Freeform Honeycomb Structures

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 de...

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Vydáno v:Computer graphics forum Ročník 33; číslo 5; s. 185 - 194
Hlavní autoři: Jiang, Caigui, Wang, Jun, Wallner, Johannes, Pottmann, Helmut
Médium: Journal Article
Jazyk:angličtina
Vydáno: Oxford Blackwell Publishing Ltd 01.08.2014
Témata:
Analysis
Categories and Subject Descriptors (according to ACM CCS)
Computer graphics
Finite element method
Geometry
Honeycomb
Honeycomb construction
Honeycomb structures
I.3.5 [Computer Graphics]: Computational Geometry and Object Modeling-Geometric algorithms
Industrial engineering
Shading
Smoothness
Studies
Topological manifolds
Walls
ISSN:0167-7055, 1467-8659
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Shrnutí: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.
Bibliografie:ark:/67375/WNG-ZXHTCN2S-Z
istex:B9622E60BE44D38025B9E2C0FF697FDB368AE752
ArticleID:CGF12444
Supporting Information
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ISSN:0167-7055
1467-8659
DOI:10.1111/cgf.12444