Type
ArticleKAUST Department
Applied Mathematics and Computational Science ProgramComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Visual Computing Center (VCC)
Date
2014-08-23Online Publication Date
2014-08-23Print Publication Date
2014-08Permanent link to this record
http://hdl.handle.net/10754/331931
Metadata
Show full item recordAbstract
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.Citation
Freeform Honeycomb Structures 2014, 33 (5):185 Computer Graphics ForumPublisher
WileyJournal
Computer Graphics ForumAdditional Links
http://doi.wiley.com/10.1111/cgf.12444http://www.dmg.tuwien.ac.at/pottmann/2014/honeycomb/index.html
ae974a485f413a2113503eed53cd6c53
10.1111/cgf.12444