Un travail d’analyse et de modélisation de motifs réticulés est raconté à travers un point de vue personnel, montrant son développement à travers l’apport de nombreuses personnes, dont Yves Couder. La question de savoir comment décrire un motif reticulé, comme les veines d’une feuille de Ficus religiosa, et réaliser un modèle physique le reproduisant, à conduit à l’étude des fissures dans les colloïdes ou l’argile, du plan des rues des villes, du squelette des gorgones et de la variation des motifs des veines de fougères.
A work on analyzing and modeling reticulated pattern is told through a personal point of view, showing its development trough many people inputs, including that of Yves Couder. The question of how to describe a reticulated pattern as Ficus religiosa leaf veins and make a physical model reproducing it, led to study cracks in colloids or clay, city streets plans, gorgon skeletons and variation in fern vein patterns.
Mots clés : Réseaux réticulés, Veination de feuilles, Villes, Fougères, Craquelures, Gorgones
Stephane Douady 1 ; Claire Lagesse 2 ; Mohammad Atashinbar 1, 3 ; Phillipe Bonnin 4 ; Romain Pousse 1 ; Paul Valcke 1
CC-BY 4.0
@article{CRMECA_2020__348_6-7_659_0,
author = {Stephane Douady and Claire Lagesse and Mohammad Atashinbar and Phillipe Bonnin and Romain Pousse and Paul Valcke},
title = {A work on reticulated patterns},
journal = {Comptes Rendus. M\'ecanique},
pages = {659--678},
publisher = {Acad\'emie des sciences, Paris},
volume = {348},
number = {6-7},
year = {2020},
doi = {10.5802/crmeca.47},
language = {en},
}
TY - JOUR AU - Stephane Douady AU - Claire Lagesse AU - Mohammad Atashinbar AU - Phillipe Bonnin AU - Romain Pousse AU - Paul Valcke TI - A work on reticulated patterns JO - Comptes Rendus. Mécanique PY - 2020 SP - 659 EP - 678 VL - 348 IS - 6-7 PB - Académie des sciences, Paris DO - 10.5802/crmeca.47 LA - en ID - CRMECA_2020__348_6-7_659_0 ER -
%0 Journal Article %A Stephane Douady %A Claire Lagesse %A Mohammad Atashinbar %A Phillipe Bonnin %A Romain Pousse %A Paul Valcke %T A work on reticulated patterns %J Comptes Rendus. Mécanique %D 2020 %P 659-678 %V 348 %N 6-7 %I Académie des sciences, Paris %R 10.5802/crmeca.47 %G en %F CRMECA_2020__348_6-7_659_0
Stephane Douady; Claire Lagesse; Mohammad Atashinbar; Phillipe Bonnin; Romain Pousse; Paul Valcke. A work on reticulated patterns. Comptes Rendus. Mécanique, Volume 348 (2020) no. 6-7, pp. 659-678. doi : 10.5802/crmeca.47. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.47/
[1] On the tip-splitting instability of viscous fingers, J. Fluid Mech., Volume 419 (2000), pp. 125-149 | DOI | MR | Zbl
[2] Erosional Development of Streams and their Drainage Basins, Hydrophysical Approach to Quantitative Morphoplogy, Bull. Geological Soc. America, vol. 52, 1945, pp. 275-370
[3] Quantitative analysis of watershed geomorphology, EOS Trans. Am. Geophys. Union, Volume 38 (1957) no. 6, pp. 913-920 | DOI
[4] Pli et forme des Feuilles, Ph. D. Thesis, Université Paris-Diderot - Paris VII (2009) (https://hal.archives-ouvertes.fr/tel-00443868v1)
[5] Constitutive property of the local organization of leaf venation networks, Phys. Rev. E, Volume 65 (2002), 061914 | DOI
[6] Diffusion-limited kinetics in thin-gap electroless deposition, J. Electroanal. Chem., Volume 397 (1995) no. 1–2, pp. 93-104 | DOI
[7] Diffusion-limited growth in bacterial colony formation, Physica A, Volume 168 (1990) no. 1, pp. 498-506 | DOI
[8] Effect of mobility ratio on interaction between the fingers in unstable growth processes, Phys. Rev. E, Volume 96 (2017) (042218)
[9] et al. The leaf venation as formed in a tensorial field, Eur. Phys. J. B, Volume 28 (2002), pp. 135-138 | DOI
[10] Hierarchical crack pattern as formed by successive domain divisions, Phys. Rev. E, Volume 71 (2005) (046214)
[11] Quantifying loopy network architectures, PLoS One, Volume 7 (2012) no. 6 (e37994) | DOI
[12] Four sided domains in hierarchical space dividing patterns, Phys. Rev. Lett., Volume 94 (2005) (054503) | DOI
[13] Characterization of spatial networklike patterns from junction geometry, Phys. Rev. E, Volume 83 (2011) (066106)
[14] Mathematics and morphogenesis of cities: A geometrical approach, Phys. Rev. E, Volume 83 (2011) (036106) | MR
[15] New Theory of Space Syntax http://www.casa.ucl.ac.uk/working_papers/paper75.pdf
[16] Normalising least angle choice in Depthmap—and how it opens up new perspectives on the global and local analysis of city space, J. Space Syntax, Volume 3 (2012) no. 2, pp. 155-193
[17] Topological analysis of urban street networks, Environ. Plan. B, Volume 31 (2004), pp. 151-162 | DOI
[18] The network analysis of urban streets: A dual approach, Phys. A - Stat. Mech. Appl., Volume 369 (2006), pp. 853-866 | DOI
[19] A spatial multi-scale object to analyze road networks, Netw. Sci., Volume 3 (2015), pp. 156-181 | DOI
[20] Archéogéographie des réseaux viaires sud-vend éens : une lecture multiscalaire et diachronique du paysage routier, Les paysages de réseaux, actes du 135e congrès des Sociétés Historiques et Scientifiques, 2012 (Neuchâtel, 6–11 avril 2010), éd. électronique du CTHS
[21] Le plan radio-quadrillé des terroirs non planifiés, Etudes rurales, Volume 167 (2003) no. 3, pp. 187-214 | DOI
[22] Représentation de l’espace urbain et cheminements : l’exemple du chauffeur de taxi, Presses Universitaires de France, Paris, 1970
[23] Mechanism of laminar growth in morphologically convergent leaves and flower petals, Int. J. Plant Sci., Volume 168 (2007) no. 8, pp. 1151-1156 | DOI
[24] Angiosperm leaf vein evolution was physiologically and environmentally transformative, Proc. R. Soc. B, Volume 276 (2009), pp. 1771-1776 | DOI
[25] On leaf-architecture as illuminated by a study of pteridophyta, XXI.— Trans. R. Soc. Edinb., Volume 51 (1917) no. 03, pp. 657-708 | DOI
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