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  2. Yoshizawa–Randlett system - Wikipedia

    en.wikipedia.org/wiki/Yoshizawa–Randlett_system

    The two main types of origami symbol are lines and arrows [2] — arrows show how origami paper is bent or moved, while lines show various types of edges: A thick line shows the edge of the paper; A dashed line shows a valley fold. The paper is folded in front of itself.

  3. Orizuru - Wikipedia

    en.wikipedia.org/wiki/Orizuru

    The orizuru (折鶴 ori-"folded," tsuru "crane"), origami crane or paper crane, is a design that is considered to be the most classic of all Japanese origami. [ 1 ] [ 2 ] In Japanese culture, it is believed that its wings carry souls up to paradise, [ 2 ] and it is a representation of the Japanese red-crowned crane , referred to as the ...

  4. Origami - Wikipedia

    en.wikipedia.org/wiki/Origami

    A Japanese sword authentication paper (Origami) from 1702 that Hon'ami Kōchū certified a tantō made by Yukimitsu in the 14th century as authentic. From a global perspective, the term 'origami' refers to the folding of paper to shape objects for entertainment purposes, but it has historically been used in various ways in Japan.

  5. Foldforming - Wikipedia

    en.wikipedia.org/wiki/Foldforming

    Another resemblance that foldforming has is the paper fold technique known as "origami". The process of folding and unfolding a flat material is seen in both metal foldforming and papering folding origami. Many of the principles and issues that come with the folding and unfolding process can be seen in origami and foldforming. [7]

  6. Kawasaki's theorem - Wikipedia

    en.wikipedia.org/wiki/Kawasaki's_theorem

    For some (multi-vertex) folding patterns, it is necessary to curve or bend the paper while transforming it from a flat sheet to its flat-folded state, rather than keeping the rest of the paper flat and only changing the dihedral angles at each fold. For rigid origami (a type of folding that keeps the surface flat except at its folds, suitable ...

  7. Akira Yoshizawa - Wikipedia

    en.wikipedia.org/wiki/Akira_Yoshizawa

    Wet-folding allows the paper to be manipulated more easily, resulting in finished origami models that have a rounder and more sculpted look. Wet-folding is most often used with thicker paper; normal origami paper is very thin and thus prone to tearing when using the wet-folding technique. [2] Yoshizawa believed the process was the most ...

  8. Huzita–Hatori axioms - Wikipedia

    en.wikipedia.org/wiki/Huzita–Hatori_axioms

    Given two points p 1 and p 2 and a line l 1, there is a fold that places p 1 onto l 1 and passes through p 2. This axiom is equivalent to finding the intersection of a line with a circle, so it may have 0, 1, or 2 solutions. The line is defined by l 1, and the circle has its center at p 2, and a radius equal to the distance from p 2 to p 1. If ...

  9. Geometric Folding Algorithms - Wikipedia

    en.wikipedia.org/wiki/Geometric_Folding_Algorithms

    It includes the NP-completeness of testing flat foldability, [2] the problem of map folding (determining whether a pattern of mountain and valley folds forming a square grid can be folded flat), [2] [4] the work of Robert J. Lang using tree structures and circle packing to automate the design of origami folding patterns, [2] [4] the fold-and ...