Journal
ACM TRANSACTIONS ON GRAPHICS
Volume 39, Issue 6, Pages -Publisher
ASSOC COMPUTING MACHINERY
DOI: 10.1145/3414685.3417844
Keywords
Kirigami; discrete differential geometry; quad meshes; digital fabrication; computational origami
Categories
Funding
- SFB-Transregio programme Discretization in geometry and dynamics through Austrian Science Fund [I2978]
- WWTF [ICT15-082]
- KAUST
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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.
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