Counting Palladian Plans

The parametric shape grammar developed in Stiny and Mitchell (1978) is used to enumerate possible room layouts for Palladian villa plans of fixed sizes. The complete catalogue of room layouts for plans based on 3 × 3 and 5 × 3 grids is given. Members of this catalogue corresponding to Palladio's villa plans in I Quattro Libri dell'Architettura (Palladio, 1965) are identified.