A method for implementing parametric shape grammars is presented. Subgraph detection is used to find subshapes. Parametric shapes are described by restricting topologies.
GRAPPA, an implementation of the Palladian grammar, is introduced. Graphs are used for the underlying representation, graph grammars take over the computation. Once a set of graph grammar rules equivalent to the original set of shape rules is defined, derivations, in the form of attributed graphs, are generated. These graphs contain all necessary information to output floor plans of Palladian villas using an appropriate mapping.
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The shape grammar formalism has been discussed theoretically extensively. Recently there has been increased activity in implementing shape grammar interpreters, yet there is a lack of implementations that support parametric rules and emergence. Here the structure of a general parametric shape grammar interpreter is discussed in detail. The interpreter is based on graph grammars. It supports emergence, parametric rules, and numerous types of geometric objects. The shape grammar engine, an agent-based rule selection system and several implementations based on the engine are discussed.
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