We characterize the shapes that can be produced by "orthogonal fold & cut": folding a 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:我们描述可以用“ 圆折叠和切开” 生成的形状: 沿水平和垂直折叠折叠一张长方形纸, 然后在任何角度进行单直切。 沿着这条路, 我们解决了几个相关的问题: 矩折叠和拳、 1D 折叠和切开、 签名 1D 折叠和切开, 以及 1D 折叠和切开 。