Beautiful Math, Part 5: Colorful Archimedean Tilings from Dynamical Systems
Beautiful Math, Part 5: Colorful Archimedean Tilings from Dynamical Systems
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美丽的数学，第 5 部分：动态系统的彩色阿基米德平铺
DOI：
10.1109/mcg.2015.135
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发表时间：
2015
影响因子：
1.8
通讯作者：
Ouyang PC
中科院分区：
文献类型：
--
作者：
Ouyang PC
瓷砖艺术起源于很早的文明史。几乎每个已知的人类社会都以这样或那样的形式使用过瓷砖。特别是，仅使用规则多边形的平铺具有极大的视觉吸引力。装饰规则瓷砖具有连续、对称的图案，广泛应用于马赛克、人行道、砖墙等装饰领域。在科学上，这些拼图为合成有机化学提供了灵感。基于以前的CG&A“美丽数学”文章，作者提出了一种在阿基米德瓷砖(1-均匀瓷砖)上创建彩色图案的不变映射方法。所得到的图案同时具有整体晶体对称性和局部环状或二面体对称性。
The art of tiling originated very early in the history of civilization. Almost every known human society has made use of tilings in some form or another. In particular, tilings using only regular polygons have great visual appeal. Decorated regular tilings with continuous and symmetrical patterns were widely used in decoration field, such as mosaics, pavements, and brick walls. In science, these tilings provide inspiration for synthetic organic chemistry. Building on previous CG&A “Beautiful Math” articles, the authors propose an invariant mapping method to create colorful patterns on Archimedean tilings (1-uniform tilings). The resulting patterns simultaneously have global crystallographic symmetry and local cyclic or dihedral symmetry.