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Mathematics and Morphogenesis of the City, A Geometrical approach, arXiv
 









Excerpt: Cities can be compared to living organisms. They are out of
equilibrium, opened systems that never stop developing and sometimes die. The
city’s growth is guided by needs in local distribution and in communication
among its parts. The local geography can be compared to a shell constraining its
development. In brief, a city’s current layout is a step in a running
morphogenesis process. Thus cities display a huge diversity of shapes and none
of traditional models from random graphs, complex networks theory or stochastic
geometry takes into account geometrical, functional and dynamical aspects of a
city in the same framework. We present here a global mathematical model
dedicated to cities that permits describing, manipulating and explaining
cities’ overall shape and layout of their street systems. (...)
Source: Mathematics and Morphogenesis of the City, A Geometrical approach[
http://arXiv.org/abs/1010.1762 ], Thomas Courtat, Catherine Gloaguen, Stephane
Douady, arXiv:1010.1762, 2010/10/08

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