书目名称 | Trivalent Discrete Surfaces and Carbon Structures |
编辑 | Hisashi Naito |
视频video | |
概述 | Discusses topological crystallography and provides many examples.Expounds upon a discrete surface theory which is based on crystals/molecular structures.Considers convergence arguments for discrete su |
丛书名称 | SpringerBriefs in the Mathematics of Materials |
图书封面 |  |
描述 | This book discusses discrete geometric analysis, especially topological crystallography and discrete surface theory for trivalent discrete surfaces. Topological crystallography, based on graph theory, provides the most symmetric structure among given combinatorial structures by using the variational principle, and it can reproduce crystal structures existing in nature. .In this regard, the topological crystallography founded by Kotani and Sunada is explained by using many examples. Carbon structures such as fullerenes are considered as trivalent discrete surfaces from the viewpoint of discrete geometric analysis. Discrete surface theories usually have been considered discretization of smooth surfaces. Here, consideration is given to discrete surfaces modeled by crystal/molecular structures, which are essentially discrete objects. . |
出版日期 | Book 2023 |
关键词 | discrete geometry analysis; topological crystallography; discrete surface theory; trivalent discrete su |
版次 | 1 |
doi | https://doi.org/10.1007/978-981-99-5769-9 |
isbn_softcover | 978-981-99-5768-2 |
isbn_ebook | 978-981-99-5769-9Series ISSN 2365-6336 Series E-ISSN 2365-6344 |
issn_series | 2365-6336 |
copyright | The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2023 |