Abstract
No satisfactory general solution exists today to enable high repetition of elements in architectural freeform structures. In this paper we investigate why and propose several solution approaches to design highly repetitive structures with the simplest (and usually most affordable) geometric base elements: planar polygons. We explore the potential and limitations of these approaches and show that there is a large class of structures achievable by repeating even only a single polygon. We discuss how the proposed techniques reach beyond the topics of repetition and panelization and could be part of a more diversified investigation of “freeform” in architectural geometry.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Eigensatz, M., Kilian, M., Schiftner, A., Mitra, N.J., Pottmann, H., Pauly, M.: Paneling architectural freeform surfaces. ACM Trans. Graph. 29(4), 45 (2010). Proc. SIGGRAPH
Frey, W.H.: Boundary triangulations approximating developable surfaces that interpolate a closed space curve. Int. J. Found. Comput. Sci. 13, 285–302 (2002)
Fu, C.-W., Lai, C.-F., He, Y., Cohen-Or, D.: K-set tilable surfaces. ACM Trans. Graph. 29(4), 44 (2010). Proc. SIGGRAPH
Isenburg, M., Gumhold, S., Gotsman, C.: Connectivity shapes. In: Proceedings of the Conference on Visualization ’01 (VIS ’01), San Diego, pp. 135–142. IEEE Computer Society (2001)
Pottmann, H., Asperl, A., Hofer, M., Kilian, A.: Architectural Geometry. Bentley Institute Press, Exton (2007)
Schiftner, A., Raynaud, J., Baldassini, N., Bo, P., Pottmann, H.: Architectural freeform structures from single curved panels. In: Advances in Architectural Geometry, pp. 45–48. TU Wien, Vienna (2008)
Singh, M., Schaefer, S.: Triangle surfaces with discrete equivalence classes. ACM Trans. Graph. 29(4), 46 (2010) Proc. SIGGRAPH
Tachi, T.: Freeform variations of origami. J. Geom. Graph. 14(2), 203–215 (2010)
Acknowledgements
This work has received funding under the European Union’s Seventh Framework Programme FP7/2007-2013/ under REA grant agreement PIAP-GA-2011-286426 – GEMS (http://www.geometrie.tuwien.ac.at/ig/gems/index.php).
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer International Publishing Switzerland
About this paper
Cite this paper
Huard, M., Eigensatz, M., Bompas, P. (2015). Planar Panelization with Extreme Repetition. In: Block, P., Knippers, J., Mitra, N., Wang, W. (eds) Advances in Architectural Geometry 2014. Springer, Cham. https://doi.org/10.1007/978-3-319-11418-7_17
Download citation
DOI: https://doi.org/10.1007/978-3-319-11418-7_17
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-11417-0
Online ISBN: 978-3-319-11418-7
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)