Studies of the origins of linear perspective in European painting tend to focus on developments in treatment of the spatial dimension, with attention especially devoted to mathematical principles that underlie the representation of three-dimensional space. The theoretical understanding of this is first articulated in Alberti’s treatise De pictura (1435). Given that carpets are relatively flat objects, and that their patterning, no matter how complex, was intended to be viewed as two-dimensional, the linking of carpets to the representation of three-dimensional space would seem to be paradoxical. But the relationship may actually find a basis in historical reality. Carpets produced in the “Orient” in the fifteenth century and earlier were im...