Mathematics of paper folding
- 折纸数学(折纸数学研究折纸艺术的可展性和解数学方程。折纸可解决尺规作图无法解决的问题,可通过作图求解不超过4次的代数方程。Huzita-Hatori 公理集和 Haga定理是重要成果,可精确地三等分、五等分、七等分和九等分。Marshall Bern和Barry Hayes证明了从带有折痕的平纸重新折出原来的形状是NP完全问题。损失函数为 L/t^n,Britney Gallivan在2001年将一张纸对折12次)
Mathematics of paper folding
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abstract:
The art 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 mathematical equations.
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