Publications

Published:

• J. Kari and V. Lutfalla Planar Rosa: a family of quasiperiodic substitution discrete plane tilings with 2n-fold rotational symmetry (arXiv:2203.08856), Natural Computing, 2023
• J. Kari and V. Lutfalla Substitution discrete plane tilings with 2n-fold rotational symmetry for odd n (arXiv:2010.01879), Discrete & Computational Geometry, 2023
• V. Lutfalla, An Effective Construction for Cut-And-Project Rhombus Tilings with Global n-Fold Rotational Symmetry, AUTOMATA 2021
• B. Hellouin de Menibus, V. Lutfalla and C. Noûs, The Domino problem is undecidable on every rhombus subshift, Developments in Language Theory 2023
• Th. Fernique and V. Lutfalla, Geometrical Penrose tilings are characterized by their 1-atlas, Theoretical Computer Science, 2024
• V. Lutfalla and K. Perrot, Polygonal corona limit on multigrid dual tilings (arXiv:2402.01257) Natural Computing, 2025
• A. Gajardo, V. Lutfalla and M. Rao, Ants on the Highway (arXiv:2409.10124) Natural Computing, 2025

Preprints:

• S. Esnay, G. Theyssier and V. Lutfalla, Bootstrap percolation on rhombus tilings,
• B. Hellouin de Menibus, V. Lutfalla and P. Vanier, Decision problems on geometric tilings,
• T. Coulbois, A. Gajardo, P. Guillon and V. Lutfalla, Aperiodic monotiles : from geometry to groups
• T. Carette, M. de Visme, V. Ducros, V. Lutfalla and E. Moutot, Complete compositional syntax for finite transducers on finite and bi-infinite words
• V. Lutfalla, Sideways on the Highways

Others:

• V. Lutfalla, Substitution discrete planes, Phd thesis
• V. Lutfalla, Geometrical tilings : distance, topology, compactness and completeness, (clarification notice)

Software:

• JS-Sandpiles et JS-Perco, simulation of Abelian sandpiles and bootstrap percolation on tilings (git)
  contributions to the project led by Kévin Perrot, primarily in the perco branch,
• GL_ant: simulation of generalized Langton's ants (git, stable),
• n-fold multigrid: an algorithm to generate multigrid dual tilings