Geometry of multi-layer freeform structures for architecture

Helmut Pottmann*, Yang Liu, Johannes Wallner, Alexander Bobenko, Wenping Wang

*Corresponding author for this work

Research output: Contribution to conferencePaperpeer-review

47 Scopus citations

Abstract

The geometric challenges in the architectural design of freeform shapes come mainly from the physical realization of beams and nodes. We approach them via the concept of parallel meshes, and present methods of computation and optimization. We discuss planar faces, beams of controlled height, node geometry, and multilayer constructions. Beams of constant height are achieved with the new type of edge offset meshes. Mesh parallelism is also the main ingredient in a novel discrete theory of curvatures. These methods are applied to the construction of quadrilateral, pentagonal and hexagonal meshes, discrete minimal surfaces, discrete constant mean curvature surfaces, and their geometric transforms. We show how to design geometrically optimal shapes, and how to find a meaningful meshing and beam layout for existing shapes.

Original languageEnglish (US)
DOIs
StatePublished - Dec 17 2007
Event34th Annual Meeting of the Association for Computing Machinery's Special Interest Group on Graphics - San Diego, CA, United States
Duration: Aug 5 2007Aug 9 2007

Other

Other34th Annual Meeting of the Association for Computing Machinery's Special Interest Group on Graphics
CountryUnited States
CitySan Diego, CA
Period08/5/0708/9/07

Keywords

  • Curvatures
  • Discrete differential geometry
  • Edge offset
  • Hexagonal mesh
  • Koebe polyhedron
  • Multi-layer construction
  • Offset mesh
  • Parallel mesh
  • Support structure
  • Surfaces in architecture

ASJC Scopus subject areas

  • Computer Science(all)

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