Computational Complexity of Stamp Folding
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In this chapter, we introduce two new notions of computational origami. The first one is “folding complexity”, which is introduced to measure the number of folding. When you are given an origami design, you consider it is hard when the number of folding is more than one hundred. On the other hand, you feel it is easy when you obtain it after less than 10 times of folding. This intuition is formalized as folding complexity. The second one is “crease width”. When you fold an origami model, if you have many paper layers at a crease, it is hard to fold them accurately. This intuition is formalized as crease width. We give some algorithmic results and hardness proofs about these new concepts.
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