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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 and published by Arbelos Publishing (Shipley, UK) in 2008.
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]
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 ...
Strip folding is a combination of paper folding and paper weaving. [30] A common example of strip folding is called the Lucky Star, also called Chinese lucky star, dream star, wishing star, or simply origami star. Another common fold is the Moravian Star which is made by strip folding in 3-dimensional design to include 16 spikes. [30]
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.
A cross fold is when a paper is folded once, then rotated 90 degrees and folded again. The creases therefore cross each other at right angles. The most basic cross fold is the French fold, or right-angle fold. Other examples include the 16-page broadside and the 12-page letter. [2]
The book achieved enough success that the word kirigami was accepted as the Western name for the art of paper cutting. [ 1 ] Typically, kirigami starts with a folded base, which is then unfolded; cuts are then opened and flattened to make the finished design.
Origami is the process of making a paper model by folding a single piece of paper without using glue or cutting while the variation kirigami does. Card modeling is making scale models from sheets of cardstock on which the parts were printed, usually in full color. These pieces would be cut out, folded, scored, and glued together.