An integer representation for periodic tilings of the plane by regular polygons
We describe a representation for periodic tilings of the plane by regular polygons. Our
approach is to represent explicitly a small subset of seed vertices from which we …
approach is to represent explicitly a small subset of seed vertices from which we …
Symmetrization of quasi-regular patterns with periodic tilting of regular polygons
Z Yin, Y Jin, Z Fang, Y Zhang, H Zhang, J Zhou… - Computational Visual …, 2024 - Springer
Computer-generated aesthetic patterns are widely used as design materials in various
fields. The most common methods use fractals or dynamical systems as basic tools to create …
fields. The most common methods use fractals or dynamical systems as basic tools to create …
Edge coloring lattice graphs
J Kattemölle - arXiv preprint arXiv:2402.08752, 2024 - arxiv.org
We develop the theory of the edge coloring of infinite lattice graphs, proving a necessary
and sufficient condition for a proper edge coloring of a patch of a lattice graph to induce a …
and sufficient condition for a proper edge coloring of a patch of a lattice graph to induce a …
Acquiring periodic tilings of regular polygons from images
JE Soto Sánchez, A Medeiros e Sá… - The Visual Computer, 2019 - Springer
We describe how we have acquired geometrical models of many periodic tilings of regular
polygons from two large collections of images. These models are based on a simplification …
polygons from two large collections of images. These models are based on a simplification …
On periodic tilings with regular polygons
JES Sánchez, A Medeiros… - Anais Estendidos do …, 2021 - sol.sbc.org.br
The thesis describes a simple integer-based computational representation for periodic
tilings of regular polygons using complex numbers, which is now the state of the art for these …
tilings of regular polygons using complex numbers, which is now the state of the art for these …