Folded Structures Satisfying Multiple Conditions

Isometries always exists to fold a paper to match a non-expansive folding of its boundary. However, there is little known about designing crease patterns that satisfy multiple constraints at the same time. In this paper, we analyze crease patterns that can fold to multiple prescribed folded boundari...

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Bibliographic Details
Main Authors: Demaine, Erik D, Ku, Jason S
Other Authors: Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
Format: Article
Language:English
Published: Information Processing Society of Japan 2021
Online Access:https://hdl.handle.net/1721.1/129572
Description
Summary:Isometries always exists to fold a paper to match a non-expansive folding of its boundary. However, there is little known about designing crease patterns that satisfy multiple constraints at the same time. In this paper, we analyze crease patterns that can fold to multiple prescribed folded boundaries, as well as flat-foldable states, such that every crease in the crease pattern is finitely folded in each folding. Additionally, we show how to layout simpler units in a grid to approximate triangulated surfaces.