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Almost every origami book has basic instructions and a set of folding symbols. The following are books that happen to have detailed explanations of these techniques, and how the techniques are related to each other: David Lister (29 February 2024). "The Origin of Origami Symbols". British Origami Society. Robert J. Lang (1988).
Axioms 1 through 6 were rediscovered by Japanese-Italian mathematician Humiaki Huzita and reported at the First International Conference on Origami in Education and Therapy in 1991. Axioms 1 though 5 were rediscovered by Auckly and Cleveland in 1995. Axiom 7 was rediscovered by Koshiro Hatori in 2001; Robert J. Lang also found axiom 7.
Samuel L Randlett (January 11, 1930 – July 2023) was an American origami artist who helped develop the modern system for diagramming origami folds. Together with Robert Harbin he developed the notation introduced by Akira Yoshizawa to form what is now called the Yoshizawa-Randlett system (sometimes known as Yoshizawa-Randlett-Harbin system). [1]
With a construction system that can trisect angles, such as mathematical origami, more numbers of sides are possible, using Pierpont primes in place of Fermat primes, including -gons for equal to 7, 13, 14, 17, 19, etc. [6] Geometric Origami provides explicit folding instructions for 15 different regular polygons, including those with 3, 5, 6 ...
Computational origami results either address origami design or origami foldability. [3] In origami design problems, the goal is to design an object that can be folded out of paper given a specific target configuration. In origami foldability problems, the goal is to fold something using the creases of an initial configuration.
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The regular paperfolding sequence corresponds to folding a strip of paper consistently in the same direction. If we allow the direction of the fold to vary at each step we obtain a more general class of sequences. Given a binary sequence (f i), we can define a general paperfolding sequence with folding instructions (f i).
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