论文标题

正交褶皱和切割

Orthogonal Fold & Cut

论文作者

Ani, Hayashi, Brunner, Josh, Demaine, Erik D., Demaine, Martin L., Hendrickson, Dylan, Luo, Victor, Madhukara, Rachana

论文摘要

我们表征了可以通过“正交折叠和切割”产生的切割图案:沿水平和垂直折痕折叠轴线对准的矩形纸张纸,然后进行单个直线切割(任何角度)。在此过程中,我们解决了一些相关问题:正交折叠和打孔,1D折叠和切割,签名的1D折叠&切割以及1D间隔折叠和切割。

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.

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