Geometrical Solution Space for Grid Structures with Double-Walled Edges

  • Andres SevtsukEmail author
  • Raul Kalvo
Conference paper


This paper introduces a method for creating double-curved grid structures made out of flat components, where fabrication is limited to only 2-dimensional cutting, making complex architectural structures accessible to a wider audience at a lower cost. The focus of the paper is to identify the limitations and to map the geometric solution-space of the method for real world construction applications. A double-walled nature of the structure enables us to significantly reduce the geometric complexity of the grid structure’s nodes – instead of needing to find a combined geometric intersection for all edges meeting at a node, our solution instead requires determining a pair of adjacent planes at a time, as many times as a node’s degree. But if any of these pairs of planes around a node is torsioned relative to the node’s normal, then collisions might occur between different pairs of planes. This paper discusses the geometric solution-space under which such collisions are avoided, making the structural joints easy to build. As a proof of concept, we demonstrate the use of this method in a design-build pavilion that was realized at the Singapore University of Technology and Design in 2013.


Solution Space Torsion Angle Node Degree Grid Structure Network Edge 
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  1. Mungan, I., Abel, J.: Toward lightness in concrete: some 20th century shells and bridges. J. IASS. 53, 75–82 (2012)Google Scholar
  2. Plumeyer, K.: Joint connection-system for planar or three-dimensional trusses. US Patent 5,399,043 (1995)Google Scholar
  3. Pólya, G.: Kombinatorische Anzahlbestimmungen für Gruppen, Graphen und chemische Verbindungen. Acta. Mathematica. 68(1), 145–254 (1937)CrossRefMathSciNetGoogle Scholar
  4. Pottmann, H., Liu, Y., Wallner, J., Bobenko, A., Wang, W.: Geometry of multi-layer freeform structures for architecture. ACM Trans. Graph. 27(3), 65 (2007)CrossRefGoogle Scholar
  5. Pronk, A., Diminicus, M.: 84 ways to manipulate a membrane. J. IASS. 612, 257–270 (2013)Google Scholar
  6. Schlaich, J.: On some recent lightweight structures. J. IASS. 43(139), 69–79 (2002)Google Scholar
  7. Schlaich, J.: On Architects and Engineers, Shell Structures for Architecture – form Finding and Optimization, pp. VII–XI. Routledge (2014)Google Scholar
  8. Schneider, P., Eberly, D.: Geometric Tools for Computer Graphics, pp. 14–15. Morgan Kaufmann Publishers, Amsterdam (2003)Google Scholar
  9. Sevtsuk A., Kalvo, R.: A Freeform Surface Fabrication Method with 2D Cutting. In: Proceedings of symposium on simulation for architecture and urban design, SimAud 2014, pp. 109–116. Tampa (2014)Google Scholar
  10. Stephan, S., Collins, I.: Multiple node junction structure. US Patent App. 11/487,113 (2007)Google Scholar
  11. Wells, D.: The Penguin Dictionary of Curious and Interesting Geometry. Penguin, London (1991). pp. 121, 213, and 226–227zbMATHGoogle Scholar

Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  1. 1.Singapore University of Technology and DesignSingaporeSingapore

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