M. Baake and U. Grimm, Aperiodic order of Encyclopedia of Mathematics and its Applications A mathematical invitation

M. Baake, P. Kramer, M. Schlottmann, and D. Zeidler, PLANAR PATTERNS WITH FIVEFOLD SYMMETRY AS SECTIONS OF PERIODIC STRUCTURES IN 4-SPACE, International Journal of Modern Physics B, vol.04, issue.15n16, pp.4-15, 1990.
DOI : 10.1142/S0217979290001054

F. P. Beenker, Algebraic theory of non-periodic tilings of the plane by two simple building blocks: a square and a rhombus, 1982.

D. Frettlöh, Inflationäre Pflasterungen der Ebene mit D 2m+1 -Symmetrie und minimaler Musterfamilie, 1998.

D. Frettlöh and E. Harriss, Parallelogram Tilings, Worms, and Finite Orientations, Discrete & Computational Geometry, vol.53, issue.3, pp.531-539, 2013.
DOI : 10.1007/s00454-012-9478-5

D. Frettlöh and E. O. Harriss, The tilings encyclopedia. Accessed, pp.2014-2022

F. Gähler, E. E. Kwan, and G. R. Maloney, A Computer Search for Planar Substitution Tilings with $$n$$ n -Fold Rotational Symmetry, Discrete & Computational Geometry, vol.17, issue.3, pp.445-465, 2015.
DOI : 10.1007/s00454-014-9659-5

J. and G. Escudero, Random tilings of spherical 3-manifolds, Journal of Geometry and Physics, vol.58, issue.11, pp.1451-1464, 2008.
DOI : 10.1016/j.geomphys.2008.05.015

J. and G. Escudero, Randomness and topological invariants in pentagonal tiling spaces. Discrete Dyn, Nat. Soc, vol.23, 2011.
DOI : 10.1155/2011/946913
URL : http://doi.org/10.1155/2011/946913

E. O. Harriss, Non-Periodic Rhomb Substitution Tilings that Admit Order n Rotational Symmetry, Discrete & Computational Geometry, vol.34, issue.3, pp.523-536, 2005.
DOI : 10.1007/s00454-005-1175-1

S. Kannan and D. Soroker, Tiling polygons with parallelograms, Discrete & Computational Geometry, vol.97, issue.8, pp.175-188, 1992.
DOI : 10.1007/BF02187834
URL : http://www.digizeitschriften.de/download/PPN362609810_0007/PPN362609810_0007___log20.pdf

R. Kenyon, Tiling a polygon with parallelograms, Algorithmica, vol.12, issue.4, pp.382-397, 1993.
DOI : 10.1007/BF01228510

F. Lançon and L. Billard, Two-dimensional system with a quasi-crystalline ground state, Journal de Physique, vol.49, issue.2, pp.249-256, 1988.
DOI : 10.1051/jphys:01988004902024900

J. Mikhael, M. Schmiedeberg, S. Rausch, J. Roth, H. Stark et al., Proliferation of anomalous symmetries in colloidal monolayers subjected to quasiperiodic light fields, Proceedings of the National Academy of Sciences, pp.7214-7218, 2010.
DOI : 10.1073/pnas.0913051107

K. Nischke and L. Danzer, A construction of inflation rules based onn-fold symmetry, Discrete & Computational Geometry, vol.26, issue.2, pp.221-236, 1996.
DOI : 10.1007/BF02717732

R. Penrose, The rôle of aesthetics in pure and applied mathematical research. The Institute of Mathematics and its Applications Bulletin, pp.266-271, 1974.

M. Rissanen, Sub rosa, a system of non-periodic rhombic substitution tilings

F. Ruskey and A. Williams, The coolest way to generate combinations, Discrete Mathematics, vol.309, issue.17, pp.5305-5320, 2009.
DOI : 10.1016/j.disc.2007.11.048

D. Shechtman, I. Blech, D. Gratias, and J. W. Cahn, Metallic Phase with Long-Range Orientational Order and No Translational Symmetry, Physical Review Letters, vol.53, issue.20, pp.1951-1953, 1984.
DOI : 10.1103/PhysRevLett.53.1951

B. Solomyak, Dynamics of self-similar tilings. Ergodic Theory Dynam, Systems, vol.17, issue.3, pp.695-738, 1997.

Y. Watanabe, T. Soma, and M. Ito, A new quasiperiodic tiling with dodecagonal symmetry, Acta Crystallographica Section A Foundations of Crystallography, vol.51, issue.6, pp.936-942, 1995.
DOI : 10.1107/S0108767395009160

E. J. Whittaker and R. M. Whittaker, -dimensional lattices, Acta Crystallographica Section A Foundations of Crystallography, vol.44, issue.2, pp.105-112, 1988.
DOI : 10.1107/S0108767387009279
URL : https://hal.archives-ouvertes.fr/hal-00533035

A. Williams, Loopless Generation of Multiset Permutations using a Constant Number of Variables by Prefix Shifts, Proceedings of the Twentieth Annual ACM-SIAM Symposium on Discrete Algorithms , SODA '09, pp.987-996, 2009.
DOI : 10.1137/1.9781611973068.107