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  2. Mathematics of paper folding - Wikipedia

    en.wikipedia.org/wiki/Mathematics_of_paper_folding

    In origami design problems, the goal is to design an object that can be folded out of paper given a specific target configuration. In origami foldability problems, the goal is to fold something using the creases of an initial configuration. Results in origami design problems have been more accessible than in origami foldability problems. [3]

  3. Fold-and-cut theorem - Wikipedia

    en.wikipedia.org/wiki/Fold-and-cut_theorem

    The fold-and-cut theorem states that any shape with straight sides can be cut from a single (idealized) sheet of paper by folding it flat and making a single straight complete cut. [1] Such shapes include polygons, which may be concave, shapes with holes, and collections of such shapes (i.e. the regions need not be connected ).

  4. Yoshizawa–Randlett system - Wikipedia

    en.wikipedia.org/wiki/Yoshizawa–Randlett_system

    The origami crane diagram, using the Yoshizawa–Randlett system. The Yoshizawa–Randlett system is a diagramming system used to describe the folds of origami models. Many origami books begin with a description of basic origami techniques which are used to construct the models.

  5. Origami - Wikipedia

    en.wikipedia.org/wiki/Origami

    Origami cranes The folding of an Origami crane A group of Japanese schoolchildren dedicate their contribution of Thousand origami cranes at the Sadako Sasaki memorial in Hiroshima. Origami ( 折り紙 , Japanese pronunciation: [oɾiɡami] or [oɾiꜜɡami] , from ori meaning "folding", and kami meaning "paper" ( kami changes to gami due to ...

  6. 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 ...

  7. 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]

  8. 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 ...

  9. Origami (magic trick) - Wikipedia

    en.wikipedia.org/wiki/Origami_(magic_trick)

    Origami is a magic stage illusion with a Japanese paperfolding theme, designed by Jim Steinmeyer. It was originally performed in 1986 by Canadian illusionist Doug Henning , using a working prop constructed by illusion builder John Gaughan .