Decoding the urban grid: or why cities are neither trees nor perfect grids

In a previous paper (Figueiredo and Amorim, 2005), we introduced the continuity lines, a compressed description that encapsulates topological and geometrical properties of urban grids. In this paper, we applied this technique to a large database of maps that included cities of 22 countries. We explore how this representation encodes into networks universal features of urban grids and, at the same time, retrieves differences that reflect classes of cities. Then, we propose an emergent taxonomy for urban grids.

[1]  Bill Hillier,et al.  The social logic of space: Buildings and their genotypes , 1984 .

[2]  Rupert Brooks,et al.  Exploiting Perceptual Grouping for Map Analysis, Understanding and Generalization: The Case of Road and River Networks , 2001, GREC.

[3]  Chris Arney,et al.  Linked: How Everything Is Connected to Everything Else and What It Means for Business, Science, and Everyday Life , 2009 .

[4]  J. H. Ward Hierarchical Grouping to Optimize an Objective Function , 1963 .

[5]  Michael J de Smith,et al.  Geospatial Analysis: A Comprehensive Guide to Principles, Techniques and Software Tools , 2007 .

[6]  Alan Penn,et al.  Creating Life: Or, Does Architecture Determine Anything? , 1987 .

[7]  Alan Penn,et al.  Scaling and universality in the micro-structure ofurban space , 2003 .

[8]  L. Freeman Centrality in social networks conceptual clarification , 1978 .

[9]  C. Ratti Space Syntax: Some Inconsistencies , 2004 .

[10]  James Stirling,et al.  Architects approach to architecture , 1966 .

[11]  Bill Hillier,et al.  Network effects and psychological effects: a theory of urban movement , 2005 .

[12]  M. Newman Power laws, Pareto distributions and Zipf's law , 2005 .

[13]  Vito Latora,et al.  The network analysis of urban streets: A dual approach , 2006 .

[14]  Johan Galtung,et al.  There are alternatives!: Four roads to peace and security , 1984 .

[15]  P. Sneath,et al.  Numerical Taxonomy , 1962, Nature.

[16]  Lucas Figueiredo de Medeiros Linhas de continuidade no Sistema Axial , 2004 .

[17]  K Sneppen,et al.  Networks and cities: an information perspective. , 2005, Physical review letters.

[18]  R. Pastor-Satorras,et al.  Structure of cycles and local ordering in complex networks , 2004 .

[19]  S. Read,et al.  Space Syntax and the Dutch City , 1999 .

[20]  J. Hanson,et al.  Order and structure in urban design: the plans for therebuilding of London after the Great Fire of 1666 , 1989 .

[21]  Alan Penn,et al.  Natural Movement: Or, Configuration and Attraction in Urban Pedestrian Movement , 1993 .

[22]  Valério Medeiros Urbis brasiliae ou sobre cidades do Brasil : inserindo assentamentos urbanos do país em investigações configuracionais comparativas , 2009 .

[23]  Mark Newman,et al.  Detecting community structure in networks , 2004 .

[24]  A. Clauset,et al.  Scale invariance in road networks. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

[25]  John Peponis,et al.  To tame a TIGER one has to know its nature:extending weighted angular integration analysis to the descriptionof GIS road-centerline data for large scale urban analysis , 2003 .

[26]  Albert-László Barabási,et al.  Linked - how everything is connected to everything else and what it means for business, science, and everyday life , 2003 .

[27]  Christophe Claramunt,et al.  Topological Analysis of Urban Street Networks , 2004 .

[28]  Lucas Figueiredo,et al.  Continuity lines in the axial system , 2005 .

[29]  Bill Hillier,et al.  A theory of the city as object: or, how spatial laws mediate the social construction of urban space , 2001 .