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Geometric Origami is a book on the mathematics of paper folding, focusing on the ability to simulate and extend classical straightedge and compass constructions using origami. It was written by Austrian mathematician Robert Geretschläger [ de ] and published by Arbelos Publishing (Shipley, UK) in 2008.
The napkin folding problem is the problem of whether a square or rectangle of paper can be folded so the perimeter of the flat figure is greater than that of the original square. The placement of a point on a curved fold in the pattern may require the solution of elliptic integrals.
The corners of a sheet of paper are folded up to meet the opposite sides and (if the paper is not already square) the top is cut off, making a square sheet with diagonal creases. [ 1 ] The four corners of the square are folded into the center, forming a shape known in origami terminology as a blintz base or cushion fold. [ 2 ]
Ilan Garibi (born 1965) is an Israeli origami artist and designer. He started his way in the world of art and design as a paper origami artist, and today also designs furniture, jewelry and works of art out of a variety of materials, such as metals, wood, and glass.
The paper is folded in front of itself. A dashed and dotted line shows a mountain fold (there may be one or two dots per dash depending on the author). The paper is folded behind itself, this is normally done by turning the paper over, folding a valley fold and then turning the paper back over again. A thin line shows where a previous fold has ...
Kirigami 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.
Despite the often visible folding direction at the folding points it can be extraordinarily difficult to put the paper back into the form with which it originally came. The reason these maps are difficult to restore to their original state is that the folds are designed for a paper-folding machine, in which the optimum folds are not of the sort ...
The Miura fold (ミウラ折り, Miura-ori) is a method of folding a flat surface such as a sheet of paper into a smaller area. The fold is named for its inventor, Japanese astrophysicist Kōryō Miura. [1] The crease patterns of the Miura fold form a tessellation of the surface by parallelograms.
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