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The folding pattern for this form was documented by Isao Honda in 1933 alongside the simple cube. It was also documented by Harry Houdini as a "Japanese hexagon puzzle box" in 1922 without the simple cube version, in the company of several other traditional models which he learned from a Japanese acquaintance. Like the cube, this form can also ...
Kawasaki was the first to develop the technique of iso-area folding, which allows the folder to end up with each side of the paper displayed in equal amounts. It consists of building a mirror-symmetrical crease pattern and then collapsing it to find a finished form, usually a geometric shape such as a cube.
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 ...
Print/export Download as PDF ... Other paper folding arts and mathematical aspects of paper folding are in Category: ... Chinese paper folding; Crease pattern; D ...
With each fold a certain amount of paper is lost to potential folding. The loss function for folding paper in half in a single direction was given to be L = π t 6 ( 2 n + 4 ) ( 2 n − 1 ) {\displaystyle L={\tfrac {\pi t}{6}}(2^{n}+4)(2^{n}-1)} , where L is the minimum length of the paper (or other material), t is the material's thickness, and ...
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.
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Folding a Sonobe module (1–10) and assembly into a pyramid (11–12); * denote tabs and # denote pockets [10] Each individual unit is folded from a square sheet of paper, of which only one face is visible in the finished module; many ornamented variants of the plain Sonobe unit that expose both sides of the paper have been designed.