Flip invariance for domino tilings of three-dimensional regions with two floors

DOI10.1007/s00454-015-9685-yzbMath1321.05041arXiv1404.6509OpenAlexW3103373810MaRDI QIDQ2351026

Nicolau C. Saldanha, Pedro H. Milet

Publication date: 26 June 2015

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.6509

zbMATH Keywords

tilingslocal movesdimersthree-dimensional regiondomino bricks

Mathematics Subject Classification ID

Combinatorial aspects of tessellation and tiling problems (05B45) Tilings in (n) dimensions (aspects of discrete geometry) (52C22)

Related Items

On the connectivity of spaces of three-dimensional domino tilings, Domino tilings of cylinders: the domino group and connected components under flips, Gluing and cutting cube tiling codes in dimension six, Domino tilings and flips in dimensions 4 and higher, Domino tilings of cylinders: connected components under flips and normal distribution of the twist, Binomial ideals of domino tilings

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The complexity of generalized domino tilings
• Alternating-sign matrices and domino tilings. II
• Planar dimers and Harnack curves
• Tiling with polyominoes and combinatorial group theory
• Local statistics for random domino tilings of the Aztec diamond
• Spaces of domino tilings
• An improved upper bound for the \(3\)-dimensional dimer problem
• Dimers and amoebae
• Theory of computation of multidimensional entropy with an application to the monomer-dimer problem
• The statistics of dimers on a lattice
• Conway's Tiling Groups