Tiling Freeform Shapes With Straight Panels: Algorithmic Methods

Johannes Wallner, Alexander Schiftner, Martin Kilian, Simon Flöry, Mathias Höbinger, Bailin Deng, Qixing Huang, Helmut Pottmann

Abstract: This paper shows design studies with bent panels which are originally rectangular or at least approximately rectangular. Based on recent results obtained in the geometry processing community, we algorithmically approach the questions of an exact rectangular shape of panels; of watertightness of the resulting paneling; and of the panel shapes being achievable by pure bending. We conclude the paper with an analysis of stress and strain in bent and twisted panels.