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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. 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 ...

  5. 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.

  6. 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.

  7. Mathematics of paper folding - Wikipedia

    en.wikipedia.org/wiki/Mathematics_of_paper_folding

    The placement of a point on a curved fold in the pattern may require the solution of elliptic integrals. Curved origami allows the paper to form developable surfaces that are not flat. [41] Wet-folding origami is a technique evolved by Yoshizawa that allows curved folds to create an even greater range of shapes of higher order complexity.

  8. Robert J. Lang - Wikipedia

    en.wikipedia.org/wiki/Robert_J._Lang

    Robert Lang folding an origami American flag, which includes 50 stars and 15 white and 13 red stripes, from a single uncut square. Lang was born in Dayton, Ohio, and grew up in Atlanta, Georgia. [1]

  9. Miura fold - Wikipedia

    en.wikipedia.org/wiki/Miura_fold

    The Miura fold is a form of rigid origami, meaning that the fold can be carried out by a continuous motion in which, at each step, each parallelogram is completely flat. This property allows it to be used to fold surfaces made of rigid materials, making it distinct from the Kresling fold and Yoshimura fold which cannot be rigidly folded and ...