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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.
Paper-cut with stupa. One of the earliest known papercuts, this specimen was recovered by Paul Pelliot in the Dunhuang grotto and is dated to the tenth century. Bibliothèque nationale de France Chinese paper cuttings (2014) Papercutting or paper cutting is the art of paper designs. Art has evolved all over the world to adapt to different ...
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 ).
For example, mathematical beauty arises in a Math Circle activity on symmetry designed for 2nd and 3rd graders, where students create their own snowflakes by folding a square piece of paper and cutting out designs of their choice along the edges of the folded paper. When the paper is unfolded, a symmetrical design reveals itself.
In the United States, the term kirigami was coined by Florence Temko from Japanese kiri, ' cut ', and kami, ' paper ', in the title of her 1962 book, Kirigami, the Creative Art of Paper cutting. The book achieved enough success that the word kirigami was accepted as the Western name for the art of paper cutting.
Origami paper weighs slightly less than copy paper, making it suitable for a wider range of models. Normal copy paper with weights of 70–90 g/m 2 (19–24 lb) can be used for simple folds, such as the crane and waterbomb. Heavier weight papers of 100 g/m 2 (approx. 25 lb) or more can be wet-folded. This technique allows for a more rounded ...
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In October 1999, US Department of Education issued a report labeling Everyday Mathematics one of five "promising" new math programs. [7] The debate has continued at the state and local level as school districts across the country consider the adoption of Everyday Math. Two states where the controversy has attracted national attention are ...
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