Designers refer to "concepts" as manifold relationships framing original design possibilities. Concepts - verbal or schematic - are economical and inclusive means towards the application of a particular order. This study offers a computational account of the use of concepts in creative design. Shape formalism - a computational theory introduced by Stiny and Gipps - is used to map the role of design concepts. Shape formalism engages a calculating part and a syntactic-interpretive part. The calculating part consists of shape algebras where the elements of Euclidean space are used in...