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dc.contributor.authorJiang, Caigui
dc.contributor.authorWang, Jun
dc.contributor.authorWallner, Johannes
dc.contributor.authorPottmann, Helmut
dc.date.accessioned2014-09-29T06:50:17Z
dc.date.available2014-09-29T06:50:17Z
dc.date.issued2014-08-23
dc.identifier.citationFreeform Honeycomb Structures 2014, 33 (5):185 Computer Graphics Forum
dc.identifier.issn01677055
dc.identifier.doi10.1111/cgf.12444
dc.identifier.urihttp://hdl.handle.net/10754/331931
dc.description.abstractMotivated by requirements of freeform architecture, and inspired by the geometry of hexagonal combs in beehives, this paper addresses torsion-free structures aligned with hexagonal meshes. Since repetitive geometry is a very important contribution to the reduction of production costs, we study in detail “honeycomb structures”, which are defined as torsion-free structures where the walls of cells meet at 120 degrees. Interestingly, the Gauss-Bonnet theorem is useful in deriving information on the global distribution of node axes in such honeycombs. This paper discusses the computation and modeling of honeycomb structures as well as applications, e.g. for shading systems, or for quad meshing. We consider this paper as a contribution to the wider topic of freeform patterns, polyhedral or otherwise. Such patterns require new approaches on the technical level, e.g. in the treatment of smoothness, but they also extend our view of what constitutes aesthetic freeform geometry.
dc.language.isoen
dc.publisherWiley
dc.relation.urlhttp://doi.wiley.com/10.1111/cgf.12444
dc.relation.urlhttp://www.dmg.tuwien.ac.at/pottmann/2014/honeycomb/index.html
dc.rightsArchived with thanks to Computer Graphics Forum
dc.titleFreeform Honeycomb Structures
dc.typeArticle
dc.contributor.departmentApplied Mathematics and Computational Science Program
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.contributor.departmentVisual Computing Center (VCC)
dc.identifier.journalComputer Graphics Forum
dc.eprint.versionPre-print
dc.contributor.institutionTU Graz
dc.contributor.institutionTU Wien
dc.contributor.affiliationKing Abdullah University of Science and Technology (KAUST)
kaust.personWang, Jun
kaust.personPottmann, Helmut
kaust.personJiang, Caigui
refterms.dateFOA2018-06-13T15:33:03Z
dc.date.published-online2014-08-23
dc.date.published-print2014-08


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