WorldCIST'14 - The 2014 World Conference on Information Systems and Technologies

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Fractal Analysis of Urban Forms: Study of Fractal Dimension and Municipal Human Development Index (MHDI)

The concepts of fractal geometry, which were developed by
Mandelbrot, complement Euclidean geometry as they provide theoretical dimensional fundamentals for shapes whose irregularities cannot be properly interpreted by classical topological definitions. Urban studies supported by
geotechnologies have great potential for applying Mandelbrot’s theories as a conceptual reference for analyzing phenomena presenting fractal behaviors. In this approach, the fractal dimension of the territorial space occupied by cities is considered an indicator for understanding occupation patterns as one of the factors to be considered in urban planning policies. This study aims to apply these concepts using the box-counting method to calculate the fractal dimension of urban forms from eight Brazilian state capitals by using the Municipal Human Development Index (MHDI) as the selection criteria to find possible relationships that may support future studies and urban planning.


Paulo Cesar da Costa    
Universidade Presbiteriana Mackenzie

Sandra Stump    
Universidade Presbiteriana Mackenzie


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