History
In 1893 T. Sundara Rao published "Geometric Exercises in Paper Folding" which used paper folding to demonstrate proofs of geometrical constructions. This work was inspired by the use of origami in the kindergarten system. This book had an approximate trisection of angles and implied construction of a cube root was impossible. In 1936 Margharita P. Beloch showed that use of the 'Beloch fold', later used in the sixth of the Huzita–Hatori axioms, allowed the general cubic to be solved using origami. In 1949 R C Yeates' book "Geometric Methods" described three allowed constructions corresponding to the first, second, and fifth of the Huzita–Hatori axioms. The axioms were discovered by Jacques Justin in 1989. but overlooked till the first six were rediscovered by Humiaki Huzita in 1991. The 1st International Meeting of Origami Science and Technology (now International Conference on Origami in Science, Math, and Education) was held in 1989 in Ferrara, Italy.
Read more about this topic: Mathematics Of Paper Folding
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