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 …

We describe a concise representation for adaptive diamond-kite meshes based solely on
the vertices and their stars. The representation is exact because it uses only integers, is …

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 …

利用计算机技术生成花形图案能为设计师提供新的素材与创作灵感, 有效地解决传统设计存在的
低效, 版权等问题. 现有的花形图案生成方法或平铺整个图像空间而难以提取单花形素材 …

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 …

We propose a concise representation for adaptive hexagonal meshes that is based solely
on the faces. We represent each face by its position, type, orientation, and scale. Although …

We automate the process of constructing an origami crease pattern based on certain planar
tilings. In particular, our computer program can take in any 𝑘-uniform tiling and output a …

En la plática, describiré una representación simple y entera para las teselaciones
periódicas con polígonos regulares usando números complejos, actual estado del arte de …

Ladrilhamentos do Plano: Representação Computacional e Visualização Page 1 Minicurso -
Verão 2022 - IMPA Ladrilhamentos do Plano: Representação Computacional e Visualização …