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Huzita–Hatori Axioms
The Huzita–Justin axioms or Huzita–Hatori axioms are a set of rules related to the Mathematics of paper folding, mathematical principles of origami, describing the operations that can be made when folding a piece of paper. The Axiom, axioms assume that the operations are completed on a plane (i.e. a perfect piece of paper), and that all folds are linear. These are not a minimal set of axioms but rather the complete set of possible single folds. The first seven axioms were first discovered by French folder and mathematician Jacques Justin in 1986. Axioms 1 through 6 were rediscovered by Japanese people, Japanese-Italy, 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. The seven axioms The first 6 axioms are known as Justin's axioms or Huzita ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematics Of Paper Folding
The discipline of origami or paper folding has received a considerable amount of mathematical study. Fields of interest include a given paper model's flat-foldability (whether the model can be flattened without damaging it), and the use of paper folds to solve up-to cubic mathematical equations. Computational origami is a recent branch of computer science that is concerned with studying algorithms that solve paper-folding problems. The field of computational origami has also grown significantly since its inception in the 1990s with Robert Lang's TreeMaker algorithm to assist in the precise folding of bases. Computational origami results either address origami design or origami foldability."Lecture: Recent Results in Computational Origami". ''Origami USA: We are the American national society devoted to origami, the art of paperfolding''. Retrieved 2022-05-08. In origami design problems, the goal is to design an object that can be folded out of paper given a specific target configur ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
