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Periodic entanglement I: Networks from hyperbolic reticulations

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Evans, Myfanwy; Robins, Vanessa; Hyde, Stephen

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High-symmetry free tilings of the two-dimensional hyperbolic plane (H 2) can be projected to genus-3 3-periodic minimal surfaces (TPMSs). The three-dimensional patterns that arise from this construction typically consist of multiple catenated nets. This p

dc.contributor.authorEvans, Myfanwy
dc.contributor.authorRobins, Vanessa
dc.contributor.authorHyde, Stephen
dc.date.accessioned2015-12-13T22:22:56Z
dc.identifier.issn0108-7673
dc.identifier.urihttp://hdl.handle.net/1885/72519
dc.description.abstractHigh-symmetry free tilings of the two-dimensional hyperbolic plane (H 2) can be projected to genus-3 3-periodic minimal surfaces (TPMSs). The three-dimensional patterns that arise from this construction typically consist of multiple catenated nets. This p
dc.publisherMunksgaard International Publishers
dc.rightsAuthor/s retain copyright
dc.sourceActa Crystallographica Section A: Foundations of Crystallography
dc.subjectKeywords: catenation; crystal nets; enumeration; frameworks; graphs; hyperbolic reticulations; ideal knots; networks; periodic entanglement; surfaces; tight knots; tilings
dc.titlePeriodic entanglement I: Networks from hyperbolic reticulations
dc.typeJournal article
local.description.notesImported from ARIES
local.identifier.citationvolume69
dc.date.issued2013
local.identifier.absfor020406 - Surfaces and Structural Properties of Condensed Matter
local.identifier.absfor010299 - Applied Mathematics not elsewhere classified
local.identifier.ariespublicationf5625xPUB3288
local.type.statusPublished Version
local.contributor.affiliationEvans, Myfanwy, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationRobins, Vanessa, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationHyde, Stephen, College of Physical and Mathematical Sciences, ANU
local.bibliographicCitation.issue3
local.bibliographicCitation.startpage241
local.bibliographicCitation.lastpage261
local.identifier.doi10.1107/S0108767313001670
dc.date.updated2016-02-24T09:08:49Z
local.identifier.scopusID2-s2.0-84876465442
local.identifier.thomsonID000317672000001
dcterms.accessRightsOpen Access
CollectionsANU Research Publications

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