We characterize the cut patterns that can be produced by "orthogonal fold & cut": folding an axis-aligned rectangular sheet of paper along horizontal and vertical creases, and then making a single straight cut (at any angle). Along the way, we solve a handful of related problems: orthogonal fold & punch, 1D fold & cut, signed 1D fold & cut, and 1D interval fold & cut.

翻译：我们刻画了通过“正交折叠与切割”可产生的切割图案：沿水平和垂直折痕折叠一张沿坐标轴对齐的矩形纸张，然后进行一次直线切割（任意角度）。在此过程中，我们解决了一系列相关问题：正交折叠与打孔、一维折叠与切割、带符号的一维折叠与切割，以及一维区间折叠与切割。