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- W2327386431 abstract "The first phase of TreeMaker, a well-known method for origami design, decomposes a planar polygon (the “paper”) into regions. If some region is not convex, TreeMaker indicates it with an error message and stops. Otherwise, a second phases is invoked which computes a crease pattern called a “universal molecule”. In this paper we introduce and study geodesic universal molecules, which also work with non-convex polygons and thus extend the applicability of the TreeMaker method. We characterize the family of disk-like surfaces, crease patterns and folded states produced by our generalized algorithm. They include non-convex polygons drawn on the surface of an intrinsically flat piecewise-linear surface which have self-overlap when laid open flat, as well as surfaces with negative curvature at a boundary vertex." @default.
- W2327386431 created "2016-06-24" @default.
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- W2327386431 date "2016-03-01" @default.
- W2327386431 modified "2023-10-14" @default.
- W2327386431 title "Geodesic Universal Molecules" @default.
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- W2327386431 doi "https://doi.org/10.1007/s11786-016-0253-5" @default.
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