A. D. Aleksandrov and V. A. Zalgaller, Intrinsic geometry of surfaces. Translated from the Russian by, J. M. Danskin. Translations of Mathematical Monographs, vol.15, 1967.

I. Y. Bakelman, Chebyshev nets in manifolds of bounded curvature, Proc. Steklov Inst. Math, pp.124-129, 1965.

O. Baverel, J. Caron, F. Tayeb, D. Peloux, and L. , Forum for the Solidays??? Festival in Paris, Structural Engineering International, vol.22, issue.3, pp.408-414, 2012.
DOI : 10.2749/101686612X13363869853572

URL : https://hal.archives-ouvertes.fr/hal-01157370

L. Bianchi, Lezione di geometria differenziale, 19021903.

A. Bobenko and U. Pinkall, Discrete surfaces with constant negative Gaussian curvature and the Hirota equation, Journal of Differential Geometry, vol.43, issue.3, pp.527-611, 1996.
DOI : 10.4310/jdg/1214458324

A. I. Bobenko and C. Klein, Computational approach to Riemann surfaces, 2011.
DOI : 10.1007/978-3-642-17413-1

A. I. Bobenko and U. Pinkall, Discretization of surfaces and integrable systems. Oxford lecture series in mathematics and its applications, pp.3-58, 1999.

A. I. Bobenko and Y. B. Suris, Discrete differential geometry, volume 98 of Graduate Studies in Mathematics, 2008.

M. Bonk and U. Lang, Bi-Lipschitz parameterization of surfaces, Mathematische Annalen, vol.77, issue.1, pp.135-169, 2003.
DOI : 10.1215/S0012-7094-95-07708-4

L. Bouhaya, O. Baverel, C. , and J. , Mapping two-way continuous elastic grid on an imposed surface: Application to grid shells, Symposium of the International Association for Shell and Spatial Structures (50th. 2009. Valencia). Evolution and Trends in Design, Analysis and Construction of Shell and Spatial Structures: Proceedings. Editorial Universitat Politècnica de València, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00531430

L. Bouhaya, O. Baverel, C. , and J. , Optimization of gridshell bar orientation using a simpli?ed genetic approach. Structural and Multidisciplinary Optimization, pp.839-848, 2014.

Y. D. Burago, S. V. Ivanov, and S. G. Malev, Remarks on Chebyshev coordinates, Journal of Mathematical Sciences, vol.347, issue.6, pp.3295-3308, 0195.
DOI : 10.1007/s10958-007-0429-2

U. Dierkes, S. Hildebrandt, F. Sauvigny, and . Jakob, Minimal surfaces, of Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences, 2010.

D. Carmo and M. P. , Differential geometry of curves and surfaces, N.J, 1976.

C. Douthe, Etude de structures élancées précontraintes en matériaux composites, application à la comception des gridshells, 2007.

C. Douthe, O. Baverel, C. , and J. , Form-?nding of a grid shell in composite materials, J. Int. Assoc. Shells Spatial Struct, vol.150, pp.53-62, 2006.

D. Peloux, L. Caron, J. Tayeb, F. Baverel, and O. , The ephemeral cathedral of Créteil : a 350m2 lightweight structure made of a GFRP composite gridshell, 19èmes Journées Nationales sur les Composites, Proceedings of the ?19èmes Journées Nationales sur les Composites?, 2015.

D. Peloux, L. Tayeb, F. Baverel, O. , C. et al., Faith can also move composite gridshells Beyond the Limits of Man, IASS Symposium 2013 Proceedings of the International Association for Shell and Spatial Structures Symposium 2013 International Association for Shell and Spatial Structures, 2013.

D. Peloux, L. Tayeb, F. Baverel, O. , C. et al., Construction of a Large Composite Gridshell Structure: A Lightweight Structure Made with Pultruded Glass Fibre Reinforced Polymer Tubes, Structural Engineering International, vol.26, issue.2, pp.160-167, 2016.
DOI : 10.1002/9780470121429

URL : https://hal.archives-ouvertes.fr/hal-01338072

S. Gallot, D. Hulin, and J. Lafontaine, Riemannian geometry, 1990.
URL : https://hal.archives-ouvertes.fr/hal-00002870

A. Garg, A. Sageman-furnas, B. Deng, Y. Yue, E. Grinspun et al., Wire mesh design, ACM Transactions on Graphics, vol.33, issue.4, pp.661-673, 2014.
DOI : 10.1016/S1359-835X(97)00053-5

É. Ghys, La coupe des vêtements selon chebyshev. http://podcast.grenet.fr/ episode/%C2%AB-la-coupe-des-vetements-selon-tchebychev-%C2%BB-par-etienne-ghys, 2011.

É. Ghys, Sur la coupe des v??tements. Variation autour d'un th??me de Tchebychev, L???Enseignement Math??matique, vol.57, issue.1, pp.165-208, 2011.
DOI : 10.4171/LEM/57-1-8

W. Goldman, Geometric structures on manifolds, 2010.

P. Hartman, Ordinary differential equations, 1964.

J. N. Hazzidakis, Ueber einige Eigenschaften der Flächen mit constantem Krümmungsmaass, J. Reine Angew. Math, vol.88, pp.68-73, 1880.

R. Hirota, Nonlinear Partial Difference Equations III; Discrete Sine-Gordon Equation, Journal of the Physical Society of Japan, vol.43, issue.6, pp.2079-2086, 1977.
DOI : 10.1143/JPSJ.43.2079

T. Hoffmann, Discrete Amsler surfaces and a discrete Painlevé III equation, Discrete integrable geometry and physics, pp.83-96, 1996.

F. Kälberer, M. Nieser, and K. Polthier, QuadCover - Surface Parameterization using Branched Coverings, Computer Graphics Forum, vol.26, issue.3, pp.375-384, 2007.
DOI : 10.1145/1183287.1183297

L. Kharevych, B. Springborn, and P. Schröder, Cone singularities to the rescue: Mitigating area distorsion in discrete conformal, ACM SIGGRAPH/Eurographics Symposium on Geometry Processing, 2005.

L. Kharevych, B. Springborn, and P. Schröder, Discrete conformal mappings via circle patterns, ACM Transactions on Graphics, vol.25, issue.2, pp.412-438, 2006.
DOI : 10.1145/1138450.1138461

L. Hernández, E. Gengnagel, C. Sechelmann, S. , R. et al., On the Materiality and Structural Behaviour of Highly-Elastic Gridshell Structures, Computational Design Modelling, pp.123-135, 2011.
DOI : 10.1007/978-3-642-23435-4_15

L. Hernandez, E. Sechelmann, S. Rörig, T. Gengnagel, and C. , Topology optimisation of regular and irregular elastic gridshells by means of a non-linear variational method, Proc. Advances in Architectural Geometry, pp.147-160, 2012.

J. M. Lee, Introduction to topological manifolds, Graduate Texts in Mathematics, vol.202, 2011.
DOI : 10.1007/978-1-4419-7940-7

Y. Masson and L. Monasse, Existence of global Chebyshev nets on surfaces of absolute Gaussian curvature less than 2?, J. Geom, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01233113

M. Nieser and K. Polthier, Parameterizing Singularities of Positive Integral Index, IMA International Conference on Mathematics of Surfaces, pp.265-277, 2009.
DOI : 10.1007/978-3-662-04745-3

U. Pinkall, Designing Cylinders with Constant Negative Curvature, Discrete differential geometry, pp.57-66, 2008.
DOI : 10.1007/978-3-7643-8621-4_3

N. Ray, W. C. Li, B. Lévy, A. Sheffer, A. et al., Periodic global parameterization, ACM Transactions on Graphics, vol.25, issue.4, pp.1460-1485, 2006.
DOI : 10.1145/1183287.1183297

URL : https://hal.archives-ouvertes.fr/inria-00104853

S. L. Samelson and W. P. Dayawansa, On the existence of global Tchebychev nets, Transactions of the American Mathematical Society, vol.347, issue.2, pp.651-660, 1995.
DOI : 10.1090/S0002-9947-1995-1233983-3

J. Stoker, Differential Geometry, volume XX of Pure and Applied Mathematics, 1969.

M. Troyanov, Les surfaces euclidiennes à singularités coniques, Ens. Math, vol.32, pp.79-94, 1986.

M. Wolff, Travaux dirigés de master 2 : Groupes fuchsiens et représentation de groupes de surfaces, 2012.