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It includes the NP-completeness of testing flat foldability, [2] the problem of map folding (determining whether a pattern of mountain and valley folds forming a square grid can be folded flat), [2] [4] the work of Robert J. Lang using tree structures and circle packing to automate the design of origami folding patterns, [2] [4] the fold-and ...
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.
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 ...
Modular origami or unit origami is a multi-stage paper folding technique in which several, or sometimes many, sheets of paper are first folded into individual modules or units and then assembled into an integrated flat shape or three-dimensional structure, usually by inserting flaps into pockets created by the folding process. [3]
Paper knives are no longer in common use, except perhaps by antiques enthusiasts. [ 2 ] An electric version of a letter opener is also available, which uses motors to slide the envelopes across a blade , and is also able to handle increased numbers of envelopes, but the blade can slice into the contents of the envelope and damage them.
Traditional envelopes are made from sheets of paper cut to one of three shapes: a rhombus, a short-arm cross or a kite. These shapes allow the envelope structure to be made by folding the sheet sides around a central rectangular area. In this manner, a rectangle-faced enclosure is formed with an arrangement of four flaps on the reverse side.
A scarf (pl.: scarves or scarfs) is a long piece of fabric that is worn on or around the neck, shoulders, or head. A scarf is used for warmth, sun protection, cleanliness, fashion, religious reasons, or to show support for a sports club or team. [ 1 ]
US Patent 701,839 for a windowed envelope Modern envelope with a single window for the recipient address. A windowed envelope is a conventional envelope with a transparent (typically PET or BOPS Bi-oriented polystyrene [1] plastic film) window to allow the recipient's address to be printed on the paper contained within.
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