Hexagonal quasiperiodic tilings as decorations of periodic lattices
S Coates - arXiv preprint arXiv:2404.11378, 2024 - arxiv.org
Symmetry sharing facilitates coherent interfaces which can transition from periodic to
quasiperiodic structures. Motivated by the design and construction of such systems, we …
quasiperiodic structures. Motivated by the design and construction of such systems, we …
Obstacle-insensitive eigenfields due to boundary condition–symmetry compatibility
YX Xiao, CT Chan - Physical Review B, 2024 - APS
It is known that the eigenspectra and eigenfields of wave systems are sensitive to boundary
conditions. We show a counterintuitive result that two hard-boundary sound cavities of …
conditions. We show a counterintuitive result that two hard-boundary sound cavities of …
Ising model on the aperiodic Smith hat
Y Okabe, K Niizeki, Y Araki - Journal of Physics A: Mathematical …, 2024 - iopscience.iop.org
Smith et al discovered an aperiodic monotile of 13 sided shape in 2023. It is called the'Smith
hat'and consists of eight kites. We deal with the statistical physics of the lattice of the kites …
hat'and consists of eight kites. We deal with the statistical physics of the lattice of the kites …
Beating the aliasing limit with aperiodic monotile arrays
A Mordret, AG Grushin - arXiv preprint arXiv:2408.16476, 2024 - arxiv.org
Finding optimal wave sampling methods has far-reaching implications in wave physics, such
as seismology, acoustics, and telecommunications. A key challenge is surpassing the …
as seismology, acoustics, and telecommunications. A key challenge is surpassing the …
Planar aperiodic tile sets: from Wang tiles to the Hat and Spectre monotiles
T Bruneau, MF Whittaker - arXiv preprint arXiv:2310.06759, 2023 - arxiv.org
A brief history of planar aperiodic tile sets is presented, starting from the Domino Problem
proposed by Hao Wang in 1961. We provide highlights that led to the discovery of the Taylor …
proposed by Hao Wang in 1961. We provide highlights that led to the discovery of the Taylor …