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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. Cutting stock problem - Wikipedia

    en.wikipedia.org/wiki/Cutting_stock_problem

    Cutting stock problem. In operations research, the cutting-stock problem is the problem of cutting standard-sized pieces of stock material, such as paper rolls or sheet metal, into pieces of specified sizes while minimizing material wasted. It is an optimization problem in mathematics that arises from applications in industry.

  5. Scherenschnitte - Wikipedia

    en.wikipedia.org/wiki/Scherenschnitte

    Scherenschnitte (German pronunciation: [ˈʃeːʁənˌʃnɪtə]), which means "scissor cuts" in German, is the art of paper cutting design. The artwork often has rotational symmetry within the design, and common forms include silhouettes, valentines, and love letters. The art tradition was founded in Switzerland and Germany in the 16th century ...

  6. 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.

  7. Punched tape - Wikipedia

    en.wikipedia.org/wiki/Punched_tape

    Punched tape or perforated paper tape is a form of data storage device that consists of a long strip of paper through which small holes are punched. It was developed from and was subsequently used alongside punched cards, the difference being that the tape is continuous. Punched cards, and chains of punched cards, were used for control of looms ...

  8. Guillotine cutting - Wikipedia

    en.wikipedia.org/wiki/Guillotine_cutting

    A guillotine-cut (also called an edge-to-edge cut) is a straight bisecting line going from one edge of an existing rectangle to the opposite edge, similarly to a paper guillotine. Guillotine cutting is particularly common in the glass industry. Glass sheets are scored along horizontal and vertical lines, and then broken along these lines to ...

  9. Kirigami - Wikipedia

    en.wikipedia.org/wiki/Kirigami

    Kirigami. Kirigami (切り紙) is a variation of origami, the Japanese art of folding paper. In kirigami, the paper is cut as well as being folded, resulting in a three-dimensional design that stands away from the page. Kirigami typically does not use glue.