This paper describes a shape grammar that recreates Palladio's villas. A Palladian grammar was previously proposed by Stiny and Mitchell. However, this alternative grammar uses different parametric shape rules and methodology to test the hypothesis that different grammars can generate the same corpus of designs. The formalism is then implemented using a computerised design tool. The grammar includes subdivision rules that allow for a more economical formulation. The project is part of wider research aimed at formulating a generic housing grammar.