Isogonal piecewise‐linear embeddings of 1‐periodic knots and links, and related 2‐periodic chain‐link and knitting patterns
Isogonal piecewise‐linear embeddings of 1‐periodic knots and links, and related 2‐periodic...
O'Keeffe, Michael; Treacy, Michael M. J.
2022-05-01 00:00:00
Families of 1‐ and 2‐periodic knots and weavings that have isogonal (vertex‐transitive) piecewise‐linear embeddings are described. In these structures there is just one thread, or multiple threads with parallel or collinear axes. The principal structures are a large family of 1‐periodic knots and related multi‐thread infinite links, knitting patterns and chain‐link weaving. The relevance to synthetic chemistry is described in terms of targets for designed synthesis such as mechanically interlocked polymers.
http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.pngActa Crystallographica Section A: Foundations and AdvancesWileyhttp://www.deepdyve.com/lp/wiley/isogonal-piecewise-linear-embeddings-of-1-periodic-knots-and-links-and-b0jF5lfJE2
Isogonal piecewise‐linear embeddings of 1‐periodic knots and links, and related 2‐periodic chain‐link and knitting patterns
Families of 1‐ and 2‐periodic knots and weavings that have isogonal (vertex‐transitive) piecewise‐linear embeddings are described. In these structures there is just one thread, or multiple threads with parallel or collinear axes. The principal structures are a large family of 1‐periodic knots and related multi‐thread infinite links, knitting patterns and chain‐link weaving. The relevance to synthetic chemistry is described in terms of targets for designed synthesis such as mechanically interlocked polymers.
Journal
Acta Crystallographica Section A: Foundations and Advances
– Wiley
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