A novel method to produce space layout topologies for architectural design is described. From the uniformly distributed design solutions in the solution space the corresponding design requirements are computed according to a given norm and metric function. The system is based on graph representation of the layout so that the desired relations between the pairs of nodes are considered to be independent variables of appropriate series of multivariable functions mapping the requirements into the solution space. The system so established is used as a knowledge-base for robust layout design where knowledge base having been established, the layout design requirements are introduced to the system as design constraints and the output is identified in the multidimensional solution space by means of interpolation. Since the smoothness of the interpolation is guaranteed, robust design layout, in the form of node locations, is obtained.