Symmetric Tangling of Honeycomb Networks
- Symmetric, elegantly entangled structures are a curious mathematical construction that has found their way into the heart of the chemistry lab and the toolbox of constructive geometry. Of particular interest are those structures—knots, links and weavings—which are composed locally of simple twisted strands and are globally symmetric. This paper considers the symmetric tangling of multiple 2-periodic honeycomb networks. We do this using a constructive methodology borrowing elements of graph theory, low-dimensional topology and geometry. The result is a wide-ranging enumeration of symmetric tangled honeycomb networks, providing a foundation for their exploration in both the chemistry lab and the geometers toolbox.
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| Author details: | Myfanwy E. EvansORCiD, Stephen T. HydeORCiD |
|---|---|
| URN: | urn:nbn:de:kobv:517-opus4-570842 |
| DOI: | https://doi.org/10.25932/publishup-57084 |
| ISSN: | 1866-8372 |
| Title of parent work (German): | Zweitveröffentlichungen der Universität Potsdam : Mathematisch-Naturwissenschaftliche Reihe |
| Publication series (Volume number): | Zweitveröffentlichungen der Universität Potsdam : Mathematisch-Naturwissenschaftliche Reihe (1282) |
| Publication type: | Postprint |
| Language: | English |
| Date of first publication: | 2022/12/09 |
| Publication year: | 2022 |
| Publishing institution: | Universität Potsdam |
| Release date: | 2022/12/09 |
| Tag: | graphs; knots; molecular weaving; networks; periodic entanglement; tangles |
| Issue: | 1282 |
| Number of pages: | 13 |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik |
| DDC classification: | 6 Technik, Medizin, angewandte Wissenschaften / 61 Medizin und Gesundheit / 610 Medizin und Gesundheit |
| Peer review: | Referiert |
| Publishing method: | Open Access / Green Open-Access |
| License (German): |  CC-BY - Namensnennung 4.0 International |
| External remark: | Bibliographieeintrag der Originalveröffentlichung/Quelle |
