The Mathematics of Urban Morphology

On Urban Morphology and Mathematics.- Part I: Fractals.- Fractal Dimension Analysis of Urban Morphology Based on Spatial Correlation Functions.- Central Place Theory and Power Laws for Cities.- Distribution of Cities Size: Zipf, Gibrat, Pareto Law.- Signature of Organic Urban Growth: Degree Distribution of the City's Street Network Structure.- A Fractal Approach to Explore Australian Urban Form and Its Impacting Factors at Neighborhood Scale.- Part II: Cellular Automata.- Geographic Cellular Automata for Urban Form.- Mathematical Foundations of Cellular Automata and Complexity Theory.- Part III: Spatial Networks and Space Syntax.- Mathematics of Urban Spatial Networks.- Space Syntax: A Network Based Configurational Approach to Studying Urban Morphology.- Applied Mathematics on Urban Space.- The Morphology and Circuity of Street Networks.- Part IV: Complexity.- Emergence of Complexity in Urban Morphology.- Complexity, Darwinian Mutations, and Selection in Urban Morphology Evolution: How Mathematics Looks at Escher Metamorphosis.- A Topological Representation for Taking Cities as a Coherent Whole.- Part V: Other Forms of Quantification.- A Multiscale Classification of the Urban Morphology for Use in Quantitative Models.- An Urban Morphogenesis Model Capturing Interactions Between Networks and Territories.- Continuum Percolation and Spatial Point Pattern in Application to Urban Morphology.- Urban Compactness: New Geometric Interpretations and Indicators.- Using Google Street View for Street Level Urban Form Analysis.- Examining Spatial Structure Using Gravity Models.- Part VI: Humanistic and Multidisciplinary Commentaries.- From Morphology to Morphogenesis: Putting Mathematics in Its Place.- Not Only ... But Also: Urban Mathematical Models and Urban Social Theory.- Urban Morphology or Townscape? Wholes Made of Many Parts.- Extending Urban Morphology: Drawing Together Quantitative and Qualitative Approaches.- Mathematics and Cities: A Long-Standing Relationship Fit for the Future.- Mathematics and/as Humanities. Linking Humanistic Historical to Quantitative Approaches.- Urban Form, Agents and Processes of Change.- The Future of Streets.- Understanding and Quantifying Urban Density Towards a More Sustainable City Form.- To Not Talk Past Each Other: An Immodest Proposal for Cross-Conceptual Research in Urban Morphology.