, * Electronic address: marc.barthelemy@ipht.fr

W. T. Tutte, A census of planar maps, Canadian Journal of Mathematics, vol.15, pp.249-271, 1963.

J. Bouttier, P. D. Francesco, and E. Guitter, Planar maps as labeled mobiles. the electronic journal of combinatorics, vol.11, p.69, 2004.
URL : https://hal.archives-ouvertes.fr/hal-00586658

J. Ambjorn and P. Jonsson, Quantum geometry: a statistical field theory approach, 1997.

Y. Mileyko, H. Edelsbrunner, C. A. Price, and J. S. Weitz, Hierarchical ordering of reticular networks, PLoS One, vol.7, 2012.

M. Barthelemy, Spatial networks, Physics Reports, vol.499, pp.1-101, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00014378

M. Barthelemy, Morphogenesis of Spatial Networks, 2018.

G. Boeing, Planarity and street network representation in urban form analysis, 2018.

P. Haggett, J. Richard, and . Chorley, Network analysis in geography, vol.67, 1969.

F. Xie and D. Levinson, Measuring the structure of road networks, Geographical analysis, vol.39, issue.3, pp.336-356, 2007.

R. Louf and M. Barthelemy, A typology of street patterns, Journal of The Royal Society Interface, vol.11, issue.101, 2014.

E. Katifori and M. O. Magnasco, Quantifying loopy network architectures, PLoS One, vol.7, issue.6, 2012.

. Jm-sobstyl, . Emig, F. Mj-abdolhosseini-qomi, R. Ulm, and . Pellenq, Role of city texture in urban heat islands at nighttime. Physical review letters, vol.120, p.108701, 2018.

J. Van-pelt, B. M. Harry, R. W. Uylings, and . Verwer, Tree asymmetry -a sensitive and practical measure for binary topological trees, Bulletin of Mathematical biology, vol.54, issue.5, pp.759-784, 1992.

F. Aurenhammer, Voronoi diagrams -a survey of a fundamental geometric data structure, ACM Computing Surveys, vol.23, issue.3, pp.345-405, 1991.

J. David, J. Aldous, and . Shun, Connected spatial networks over random points and a route-length statistic, Statistical Science, vol.25, issue.3, pp.275-288, 2010.

C. Gini, Measurement of inequality of incomes, The Economic Journal, vol.31, issue.121, pp.124-126, 1921.

C. Gini, On the measure of concentration with special reference to income and statistics, General Series, issue.208, pp.73-79, 1936.

J. Philip-m-dixon, T. Weiner, R. Mitchell-olds, and . Woodley, Bootstrapping the gini coefficient of inequality, Ecology, pp.1548-1551, 1987.

, Open street map project

G. Carra and M. Barthelemy, A fundamental diagram of urbanization, Environment and Planning B: Urban Analytics and City Science, p.2399808317724445, 2017.

M. Barthelemy, P. Bordin, H. Berestycki, and M. Gribaudi, Self-organization versus top-down planning in the evolution of a city, Scientific reports, vol.3, p.2153, 2013.

, Geohistorical data project. the data freely available