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    Freeform Honeycomb Structures

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    Name:
    hexstructure_final.pdf
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    9.567Mb
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    PDF
    Description:
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    Type
    Article
    Authors
    Jiang, Caigui cc
    Wang, Jun
    Wallner, Johannes
    Pottmann, Helmut cc
    KAUST Department
    Applied Mathematics and Computational Science Program
    Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
    Visual Computing Center (VCC)
    Date
    2014-08-23
    Online Publication Date
    2014-08-23
    Print Publication Date
    2014-08
    Permanent link to this record
    http://hdl.handle.net/10754/331931
    
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    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.
    Citation
    Freeform Honeycomb Structures 2014, 33 (5):185 Computer Graphics Forum
    Publisher
    Wiley
    Journal
    Computer Graphics Forum
    DOI
    10.1111/cgf.12444
    Additional Links
    http://doi.wiley.com/10.1111/cgf.12444
    http://www.dmg.tuwien.ac.at/pottmann/2014/honeycomb/index.html
    ae974a485f413a2113503eed53cd6c53
    10.1111/cgf.12444
    Scopus Count
    Collections
    Articles; Applied Mathematics and Computational Science Program; Visual Computing Center (VCC); Computer, Electrical and Mathematical Science and Engineering (CEMSE) Division

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