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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 ).
Maekawa's theorem is a theorem in the mathematics of paper folding named after Jun Maekawa. It relates to flat-foldable origami crease patterns and states that at every vertex, the numbers of valley and mountain folds always differ by two in either direction. [1] The same result was also discovered by Jacques Justin [2] and, even earlier, by S ...
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.
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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.
These are the best cookbooks of 2024, including the latest Half-Baked Harvest cookbook, Dolly Parton's newest cookbook, and the 25th anniversary edition of America's Test Kitchen.
Jun Maekawa (前川 淳, Maekawa Jun, 1958-) is a Japanese software engineer, mathematician, and origami artist. He is known for popularizing the method of utilizing crease patterns in designing origami models, with his 1985 publication Viva Origami, as well as other paperfolding-related theorems and mathematical analysis.