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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. Huzita–Hatori axioms - Wikipedia

    en.wikipedia.org/wiki/Huzita–Hatori_axioms

    The Huzita–Justin axioms or Huzita–Hatori axioms are a set of rules related to the mathematical principles of origami, describing the operations that can be made when folding a piece of paper. The axioms assume that the operations are completed on a plane (i.e. a perfect piece of paper), and that all folds are linear. These are not a ...

  4. 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 ...

  5. Regular paperfolding sequence - Wikipedia

    en.wikipedia.org/wiki/Regular_paperfolding_sequence

    The regular paperfolding sequence corresponds to folding a strip of paper consistently in the same direction. If we allow the direction of the fold to vary at each step we obtain a more general class of sequences. Given a binary sequence (f i), we can define a general paperfolding sequence with folding instructions (f i).

  6. 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.

  7. Origamics - Wikipedia

    en.wikipedia.org/wiki/Origamics

    Origamics: Mathematical Explorations Through Paper Folding is a book on the mathematics of paper folding by Kazuo Haga [], a Japanese retired biology professor.It was edited and translated into English by Josefina C. Fonacier and Masami Isoda, based on material published in several Japanese-language books by Haga, and published in 2008 by World Scientific. [1]

  8. Geometric Folding Algorithms - Wikipedia

    en.wikipedia.org/wiki/Geometric_Folding_Algorithms

    Geometric Folding Algorithms: Linkages, Origami, Polyhedra is a monograph on the mathematics and computational geometry of mechanical linkages, paper folding, and polyhedral nets, by Erik Demaine and Joseph O'Rourke. It was published in 2007 by Cambridge University Press (ISBN 978-0-521-85757-4).

  9. 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 ...

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