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  2. Toshikazu Kawasaki - Wikipedia

    en.wikipedia.org/wiki/Toshikazu_Kawasaki

    Toshikazu Kawasaki (川崎敏和, Kawasaki Toshikazu, born November 26, 1955 in Kurume, Fukuoka) is a Japanese paperfolder and origami theorist who is known for his geometrically innovative models. He is particularly famous for his series of fourfold symmetry "roses", all based on a twisting maneuver that allows the petals to seem to curl out ...

  3. List of origamists - Wikipedia

    en.wikipedia.org/wiki/List_of_origamists

    Satoshi Kamiya – one of the youngest geniuses of the origami field (born 1981) [2] Kunihiko Kasahara – devised a standardized method for creating many modular polyhedra; Toshikazu Kawasaki – Japanese mathematician famous for his Iso-area folding theory and his many geometric folds, including Kawasaki's "Rose"

  4. Origami - Wikipedia

    en.wikipedia.org/wiki/Origami

    The best-known origami model is the Japanese paper ... Kawasaki rose using the twist fold devised by Toshikazu Kawasaki. The calyx is made separately. Kawasaki cube ...

  5. Kawasaki's theorem - Wikipedia

    en.wikipedia.org/wiki/Kawasaki's_theorem

    Kawasaki's theorem or Kawasaki–Justin theorem is a theorem in the mathematics of paper folding that describes the crease patterns with a single vertex that may be folded to form a flat figure. It states that the pattern is flat-foldable if and only if alternatingly adding and subtracting the angles of consecutive folds around the vertex gives ...

  6. 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.

  7. Category:Origami artists - Wikipedia

    en.wikipedia.org/wiki/Category:Origami_artists

    Pages in category "Origami artists" The following 44 pages are in this category, out of 44 total. ... Toshikazu Kawasaki; Marc Kirschenbaum; L. Robert J. Lang;

  8. Big-little-big lemma - Wikipedia

    en.wikipedia.org/wiki/Big-little-big_lemma

    The lemma concerns the angles made by consecutive pairs of creases at a single vertex of the crease pattern. It states that if any one of these angles is a local minimum (that is, smaller than the two angles on either side of it), then exactly one of the two creases bounding the angle must be a mountain fold and exactly one must be a valley fold.

  9. Mathematics of paper folding - Wikipedia

    en.wikipedia.org/wiki/Mathematics_of_paper_folding

    Computational origami results either address origami design or origami foldability. [3] 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.