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  2. Yoshizawa–Randlett system - Wikipedia

    en.wikipedia.org/wiki/Yoshizawa–Randlett_system

    A dashed line shows a valley fold. The paper is folded in front of itself. A dashed and dotted line shows a mountain fold (there may be one or two dots per dash depending on the author). The paper is folded behind itself, this is normally done by turning the paper over, folding a valley fold and then turning the paper back over again.

  3. Crease pattern - Wikipedia

    en.wikipedia.org/wiki/Crease_pattern

    Crease pattern for a swordsman. A crease pattern (commonly referred to as a CP) [1] is an origami diagram that consists of all or most of the creases in the final model, rendered into one image. This is useful for diagramming complex and super-complex models, where the model is often not simple enough to diagram efficiently.

  4. Origami paper - Wikipedia

    en.wikipedia.org/wiki/Origami_paper

    Origami paper and a traditional origami crane. Origami paper is the paper used for origami, the art of Japanese paper folding.The only real requirement of the folding medium is that it must be able to hold a crease, but should ideally also be thinner than regular paper for convenience when multiple folds over the same small paper area are required (e.g. such as would be the case if creating an ...

  5. Origami - Wikipedia

    en.wikipedia.org/wiki/Origami

    Origami (折り紙, Japanese pronunciation: or [oɾiꜜɡami], from ori meaning "folding", and kami meaning "paper" (kami changes to gami due to rendaku)) is the Japanese art of paper folding. In modern usage, the word "origami" is often used as an inclusive term for all folding practices, regardless of their culture of origin.

  6. Origamic architecture - Wikipedia

    en.wikipedia.org/wiki/Origamic_architecture

    In the early 1980s, Professor Chatani began to experiment with cutting and folding paper to make unique and interesting pop-up cards. He used the techniques of origami (Japanese paper folding) and kirigami (Japanese papercutting), as well as his experience in architectural design, to create intricate patterns that played with light and shadow. [3]

  7. 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 ...

  8. Kirigami - Wikipedia

    en.wikipedia.org/wiki/Kirigami

    Kirigami is a variation of origami, the Japanese art of folding paper. In kirigami, the paper is cut as well as being folded, resulting in a three-dimensional design that stands away from the page. Kirigami typically does not use glue.

  9. 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 ...