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  2. Rigid origami - Wikipedia

    en.wikipedia.org/wiki/Rigid_origami

    Rigid origami is a branch of origami which is concerned with folding structures using flat rigid sheets joined by hinges. That is, unlike in traditional origami, the panels of the paper cannot be bent during the folding process; they must remain flat at all times, and the paper only folded along its hinges. A rigid origami model would still be ...

  3. Origamic architecture - Wikipedia

    en.wikipedia.org/wiki/Origamic_architecture

    Origamic architecture is a form of kirigami that involves the three-dimensional reproduction of architecture and monuments, on various scales, using cut-out and folded paper, usually thin paperboard. Visually, these creations are comparable to intricate 'pop-ups', indeed, some works are deliberately engineered to possess 'pop-up'-like properties.

  4. Mathematics of paper folding - Wikipedia

    en.wikipedia.org/wiki/Mathematics_of_paper_folding

    Mathematics of paper folding. Map folding for a 2×2 grid of squares: there are eight different ways to fold such a map along its creases. The discipline of origami or paper folding has received a considerable amount of mathematical study. Fields of interest include a given paper model's flat-foldability (whether the model can be flattened ...

  5. Napkin folding problem - Wikipedia

    en.wikipedia.org/wiki/Napkin_folding_problem

    The napkin folding problem is a problem in geometry and the mathematics of paper folding that explores whether folding a square or a rectangular napkin can increase its perimeter. The problem is known under several names, including the Margulis napkin problem, suggesting it is due to Grigory Margulis, and the Arnold's rouble problem referring ...

  6. Yoshizawa–Randlett system - Wikipedia

    en.wikipedia.org/wiki/Yoshizawa–Randlett_system

    The paper is then collapsed to form a square shape with four isosceles-right triangular flaps. It is sometimes called the Square Base; The bird base, or crane base, consists of a preliminary fold with both the front and the back sides petal folded upward. The frog base starts with a waterbomb base or preliminary fold.

  7. 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 ...

  8. Miura fold - Wikipedia

    en.wikipedia.org/wiki/Miura_fold

    The Miura fold (ミウラ折り, Miura-ori) is a method of folding a flat surface such as a sheet of paper into a smaller area. The fold is named for its inventor, Japanese astrophysicist Kōryō Miura. [ 1] The crease patterns of the Miura fold form a tessellation of the surface by parallelograms. In one direction, the creases lie along ...

  9. Paper fortune teller - Wikipedia

    en.wikipedia.org/wiki/Paper_fortune_teller

    Paper fortune teller

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