Deployable strip structures
Liu D., Pellis D., Chiang Y-C., Rist F., Wallner J., Pottmann H.
Digital fabrication Discrete differential geometry Deployable structure Computational design Computer Graphics and Computer-Aided Design Inverse design Spherical paneling Architectural geometry
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.
Source: ACM transactions on graphics 42 (2023): 1–16. doi:10.1145/3592393
Publisher: Association for Computing Machinery,, New York, N.Y. , Stati Uniti d'America
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@article{oai:it.cnr:prodotti:486749,
title = {Deployable strip structures},
author = {Liu D. and Pellis D. and Chiang Y-C. and Rist F. and Wallner J. and Pottmann H.},
publisher = {Association for Computing Machinery,, New York, N.Y. , Stati Uniti d'America},
doi = {10.1145/3592393},
journal = {ACM transactions on graphics},
volume = {42},
pages = {1–16},
year = {2023}
}