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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]
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 ...
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 ...
During baking, water in the butter vaporizes and expands, causing the dough to puff up and separate, while the lipids in the butter essentially fry the dough, resulting in a light, flaky product. [2] Pastries using laminated doughs include: Croissant pastry, from France; Danish pastry, made with yeast-leavened dough, from Austria via Denmark ...
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.
When the butter has been churned to satisfaction, place a bowl in the middle of the table with a strainer sitting in it, lined with a clean dish towel or piece of muslin.
A folding machine Buckle folding machine. A folding machine is a machine used primarily for the folding of paper.Folding is the sharp-edged bending of paper webs or sheets under pressure at a prepared or unprepared bending point along a straight line according to specified dimensions and folding layouts. [1]
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