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Titlebook: An Introduction to Computational Origami; Tetsuo Ida Book 2020 Springer Nature Switzerland AG 2020 paper fold.Euclid and Origami geometry.

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Origami Geometry based on Huzita-Justin Folds,ometric objects. We show that Huzita-Justin’s basic folds can construct them without such tools but by hand. We reformulate Huzita-Justin’s fold rules by giving them precise conditions for their use. We prove that we can decide whether, by the reformulated rules, we can perform a fold as specified b
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Verification of Origami Geometry,During the construction, the logical formulas that describe the geometric configuration are formed and stored. We use those formulas for verifying the geometric properties of the constructed origami. In this chapter, we detail the process of verification. We give three examples of the application of
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Polygonal Knot Origami,n adequate length, we can construct the simplest knot by three folds. We can make the shape of the knot a regular pentagon if we fasten the knot rigidly. We analyze the knot fold formally so that we can construct it rigorously and verify the correctness of the construction by algebraic methods. In p
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Abstract Origami,ewriting system (O, ↬), where O is the set of abstract origamis and ↬ is a binary relation on O, that models a fold. An abstract origami is a structure (∏, ∼ , ≻), where ∏ is a set of faces constituting an origami, and ∼ and ≻ are binary relations on ∏, each denoting adjacency and superposition rela
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