This invention deals with a morphological genome for design applications. This genome encodes all forms. It comprises a finite set of morphological genes, where each gene specifies a distinct group of morphological transformations defined by a group of independent topological, geometric or other parameters. The morph genes and their parameters are mapped within an integrated higher-dimensional framework with each parameter represented along an independent vector in higher-dimensional Euclidean space. Each distinct number associated with a parameter or a group of parameters is represented by a distinct point in this space referenced by its higher-dimensional Cartesian co-ordinates which represent the genetic code for the specific form being mapped. The morph genome can be used as an interactive design tool to generate known and new forms for applications in all design fields as well as for fabricating these forms when linked with digital fabrication devices within an integrated computational environment.