“Deployable strip structures” by Liu, Pellis, Chiang, Rist, Wallner, et al. …

  • ©Daoming Liu, Davide Pellis, Yu-Chou Chiang, Florian Rist, Johannes Wallner, and Helmut Pottmann




    Deployable strip structures

Session/Category Title: Surfaces, Strips, Lights




    We introduce the new concept of C-mesh to capture kinetic structures that can be deployed from a collapsed state. Quadrilateral C-meshes enjoy rich geometry and surprising relations with differential geometry: A structure that collapses onto a flat and straight strip corresponds to a Chebyshev net of curves on a surface of constant Gaussian curvature, while structures collapsing onto a circular strip follow surfaces which enjoy the linear-Weingarten property. Interestingly, allowing more general collapses actually leads to a smaller class of shapes. Hexagonal C-meshes have more degrees of freedom, but a local analysis suggests that there is no such direct relation to smooth surfaces. Besides theory, this paper provides tools for exploring the shape space of C-meshes and for their design. We also present an application for freeform architectural skins, namely paneling with spherical panels of constant radius, which is an important fabrication-related constraint.


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