Representing geographic space as a hierarchy of recursively defined subspaces for computing the degree of order

As Christopher Alexander discovered, all space or matter – either organic inorganic has some degree of order in it according to its structure and arrangement. The refers a kind structural character, called living structure, which is defined as mathematical that consists numerous substructures with an inherent hierarchy. Across the hierarchy, there are far more small than large ones, while on each level hierarchy less similar size. In this paper we develop new approach representing geographic recursively subspaces for computing order. A first represented subspaces, then topologically network space, well subspaces. Unlike conventional representations, mechanical nature, representation organic, conceived, developed under third view space; is, neither lifeless nor neutral, but capable being living. Thus, can also be referred life, beauty, coherence, harmony. We applied three urban environments, 253 patterns, 35 black-white strips verify demonstrate advantages further discuss implications information science sustainable planning.