Tilings with Nonflat Squares: A Characterization.

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2022-01-01 Epub Date: 2022-03-24 DOI:10.1007/s00032-022-00350-5

Manuel Friedrich, Manuel Seitz, Ulisse Stefanelli

引用次数: 0

Abstract

Inspired by the modelization of 2D materials systems, we characterize arrangements of identical nonflat squares in 3D. We prove that the fine geometry of such arrangements is completely characterized in terms of patterns of mutual orientations of the squares and that these patterns are periodic and one-dimensional. In contrast to the flat case, the nonflatness of the tiles gives rise to nontrivial geometries, with configurations bending, wrinkling, or even rolling up in one direction.

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非扁平正方形平顶：特征描述

受二维材料系统建模的启发，我们对三维中相同的非平面正方形排列进行了描述。我们证明，这种排列的精细几何形状完全可以用方块的相互方向模式来描述，而且这些模式是周期性的、一维的。与平面情况不同的是，瓷砖的非平面性导致了非复杂的几何形状，其构型在一个方向上弯曲、起皱甚至卷起。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.