2022/02/02 by Joshua Ani, Ani, Hayashi, Josh Brunner +11
Computer Science · Engineering · #Advanced Materials and Mechanics #Computational Geometry (cs.CG) #Computational Geometry and Mesh Generation #FOS: Computer and information sciences #FOS: Mathematics #Material Properties and Processing #Metric Geometry (math.MG)
paper · pdf · doi:10.48550/arxiv.2202.01293
openalex publication_date 2022/02/02 · openalex created_date 2022/07/27 · openalex updated_date 2026/07/28
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.