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With each fold a certain amount of paper is lost to potential folding. The loss function for folding paper in half in a single direction was given to be L = π t 6 ( 2 n + 4 ) ( 2 n − 1 ) {\displaystyle L={\tfrac {\pi t}{6}}(2^{n}+4)(2^{n}-1)} , where L is the minimum length of the paper (or other material), t is the material's thickness, and ...
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 collections of such shapes (i.e. the regions need not be connected ).
The Huzita–Justin axioms or Huzita–Hatori axioms are a set of rules related to the mathematical principles of origami, describing the operations that can be made when folding a piece of paper. The axioms assume that the operations are completed on a plane (i.e. a perfect piece of paper), and that all folds are linear.
En papillote (French pronunciation: [ɑ̃ papijɔt]; French for "enveloped in paper" [1]), or al cartoccio in Italian, is a method of cooking in which the food is put into a folded pouch or parcel and then baked. This method is most often used to cook fish or vegetables, but lamb and poultry can also be cooked en papillote.
In the mathematics of paper folding, map folding and stamp folding are two problems of counting the number of ways that a piece of paper can be folded. In the stamp folding problem, the paper is a strip of stamps with creases between them, and the folds must lie on the creases. In the map folding problem, the paper is a map, divided by creases ...
For rigid origami (a type of folding that keeps the surface flat except at its folds, suitable for hinged panels of rigid material rather than flexible paper), the condition of Kawasaki's theorem turns out to be sufficient for a single-vertex crease pattern to move from an unfolded state to a flat-folded state.
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Origamics: Mathematical Explorations Through Paper Folding is a book on the mathematics of paper folding by Kazuo Haga [], a Japanese retired biology professor.It was edited and translated into English by Josefina C. Fonacier and Masami Isoda, based on material published in several Japanese-language books by Haga, and published in 2008 by World Scientific. [1]