Preprints
Journal articles
- with O. Sizova, Shield tilings, Transactions on Combinatorics 14 (2025).
- Packing unequal disks in the Euclidean plane, Computational Geometry: Theory and Applications 124 (2025).
- with V. Lutfalla, Geometrical Penrose tilings are characterized by their 1-atlas, Theoretical Computer Science 1022 (2024).
- with C. Porrier, Ammann Bars for Octagonal Tilings, Discrete Mathematics and Theoretical Computer Science 26 (2024).
- Density of binary disc packings: lower and upper bounds, Experimental mathematics 33 (2024), pp. 235--246. (code).
- with D. Pchelina, Density of triangulated ternary disc packings, Computational Geometry: Theory and Applications 115 (2023).
- with C. Chinaux-Chaix, N. Marchenko and S. Tricard, Do chemists control plane packing, i.e. two-dimensional self-assembly, at all scales?, New Journal of Chemistry 47 (2023).
- Density of binary disc packings: playing with stoichiometry, Journal of Combinatorial Theory - Series A 194 (2023) (code).
- with N. Bédaride, Density of binary disc packings: the nine compact packings, Discrete and Computational Geometry 67 (2022), pp. 787--810. (code)
- with A. Hashemi and O. Sizova, Compact packings of the plane with three sizes of discs, Discrete and Computational Geometry 66 (2021), pp. 613--635. (code)
- Compact packings of space with two sizes of spheres, Discrete and Computational Geometry 65 (2021), pp. 1287--1295.
- with N. Bédaride, Canonical projection tilings defined by patterns, Geometriae Dedicata 208 (2020) pp. 157--175.
- with M. Sablik, Weak colored local rules for planar tilings, Ergodic Theory and Dynamical Systems 39 (2019), pp. 3322--3346.
- with N. Bédaride, Weak local rules for planar octagonal tilings, Israel Journal of Mathematics 222 (2017), pp. 63--89.
- with N. Bédaride, No weak local rules for 4p-fold tilings, Discrete and Computational Geometry 54 (2015), pp. 980--992.
- with N. Bédaride, When periodicities enforce aperiodicity, Communications in Mathematical Physics 335 (2015), pp. 1099--1120.
- with O. Bodini, M. Rao and E. Rémila, Distances on rhombus tilings, Theoretical Computer Science 412 (2011), pp. 4787--4794 (a note by David Eppstein)
- with V. Berthé, Brun expansions of stepped surfaces, Discrete Mathematics 311 (2011), pp. 521--543.
- Generation and recognition of digital planes using multi-dimensional continued fractions, Pattern Recognition 42 (2009), pp. 2229--2238.
- with O. Bodini and E. Rémila, A Characterization of flip-accessibility for rhombus tilings of the whole plane, Information and Computation 206 (2008), pp. 1065--1073.
- with P. Arnoux, V. Berthé and D. Jamet, Functional stepped surfaces, flips and generalized substitutions, Theoretical Computer Science 380 (2007), pp. 251--265.
- Local rule substitutions and stepped surfaces, Theoretical Computer Science 380 (2007), pp. 317--329.
- Multidimensional Sturmian sequences and generalized substitutions, International Journal of Foundations of Computer Science 17 (2006), pp. 575--600.
Conferences proceedings
- with O. Sizova, Square-Triangle Tilings: Lift & Flip to Sample?, GASCom, June 24-28, 2024, Bordeaux (slides)
- with D. Pchelina, When ternary triangulated disc packings are densest: examples, counter-examples and techniques, SoCG 2023, June 12-15, 2023, Dallas, Texas.
- with C. Porrier, A General approach to Ammann bars for aperiodic tilings, LATIN 2022, November 7-11, 2022, Guanajuato, Mexico (code).
- with I. Galanov, Local growth of planar rhombus tilings, Journal of Physics: Conference Series 1458 (2020), p. 012001. (proceedings of 14th International Conference on Quasicrystals)
- with A. Hashemi and O. Sizova, Compact packings of the plane with three sizes of discs, DGCI 2019, march 25-29, 2019, Paris, France (slides)
- with V. Berthé and M. Sablik, Effective S-adic symbolic dynamical systems, CiE 2016, june 27-july 1, 2016, Paris, France (slides)
- with N. Bédaride, The Ammann-Beenker tilings revisited, in Aperiodic Crystals S. Schmid, R. L. Withers, R. Lifshitz eds. (2013), pp. 59--65.
- with M. Sablik, Local rules for computable planar tilings, Automata &
JAC 2012, september 19-21, 2012, Bastia, France (slides)
- with N. Bédaride, The Ammann-Beenker Tilings Revisited, Aperiodic'12, september 2-6, 2012, Cairns, Australia (slides)
- with N. Ollinger, Combinatorial substitutions and sofic tilings, JAC'10, december 13-15, 2010, Turku, Finland (slides)
- with D. Regnault, Stochastic flips on dimer tilings, AofA'10, june 28-july 2, 2010, Vienna, Austria
- with O. Bodini and D. Regnault, Stochastic flips on two-letter words, ANALCO'10, january 16, 2010, Austin, Etats-Unis (slides)
- with O. Bodini and E. Rémila, Distances on lozenge tilings, DGCI'09, september 30-october 2, 2009, Montréal, Canada
- with O. Bodini and D. Regnault, Crystallization by stochastic flips, Journal of Physics: Conference Series 226 (2010), p. 012022. (proceedings of 6th International Conference on Aperiodic Crystals)
- Generation and recognition of digital planes using multi-dimensional continued fractions, DGCI'08, april 16-18, 2008, Lyon, France (slides)
- with V. Berthé Brun expansions, substitutions and discrete geometry, WORDS'07, september 17-21, 2007, Marseille, France
- with O. Bodini and E. Rémila, Characterizations of flip-accessibility for domino tilings of the whole plane, FPSAC'07, july 2-6, 2007, Tianjin, China (poster)
- with O. Bodini and E. Rémila, A Characterization of flip-accessibility for rhombus tilings of the whole plane, LATA'07, march 29-april 4, 2007, Tarragona, Spain (slides)
- with O. Bodini, Planar dimer tilings, CSR'06, june 8-12, 2006, Saint-Petersbourg, Russia (slides)
- Substitutions on multidimensional sequences, WORDS'05, september 13-17, 2005, Montréal, Canada (slides)
- Bidimensional Sturmian sequences and substitutions, DLT'05, july 4-8, 2005, Palermo, Italy (slides)
Others
- It's the demography, stupid!, note sur la mortalité en 2020.
Quelques visuels faits sur le sujet.
- Empilements de disques triangulés, gazette du GDR-IM, juillet 2021.
- A binary triangulated circle packing, artwork for the mathematical art conference Bridges.
- Twin arctic circles, artwork for the mathematical art conference Bridges.
- Dominos apériodiques, Images des Mathématiques, CNRS, mars 2018.
- Flips et puzzles, Habilitation Thesis, november 2016 (slides)
- with G. Octavia, 12 belles histoires de pavages, éphéméride 2016 de la Fondation Sciences Mathématiques de Paris
- with E. Poloskin, Un parquet de Penrose, Images des Mathématiques, CNRS, janvier 2016.
- with A. Hashemi (eds), Tilings and Tessellations, lectures notes for a math school in Isfahan, Iran.
- Transfert d'information dans les quasicristaux, gazette de la recherche de l'institut Galilée.
- Pavages, fractions continues et géométrie discrète, thèse, décembre 2007 (slides)
- Pavages d'une polycellule, stages de DEA, juin 2004 (slides)
- Evaluer et aménager les réseaux de transport, stage de maîtrise, mars 2003
- Métriser les pavages, stage de licence, juillet 2003