Titlebook: Introduction to Computational Origami; The World of New Com Ryuhei Uehara Book 2020 Springer Nature Singapore Pte Ltd. 2020 Computational O

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Zipper-UnfoldingIn this chapter, we focus on the edge-unfolding of convex polyhedron. It is conjectured that we can always do that, however, it is not yet settled. Thus we focus on the unfolding that is realized by zipper.

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Rep-CubeIn this chapter, we introduce a new concept of rep-cube and its known results. It is a fledgling concept born in 2016, so there are many topics to be studied.

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Undecidability of FoldingThe concluding chapter of this book is the topic of origami modeling. So far, we mainly consider discrete origami problems, which suit computers. However, when we consider continuous problem on origami, we have to face a gap between discrete and continuous models. Using this gap, we can consider undecidability on origami.

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Answers to ExercisesIn this chapter, we show the answers to exercises.

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https://doi.org/10.1007/978-981-15-4470-5Computational Origami; Computational Geometry; Algorithms; Origami; Geometry; Folding; Unfolding; algorithm

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One-Dimensional Origami Model and Stamp Foldingrip, and crease lines are orthogonal to the long side of the strip. That is, they are parallel to each other. Moreover, these crease lines are placed at regular intervals on the strip. As you can imagine, this is the simplest origami model in one-dimensional. In such a simple model, we have many problems from the viewpoint of algorithms.

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