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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. Yoshizawa–Randlett system - Wikipedia

    en.wikipedia.org/wiki/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. There are also a number of standard bases which are commonly used as a first step in construction.

  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. Geometric Origami - Wikipedia

    en.wikipedia.org/wiki/Geometric_Origami

    Geometric Origami is a book on the mathematics of paper folding, focusing on the ability to simulate and extend classical straightedge and compass constructions using origami. It was written by Austrian mathematician Robert Geretschläger [ de ] and published by Arbelos Publishing (Shipley, UK) in 2008.

  7. Huzita–Hatori axioms - Wikipedia

    en.wikipedia.org/wiki/Huzita–Hatori_axioms

    A fold F 1 (s) perpendicular to m 1 through its midpoint will place p 1 on the line at location d 1. Similarly, a fold F 2 (s) perpendicular to m 2 through its midpoint will place p 1 on the line at location d 2. The application of Axiom 2 easily accomplishes this. The parametric equations of the folds are thus:

  8. OrigamiUSA - Wikipedia

    en.wikipedia.org/wiki/OrigamiUSA

    World Origami Days [17]: a 2-1/2 week celebration of the international community of origami World Origami Days is held each year from October 24–November 11, with the goal of making origami as visible as possible by teaching a class, folding on the bus, giving origami to friends, exhibiting your models, etc. October 24 is the birthday of ...

  9. Rona Gurkewitz - Wikipedia

    en.wikipedia.org/wiki/Rona_Gurkewitz

    Multimodular Origami Polyhedra: Archimedeans, Buckyballs and Duality (Dover, 2002) [6] Beginner's Book of Modular Origami Polyhedra: The Platonic Solids (Dover, 2008) With Arnstein and Lewis Simon, she is a coauthor of the second edition of the book Modular Origami Polyhedra (Dover, 1999), extended from the first edition by Arnstein and Simon. [7]