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Three-dimensional entanglement: knots, knits and nets

Evans, Myfanwy Ella

Description

Three-dimensional entanglement, including knots, periodic arrays of woven filaments (weavings) and periodic arrays of interpenetrating networks (nets), forms an integral part of the analysis of structure within the natural sciences. This thesis constructs a catalogue of 3-periodic entanglements via a scaffold of Triply-Periodic Minimal Surfaces (TPMS). The two-dimensional Hyperbolic plane can be wrapped over a TPMS in much the same way as the two-dimensional Euclidean plane can be wrapped...[Show more]

CollectionsOpen Access Theses
Date published: 2012-11-26
Type: Thesis (PhD)
URI: http://hdl.handle.net/1885/9502

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05Chapter5,6_Evans.pdf4.72 MBAdobe PDFThumbnail
04Chapter3,4_Evans.pdf61.26 MBAdobe PDFThumbnail
03Chapter1,2_Evans.pdf8.98 MBAdobe PDFThumbnail
02Whole_Evans.pdfWhole Thesis69.74 MBAdobe PDFThumbnail
01Front_Evans.pdfFront Matter114.87 kBAdobe PDFThumbnail


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