Zobrazeno 1 - 10
of 125
pro vyhledávání: '"FERNIQUE, THOMAS"'
Publikováno v:
EPTCS 403, 2024, pp. 92-95
We introduce an elementary transformation called flips on tilings by squares and triangles and conjecture that it connects any two tilings of the same region of the Euclidean plane.
Comment: In Proceedings GASCom 2024, arXiv:2406.14588
Comment: In Proceedings GASCom 2024, arXiv:2406.14588
Externí odkaz:
http://arxiv.org/abs/2406.16402
We provide a complete description of the edge-to-edge tilings with a regular triangle and a shield-shaped hexagon with no right angle. The case of a hexagon with a right angle is also briefly discussed.
Externí odkaz:
http://arxiv.org/abs/2305.17737
Autor:
Fernique, Thomas
Publikováno v:
Computational Geometry 124-125, 2025, 102134
A packing of disks in the plane is a set of disks with disjoint interiors. This paper is a survey of some open questions about such packings. It is organized into five themes: compacity, conjugacy, density, uniformity and computability.
Comment:
Comment:
Externí odkaz:
http://arxiv.org/abs/2305.12919
Autor:
Fernique, Thomas, Lutfalla, Victor
Rhombus Penrose tilings are tilings of the plane by two decorated rhombi such that the decoration match at the junction between two tiles (like in a jigsaw puzzle). In dynamical terms, they form a tiling space of finite type. If we remove the decorat
Externí odkaz:
http://arxiv.org/abs/2211.08239
Autor:
Fernique, Thomas, Pchelina, Daria
We consider ternary disc packings of the plane, i.e. the packings using discs of three different radii. Packings in which each ''hole'' is bounded by three pairwise tangent discs are called triangulated. There are 164 pairs $(r,s)$, $1{>}r{>}s$, allo
Externí odkaz:
http://arxiv.org/abs/2211.02905
Autor:
Fernique, Thomas, Porrier, Carole
Publikováno v:
Discrete Mathematics & Theoretical Computer Science, vol. 26:3, Combinatorics (November 4, 2024) dmtcs:10764
Ammann bars are formed by segments (decorations) on the tiles of a tiling such that forming straight lines with them while tiling forces non-periodicity. Only a few cases are known, starting with Robert Ammann's observations on Penrose tiles, but the
Externí odkaz:
http://arxiv.org/abs/2205.13973
Autor:
FERNIQUE, THOMAS1 fernique@hse.ru, SIZOVA, OLGA MIKHAILOVNA2 olstet@mail.ru
Publikováno v:
Transactions on Combinatorics. Mar2025, Vol. 14 Issue 1, p11-18. 8p.
Autor:
Fernique, Thomas, Lutfalla, Victor
Publikováno v:
In Theoretical Computer Science 29 December 2024 1022
Autor:
Fernique, Thomas
Publikováno v:
In Computational Geometry: Theory and Applications January-February 2025 124-125
Autor:
Fernique, Thomas, Galanov, Ilya
Self-assembly is the process in which the components of a system, whether molecules, polymers, or macroscopic particles, are organized into ordered structures as a result of local interactions between the components themselves, without exterior guida
Externí odkaz:
http://arxiv.org/abs/2201.00789