关于斐波那契平铺及其现代意义

IF 2.3 4区 化学 Q3 CHEMISTRY, MULTIDISCIPLINARY
Michael Baake, Franz Gähler, Jan Mazáč
{"title":"关于斐波那契平铺及其现代意义","authors":"Michael Baake,&nbsp;Franz Gähler,&nbsp;Jan Mazáč","doi":"10.1002/ijch.202300155","DOIUrl":null,"url":null,"abstract":"<p>In the last 30 years, the mathematical theory of aperiodic order has developed enormously. Many new tilings and properties have been discovered, few of which are covered or anticipated by the early papers and books. Here, we start from the well-known Fibonacci chain to explain some of them, with pointers to various generalisations as well as to higher-dimensional phenomena and results. This should give some entry points to the modern literature on the subject.</p>","PeriodicalId":14686,"journal":{"name":"Israel Journal of Chemistry","volume":"64 10-11","pages":""},"PeriodicalIF":2.3000,"publicationDate":"2024-04-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/ijch.202300155","citationCount":"0","resultStr":"{\"title\":\"On the Fibonacci Tiling and its Modern Ramifications\",\"authors\":\"Michael Baake,&nbsp;Franz Gähler,&nbsp;Jan Mazáč\",\"doi\":\"10.1002/ijch.202300155\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>In the last 30 years, the mathematical theory of aperiodic order has developed enormously. Many new tilings and properties have been discovered, few of which are covered or anticipated by the early papers and books. Here, we start from the well-known Fibonacci chain to explain some of them, with pointers to various generalisations as well as to higher-dimensional phenomena and results. This should give some entry points to the modern literature on the subject.</p>\",\"PeriodicalId\":14686,\"journal\":{\"name\":\"Israel Journal of Chemistry\",\"volume\":\"64 10-11\",\"pages\":\"\"},\"PeriodicalIF\":2.3000,\"publicationDate\":\"2024-04-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://onlinelibrary.wiley.com/doi/epdf/10.1002/ijch.202300155\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Israel Journal of Chemistry\",\"FirstCategoryId\":\"92\",\"ListUrlMain\":\"https://onlinelibrary.wiley.com/doi/10.1002/ijch.202300155\",\"RegionNum\":4,\"RegionCategory\":\"化学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"CHEMISTRY, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Israel Journal of Chemistry","FirstCategoryId":"92","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1002/ijch.202300155","RegionNum":4,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"CHEMISTRY, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0

摘要

在过去的 30 年里,非周期性阶的数学理论有了巨大的发展。人们发现了许多新的图式和性质,其中很少有早期论文和书籍所涉及或预见到的。在这里,我们从著名的斐波那契链开始,解释其中的一些,并指出各种概括以及高维现象和结果。这将为我们了解有关这一主题的现代文献提供一些切入点。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

On the Fibonacci Tiling and its Modern Ramifications

On the Fibonacci Tiling and its Modern Ramifications

On the Fibonacci Tiling and its Modern Ramifications

In the last 30 years, the mathematical theory of aperiodic order has developed enormously. Many new tilings and properties have been discovered, few of which are covered or anticipated by the early papers and books. Here, we start from the well-known Fibonacci chain to explain some of them, with pointers to various generalisations as well as to higher-dimensional phenomena and results. This should give some entry points to the modern literature on the subject.

求助全文
通过发布文献求助,成功后即可免费获取论文全文。 去求助
来源期刊
Israel Journal of Chemistry
Israel Journal of Chemistry 化学-化学综合
CiteScore
6.20
自引率
0.00%
发文量
62
审稿时长
6-12 weeks
期刊介绍: The fledgling State of Israel began to publish its scientific activity in 1951 under the general heading of Bulletin of the Research Council of Israel, which quickly split into sections to accommodate various fields in the growing academic community. In 1963, the Bulletin ceased publication and independent journals were born, with Section A becoming the new Israel Journal of Chemistry. The Israel Journal of Chemistry is the official journal of the Israel Chemical Society. Effective from Volume 50 (2010) it is published by Wiley-VCH. The Israel Journal of Chemistry is an international and peer-reviewed publication forum for Special Issues on timely research topics in all fields of chemistry: from biochemistry through organic and inorganic chemistry to polymer, physical and theoretical chemistry, including all interdisciplinary topics. Each topical issue is edited by one or several Guest Editors and primarily contains invited Review articles. Communications and Full Papers may be published occasionally, if they fit with the quality standards of the journal. The publication language is English and the journal is published twelve times a year.
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信