<div class="csl-bib-body">
<div class="csl-entry">Liu, D., Pellis, D., Chiang, Y.-C., Rist, F., Wallner, J., & Pottmann, H. (2023). Deployable strip structures. <i>ACM Transactions on Graphics</i>, <i>42</i>(4), 1–16. https://doi.org/10.1145/3592393</div>
</div>
-
dc.identifier.issn
0730-0301
-
dc.identifier.uri
http://hdl.handle.net/20.500.12708/192072
-
dc.description.abstract
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.
