Local algorithm for constructing the derived tilings of two-dimensional torus
VG Zhuravlev�- Zapiski Nauchnykh Seminarov POMI, 2019 - mathnet.ru
VG Zhuravlev, “Local algorithm for constructing the derived tilings of two-dimensional torus”,
Algebra and number theory. Part 2, Zap. Nauchn. Sem. POMI, 479, POMI, St. Petersburg, 2019�…
Algebra and number theory. Part 2, Zap. Nauchn. Sem. POMI, 479, POMI, St. Petersburg, 2019�…
Dense coverage of the computational domain by hexagonal tiles
PI Sobolevsky, SV Bakhanovich�- Doklady of the National�…, 2018 - doklady.belnauka.by
The hexagonal tiling in application to algorithms with a two-dimensional computational
domain is investigated. A formal definition of a parametrized hexagonal tiling is proposed�…
domain is investigated. A formal definition of a parametrized hexagonal tiling is proposed�…
A tiling algorithm for the aperiodic monotile Tile (1, 1)
HU Voss�- arXiv preprint arXiv:2406.05236, 2024 - arxiv.org
An algorithm is provided to tile the plane with the aperiodic monotile Tile (1, 1) recently
discovered by Smith et al.(2023). Their geometric construction guidelines are expanded into�…
discovered by Smith et al.(2023). Their geometric construction guidelines are expanded into�…
Induced bounded remainder sets
V Zhuravlev�- St. Petersburg Mathematical Journal, 2017 - ams.org
The induced two-dimensional Rauzy tilings are generalized to tiling of the tori $\mathbb {T}^
D=\mathbb {R}^ D/\mathbb {Z}^ D $ of arbitrary dimension $ D $. For that, a technique of�…
D=\mathbb {R}^ D/\mathbb {Z}^ D $ of arbitrary dimension $ D $. For that, a technique of�…
Monohedral periodic tilings of the plane with any number of aspects
K Vermissen�- Discrete mathematics, 1991 - dl.acm.org
Monohedral periodic tilings of the plane with any number of aspects | Discrete Mathematics skip to
main content ACM Digital Library home ACM home Google, Inc. (search) Advanced Search Browse�…
main content ACM Digital Library home ACM home Google, Inc. (search) Advanced Search Browse�…
Periodic Delone tilings
NP Dolbilin, DH Huson�- Periodica Mathematica Hungarica, 1997 - Springer
PERIODIC DELONE TILIN GS Page 1 Periodica Mathematica Hangarica Vol. 34 (1-2), (1997),
pp. 57474 PERIODIC DELONE TILIN GS NIKOLAI P. DOLBILIN (Moscow) DANIEL H. Husom�…
pp. 57474 PERIODIC DELONE TILIN GS NIKOLAI P. DOLBILIN (Moscow) DANIEL H. Husom�…
[HTML][HTML] An optimal algorithm to generate tilings
S Desreux, E R�mila�- Journal of Discrete Algorithms, 2006 - Elsevier
We produce an algorithm that is optimal with respect to both space and execution time to
generate all the lozenge (or domino) tilings of a hole-free, general-shape domain given as�…
generate all the lozenge (or domino) tilings of a hole-free, general-shape domain given as�…
Two-dimensional approximations by the method of dividing toric tilings
VG Zhuravlev�- Journal of Mathematical Sciences, 2016 - go.gale.com
An infinite sequence of dividing two-dimensional toric tilings is constructed by the
differentiation method. The karyons of the tilings have radii tending to zero and contain�…
differentiation method. The karyons of the tilings have radii tending to zero and contain�…
Hard and easy instances of L-tromino tilings
In this work we study tilings of regions in the square lattice with L-shaped trominoes.
Deciding the existence of a tiling with L-trominoes for an arbitrary region in general is NP�…
Deciding the existence of a tiling with L-trominoes for an arbitrary region in general is NP�…
The estimation of the number of lattice tilings of a plane by a given area polyomino
AV Shutov, EV Kolomeykina�- Modeling and analysis of information�…, 2013 - mais-journal.ru
We study a problem of a number of lattice plane tilings by given area polyominoes. A
polyomino is a connected plane geometric figure formed by joining edge to edge a finite�…
polyomino is a connected plane geometric figure formed by joining edge to edge a finite�…