13 Scopus citations

Abstract

Kirigami, the traditional Japanese art of paper cutting and folding generalizes origami and has initiated new research in material science as well as graphics. In this paper we use its capabilities to perform geometric modeling with corrugated surface representations possessing an isometric unfolding into a planar domain after appropriate cuts are made. We initialize our box-based kirigami structures from orthogonal networks of curves, compute a first approximation of their unfolding via mappings between meshes, and complete the process by global optimization. Besides the modeling capabilities we also study the interesting geometry of special kirigami structures from the theoretical side. This experimental paper strives to relate unfoldable checkerboard arrangements of boxes to principal meshes, to the transformation theory of discrete differential geometry, and to a version of the Gauss theorema egregium.
Original languageEnglish (US)
JournalACM Transactions on Graphics
DOIs
StatePublished - 2020

Bibliographical note

KAUST Repository Item: Exported on 2020-10-22
Acknowledgements: This work was supported by the SFB-Transregio programme Discretization in geometry and dynamics,through grant I2978 of the Austrian Science Fund, and the WWTF under grant ICT15-082. Caigui Jiang and Florian Rist were supported by KAUST baseline funding.

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