Parameterization and Welding of a Knotbox

  • Daniel Lordick
Conference paper


A climbing frame called a Krabbelknoten (approximately: crawl-through knot) with a sophisticated mathematical background and constructed from approximately 600 meters of stainless steel wire, was created for the Erlebnisland Mathematik Dresden. We present the process of form finding, the parametric transformation of the surface into a framework of wires, the preparation of the welding in a traditional locksmith’s workshop, the algorithmic layout of the supporting structure, the solution of a crucial point during the knot’s transportation and last but not least, the integration of safety precautions into the design.


Laser Cutter Stainless Steel Wire NURBS Surface Pipe Surface Algorithmic Layout 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    3D LAB B25, (accessed June 10, 2011)
  2. 2.
    Brehm, U.: Polyhedral surfaces (extract of a talk). In: Proceedings 44/1989, Mathematisches Forschungsinstitut Oberwolfach, Geometry, October 15-21, p. 2 (1989)Google Scholar
  3. 3.
    DIN Deutsches Institut für Normung e.V. Taschenbuch 105, 6th edn., Beuth Berlin, Wien, Zürich (2009) Google Scholar
  4. 4.
    Erlebnisland Mathematik Dresden, (accessed June 10, 2011)
  5. 5.
    Hesse, R.: The Locksmith’s Workshop, (accessed June 10, 2011)
  6. 6.
    Lawson Jr., H.B.: Complete Minimal Surfaces in S3. The Annals of Mathematics, Second Series 92(3), 335–374 (1970), MathSciNetzbMATHCrossRefGoogle Scholar
  7. 7.
    Mathematical Models Collection, Institute of Geometry, University of Technology Dresden, (accessed June 10, 2011)
  8. 8.
    Technische Sammlungen Dresden, (accessed June 10, 2011)

Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Daniel Lordick
    • 1
  1. 1.Institute of GeometryUniversity of Technology DresdenGermany

Personalised recommendations