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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 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.
Crease pattern for a Miura fold. The parallelograms of this example have 84° and 96° angles. The Miura fold is a rigid fold that has been used to pack large solar panel arrays for space satellites, which have to be folded before deployment. Robert J. Lang has applied rigid origami to the problem of folding a space telescope. [7]
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]
Although Kawasaki's theorem completely describes the folding patterns that have flat-folded states, it does not describe the folding process needed to reach that state. For some (multi-vertex) folding patterns, it is necessary to curve or bend the paper while transforming it from a flat sheet to its flat-folded state, rather than keeping the ...
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.
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.