the exhibition space using only their team's colour, either red or blue. Points were awarded for enclosing the other teams tiles. Complicating the task was the fact that the two teams' tiles were not same shape, meaning that they did not ﬁt together perfectly.
The theory behind the game comes from projective geometry, which shows up in art, architecture and engineering through a type of “perspective” drawing known as isometric projection. In essence, projection is the study how a three dimensional object can be cast or "projected" onto a two dimensional surface. Shadows, photography and maps are all forms of projective geometry. Ìn the case of the game, one team is assigned a tile that makes the wall seem vertical while the other team is assigned a tile that appears to tilt the wall back in space. As the game takes over more and more of the exhibition space, the viewers' sense of perspective becomes unstable as the walls and floor seem to shift between level and tilting.