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  2. Yoshizawa–Randlett system - Wikipedia

    en.wikipedia.org/wiki/Yoshizawa–Randlett_system

    A rabbit ear fold starts with a reference crease down a diagonal. Fold two radial folds from opposite corners along the same side of the reference crease; the resulting flap should be folded downwards so that the previous edges are aligned. A petal fold starts with two connected flaps, each of which has at least two layers.

  3. Paper fortune teller - Wikipedia

    en.wikipedia.org/wiki/Paper_fortune_teller

    16th-century horoscope of archbishop John Hamilton, cast by Gerolamo Cardano, with lines resembling the fold lines of a paper fortune teller. Certain horoscopes from as far back as 12th-century Spain have a layout resembling this fold pattern, but they are not known to have been folded, nor to have been used in the same way as a paper fortune ...

  4. 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 ...

  5. Modular origami - Wikipedia

    en.wikipedia.org/wiki/Modular_origami

    Modular origami or unit origami is a multi-stage paper folding technique in which several, or sometimes many, sheets of paper are first folded into individual modules or units and then assembled into an integrated flat shape or three-dimensional structure, usually by inserting flaps into pockets created by the folding process. [3]

  6. Rigid origami - Wikipedia

    en.wikipedia.org/wiki/Rigid_origami

    Crease pattern for a Miura fold. The parallelograms of this example have 84° and 96° angles. The Miura fold is a rigid fold that has been used to pack large solar panel arrays for space satellites, which have to be folded before deployment. Robert J. Lang has applied rigid origami to the problem of folding a space telescope. [7]

  7. Origamic architecture - Wikipedia

    en.wikipedia.org/wiki/Origamic_architecture

    In the early 1980s, Professor Chatani began to experiment with cutting and folding paper to make unique and interesting pop-up cards. He used the techniques of origami (Japanese paper folding) and kirigami (Japanese papercutting), as well as his experience in architectural design, to create intricate patterns that played with light and shadow. [3]

  8. 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.

  9. 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 ...

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