Freeform Honeycomb Structures

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dc.contributor.authorJiang, Caiguien_US
dc.contributor.authorWang, Junen_US
dc.contributor.authorWallner, Johannesen_US
dc.contributor.authorPottmann, Helmuten_US
dc.contributor.editorThomas Funkhouser and Shi-Min Huen_US
dc.date.accessioned2015-03-03T12:42:53Z
dc.date.available2015-03-03T12:42:53Z
dc.date.issued2014en_US
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_US
dc.description.seriesinformationComputer Graphics Forumen_US
dc.identifier.doi10.1111/cgf.12444en_US
dc.identifier.issn1467-8659en_US
dc.identifier.urihttps://doi.org/10.1111/cgf.12444en_US
dc.publisherThe Eurographics Association and John Wiley and Sons Ltd.en_US
dc.titleFreeform Honeycomb Structuresen_US
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33-Issue 5
SGP14: Eurographics Symposium on Geometry Processing (CGF 33-5)