Could you give me a reference (source)?Razzmatazz wrote:Determining if it is flat fold-able via Maekawa's and Kawasaki's theorem has been disproven. However it is a good general rule.
Fairy Archer CP Challenge!
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Re: Fairy Archer CP Challenge!
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Re: Fairy Archer CP Challenge!
Apparently the proof is in this document: http://dl.acm.org/citation.cfm?id=313852.313918
But it is in the wikipedia article for Kawasaki's theorem here: http://en.wikipedia.org/wiki/Kawasaki%27s_theorem
But it is in the wikipedia article for Kawasaki's theorem here: http://en.wikipedia.org/wiki/Kawasaki%27s_theorem
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Re: Fairy Archer CP Challenge!
Thanks for fixing it, Kafar! Can I post it on my website?
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Re: Fairy Archer CP Challenge!
Also: http://dl.acm.org/ft_gateway.cfm?id=313 ... N=39024271PauliusOrigami wrote:Could you give me a reference (source)?
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Re: Fairy Archer CP Challenge!
My understanding is that Maekawa's theorem and Kawasaki's theorem just tell you whether each vertex individually is flat-foldable or not. You can't have a flat-foldable crease pattern without satisfying both theorems at every vertex.PauliusOrigami wrote:Could you give me a reference (source)?Razzmatazz wrote:Determining if it is flat fold-able via Maekawa's and Kawasaki's theorem has been disproven. However it is a good general rule.
But just satisfying the theorems doesn't necessarily mean that the CP will be flat-foldable. Actually figuring out mathematically whether a CP is flat-foldable is much more complicated, not something that can be put into a simple set of rules.