From 3-Point-Constellations to Self-organizing Folded/Bent Spatial Configurations

Chapter

Abstract

Our investigation is based on a seemingly simple phenomenon that we all know from kinking sheets of paper. In this sense it is related to self-organizing processes and forms. The controlled elastic deformation of thin, planar sheet elements into 3 dimensional objects describe above mentioned phenomenon by predefining 3 points (MAB) on the surface with M fixed in space and identified shape characteristics of the short self-organizing curved ridge-line, which is smoothly fading to an elastically bent surface. This paper presents the geometrical and kinematic simulation of controlled elastic deformation of planar sheet elements of any shape into self-organizing folded/bent spatial configurations by predefining any 3-point-constellation (M, A, B) with A, B equidistant and symmetrical to M (Fig. 1). The geometrical description of spatial configurations in all transition phases and its kinematic simulation is based on a microscopic analysis of physical models. From this we receive a line-pattern, which can be applied to the sheet-element as a basis for simulating spatial movements of surface-points. At present simulation and physical models show maximum 5 % deviation only. Several tests and various 3-point-constellations verified that our simulation can be a powerful and reliable tool in exploring design freedoms as well as limits, which will be extended to more complex arrangements.

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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  1. 1.Faculty of Architecture, Institute of Design/unit koge. Structure and DesignUniversity of InnsbruckInnsbruckAustria

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