Sector-angle-periodic generalization of quad-mesh rigid origami and its convergence to smooth surfaces
| Autor: | He, Zeyuan, Hayakawa, Kentaro, Ohsaki, Makoto |
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| Rok vydání: | 2024 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | A quad-mesh rigid origami is a continuously deformable panel-hinge structure where rigid zero-thickness quad panels are connected by rotational hinges in the combinatorics of a grid. This article introduces two new families of generalized sector-angle-periodic quad-mesh rigid origami stitched from proportional and equimodular couplings, expanding beyond commonly known variations such as V-hedra (discrete Voss surface/eggbox pattern), anti-V-hedra (flat-foldable pattern) and T-hedra (trapezoidal pattern). We conjecture that as the mesh is refined to infinity, these quad-mesh rigid origami converges to special ruled surfaces in the limit, supported by multiple lines of evidence. Additionally, we discuss the convergence of tangent planes, metric-related, and curvature-related properties. Comment: main text 15 pages (including references), supplementary material 77 pages, 20 figures, submitted manuscript |
| Databáze: | arXiv |
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