  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.

Computational Geometry;Metric Geometry