In this paper, we provide an analysis on the partial overlapping order problem in a strip, i.e., whether a given partial order involving only part of the squares of the strip corresponds to a valid flat-folded state of the strip or not. On the contrary to the general intractability of partial orders, we investigated the partial orders onto some particular sets to obtain tractable results. To rapidly get access to the solution, our methodology is based on the abstracted visualized folded states rather than a mathematical explanation by matrix. In conclusion, a strip having at least three disordered squares aligning on the strip between any two of its ordered squares always corresponds to a final flat-folded state.
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