Freeform Honeycomb Structures

Handle URI:
http://hdl.handle.net/10754/331931
Title:
Freeform Honeycomb Structures
Authors:
Jiang, Caigui ( 0000-0002-1342-4094 ) ; Wang, Jun; Wallner, Johannes; Pottmann, Helmut ( 0000-0002-3195-9316 )
Abstract:
Motivated 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.
KAUST Department:
Visual Computing Center (VCC)
Citation:
Freeform Honeycomb Structures 2014, 33 (5):185 Computer Graphics Forum
Publisher:
Wiley-Blackwell
Journal:
Computer Graphics Forum
Issue Date:
Jul-2014
DOI:
10.1111/cgf.12444
Type:
Article
ISSN:
01677055
Additional Links:
http://doi.wiley.com/10.1111/cgf.12444; http://www.dmg.tuwien.ac.at/pottmann/2014/honeycomb/index.html
Appears in Collections:
Articles; Visual Computing Center (VCC)

Full metadata record

DC FieldValue Language
dc.contributor.authorJiang, Caiguien
dc.contributor.authorWang, Junen
dc.contributor.authorWallner, Johannesen
dc.contributor.authorPottmann, Helmuten
dc.date.accessioned2014-09-29T06:50:17Z-
dc.date.available2014-09-29T06:50:17Z-
dc.date.issued2014-07en
dc.identifier.citationFreeform Honeycomb Structures 2014, 33 (5):185 Computer Graphics Forumen
dc.identifier.issn01677055en
dc.identifier.doi10.1111/cgf.12444en
dc.identifier.urihttp://hdl.handle.net/10754/331931en
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.en
dc.language.isoenen
dc.publisherWiley-Blackwellen
dc.relation.urlhttp://doi.wiley.com/10.1111/cgf.12444en
dc.relation.urlhttp://www.dmg.tuwien.ac.at/pottmann/2014/honeycomb/index.htmlen
dc.rightsArchived with thanks to Computer Graphics Forumen
dc.titleFreeform Honeycomb Structuresen
dc.typeArticleen
dc.contributor.departmentVisual Computing Center (VCC)en
dc.identifier.journalComputer Graphics Forumen
dc.eprint.versionPre-printen
dc.contributor.institutionTU Grazen
dc.contributor.institutionTU Wienen
dc.contributor.affiliationKing Abdullah University of Science and Technology (KAUST)en
kaust.authorWang, Junen
kaust.authorPottmann, Helmuten
kaust.authorJiang, Caiguien
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