Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: For a given mountain-valley pattern of equidistant creases on a long strip paper, there are many folded states consistent with the pattern. Among these folded states,  like to fold a paper so that the number of the paper layers beten each pair of hinged paper segments is minimized.  first formalize this problem as optimization problem. The complexity of the problem is not known. ,  give partial results related to the problem. First,  show that the problem is ll-defined even in a simple folding model. The simple folding model is the most primitive model of basic origami models, and hence the folding availability is very restricted.  show a universality theorem of the simple folding model for this problem. That is, every flat folded state consistent with any given pattern can be folded by a sequence of simple foldings. Next,  investigate the number of folded states consistent with a given pattern. For a given random mountain-valley pattern, the expected number of folded states consistent with the pattern is exponential.
['Ryuhei Uehara']
I am writing a research paper on a idea On stretch minimization problem on unit strip paper.
[{"from": "human", "value": "I am writing a research paper on a idea On stretch minimization problem on unit strip paper."}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: For a given mountain-valley pattern of equidistant creases on a long strip paper, there are many folded states consistent with the pattern. Among these folded states,  like to fold a paper so that the number of the paper layers beten each pair of hinged paper segments is minimized.  first formalize this problem as optimization problem. The complexity of the problem is not known. ,  give partial results related to the problem. First,  show that the problem is ll-defined even in a simple folding model. The simple folding model is the most primitive model of basic origami models, and hence the folding availability is very restricted.  show a universality theorem of the simple folding model for this problem. That is, every flat folded state consistent with any given pattern can be folded by a sequence of simple foldings. Next,  investigate the number of folded states consistent with a given pattern. For a given random mountain-valley pattern, the expected number of folded states consistent with the pattern is exponential."}]