Kawasaki's theorem
Kawasaki's theorem is a theorem in the mathematics of paper folding that describes the crease patterns with a single vertex that may be folded to form a flat figure. It states that the pattern is flat-foldable if and only if alternatingly adding and subtracting the angles of consecutive folds around the vertex gives an alternating sum of zero.Crease patterns with more than one vertex do not obey such a simple criterion, and are NP-hard to fold.
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Kawasaki's theorem
Kawasaki's theorem is a theorem in the mathematics of paper folding that describes the crease patterns with a single vertex that may be folded to form a flat figure. It states that the pattern is flat-foldable if and only if alternatingly adding and subtracting the angles of consecutive folds around the vertex gives an alternating sum of zero.Crease patterns with more than one vertex do not obey such a simple criterion, and are NP-hard to fold.
has abstract
Der Satz von Kawasaki ist ein von formulierter mathematischer Satz über Origami.
@de
Kawasaki's theorem is a theore ...... acques Justin and Kôdi Husimi.
@en
川崎定理是一个折纸数学定理，它描述的是单点折痕图中可平折的充要条件，即奇数角度的总和是180度，偶数角的和也是180度。
@zh
가와사키의 정리(일본어: かわさきの整理)는 종이접기에서 ...... 가 안 된 이 납작하게 접힐지 판단할 수 있게 해준다.
@ko
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Tom Hull
@en
first
Tom
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last
Hull
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mode
cs2
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title
Kawasaki's Theorem
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urlname
KawasakisTheorem
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comment
Der Satz von Kawasaki ist ein von formulierter mathematischer Satz über Origami.
@de
Kawasaki's theorem is a theore ...... rion, and are NP-hard to fold.
@en
川崎定理是一个折纸数学定理，它描述的是单点折痕图中可平折的充要条件，即奇数角度的总和是180度，偶数角的和也是180度。
@zh
가와사키의 정리(일본어: かわさきの整理)는 종이접기에서 ...... 가 안 된 이 납작하게 접힐지 판단할 수 있게 해준다.
@ko
label
Kawasaki's theorem
@en
Satz von Kawasaki
@de
川崎定理
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가와사키의 정리
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