A method of shape generation using shape grammars which take shape as primi tive and have shape specific rules is presented. A formalism for the complete, generative specification of a class of non-representational, geometric paintings or sculptures is defined, which has shape grammars as its primary structural com ponent. Paintings are material representations of two-dimensional shapes gener ated by shape grammars, sculptures of three-dimensional shapes. Implications for aesthetics and design theory in the visual arts are discussed. Aesthetics is considered in terms of specificational simplicity and visual complexity. In design based on generative specifications, the artist chooses structural and material relationships and then.