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Interactive Modeling of Architectural Freeform Structures: Combining Geometry with Fabrication and Statics

Caigui Jiang, Chengcheng Tang, Marko Tomičí, Johannes Wallner and Helmut Pottmann
Additional contact information
Caigui Jiang: KAUST
Chengcheng Tang: KAUST
Marko Tomičí: Waagner Biro Stahlbau
Johannes Wallner: TU Graz
Helmut Pottmann: KAUST

A chapter in Advances in Architectural Geometry 2014, 2015, pp 95-108 from Springer

Abstract: Abstract This paper builds on recent progress in computing with geometric constraints, which is particularly relevant to architectural geometry. Not only do various kinds of meshes with additional properties (like planar faces, or with equilibrium forces in their edges) become available for interactive geometric modeling, but so do other arrangements of geometric primitives, like honeycomb structures. The latter constitute an important class of geometric objects, with relations to “Lobel” meshes, and to freeform polyhedral patterns. Such patterns are particularly interesting and pose research problems which go beyond what is known for meshes, e.g. with regard to their computing, their flexibility, and the assessment of their fairness.

Keywords: Equilateral Triangle; Honeycomb Structure; Circle Packing; Spherical Image; Design Freedom (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-11418-7_7

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DOI: 10.1007/978-3-319-11418-7_7

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