Abstract
The purpose of this study is to make geometrical logic clear and to introduce a logical method to design process for more intelligent architectural layout planning. In this paper, a procedure to derive the rectangular mosaic patterns is proposed, which are fundamental forms to be modified for the practical planning. This procedure can be divided into 3 steps roughly. First step : The graph which represents all the adjacencies between two rooms has to be defined, and for mathematical operation the adjacency matrix as well. Second step : The dual graph is to be transformed from the given primal graph. Some mathematical and geometrical methods are presented on the basis of electric circuit models for this transformation. Third step : Finally, all the possible rectangular mosaic patterns are to be found. Every pattern is isomorphic to the dual graph transformed at second step. The author and his assistant have developed the interactive pattern editor on CRT, in oder to select and modify the patterns obtained. This editor is realized to be very helpful especially for small scale projects. The result data are to be input to the CAD device. The development of more sophisticated editor is expected in future.
