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  2. Fold-and-cut theorem - Wikipedia

    en.wikipedia.org/wiki/Fold-and-cut_theorem

    Fold-and-cut theorem. Creating a Koch snowflake curve by the fold-and-cut method. The fold-and-cut theorem states that any shape with straight sides can be cut from a single (idealized) sheet of paper by folding it flat and making a single straight complete cut. [1] Such shapes include polygons, which may be concave, shapes with holes, and ...

  3. Mathematics of paper folding - Wikipedia

    en.wikipedia.org/wiki/Mathematics_of_paper_folding

    The fold-and-cut problem asks what shapes can be obtained by folding a piece of paper flat, and making a single straight complete cut. The solution, known as the fold-and-cut theorem, states that any shape with straight sides can be obtained. A practical problem is how to fold a map so that it may be manipulated with minimal effort or movements.

  4. Papercutting - Wikipedia

    en.wikipedia.org/wiki/Papercutting

    Papercutting - Wikipedia ... Papercutting

  5. Chinese paper cutting - Wikipedia

    en.wikipedia.org/wiki/Chinese_paper_cutting

    Chinese paper-cutting originated from the practice of worship of both ancestors and gods, a traditional part of Chinese culture dating back roughly two millennia. According to archaeological records, paper-cutting originates from the 6th century, although some believe that its history could be traced back as far as the Warring States period (around 3 BC), long before paper was invented.

  6. Kirigami - Wikipedia

    en.wikipedia.org/wiki/Kirigami

    Kirigami - Wikipedia ... Kirigami

  7. Fair pie-cutting - Wikipedia

    en.wikipedia.org/wiki/Fair_pie-cutting

    The fair pie-cutting problem is a variation of the fair cake-cutting problem, in which the resource to be divided is circular. As an example, consider a birthday cake shaped as a disk. The cake should be divided among several children such that no child envies another child (as in a standard cake-cutting problem), with the additional constraint ...

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