Due to the rapid changes in the activities of modern society, architecture is in need of adaptable spaces. To meet this need, architects search to find new ways of producing architecture. Movement is accepted as the principle concept by some of designers. They usually reach transformable, deployable or foldable structures with a particular type of mechanism by using advanced mechanical knowledge. There is not a method for the designers who know very little about mechanisms. The main purpose of this study is to develop a method for the construction of expandable planar surfaces. This method has been developed from mathematical regular tessellation technique in the light of architectural, mechanical and mathematical interdisciplinary approach.