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Journal for Geometry and Graphics 16 (2012), No. 2, 211--221 Copyright Heldermann Verlag 2012 Three-Dimensional Ornamental Structures Based on the Wallpaper Groups in Architecture Milena Stavric Institute of Architecture and Media, Graz University of Technology, Inffeldgasse 10, 8010 Graz, Austria mstavric@tugraz.at Albert Wiltsche Institute of Architecture and Media, Graz University of Technology, Inffeldgasse 10, 8010 Graz, Austria wiltsche@tugraz.at The aim of this work is the application of the theoretical knowledge of the seventeen wallpaper groups for extension of two-dimensional ornaments into three-dimensional architectural parametrical ornament structures. The geometrical definition of three-dimensional ornaments will be related to digital fabrication by a robotic arm and constraints conditioned by fabrication and assembling methods of modular tiles will be shown. Within the work we establish a digital flow from design to fabrication using 3D NURBS modeling and visual programming software for code generation. Finally we fabricate 3D ornamental parts by a robotic arm and present achieved results. Keywords: Wallpaper groups, 3D ornament, parametric design, robotic arm, digital work flow. MSC: 51M20; 00A67 [ Fulltext-pdf (10359 KB)] for subscribers only. |