MORE ON PAPERFOLDING
MORE ON PAPERFOLDING
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有关折纸的更多信息
DOI：
10.1080/00029890.1999.12005003
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发表时间：
1999
影响因子：
0.5
通讯作者：
S. Tabachnikov
中科院分区：
文献类型：
--
作者：
D. Fuchs;S. Tabachnikov
众所周知，折叠一张纸会得到一条直线。我们从对折纸现象的数学解释开始讨论折纸。一张纸的模型是飞机的一部分；折叠是平面一侧与另一侧的等距，褶皱是等距上固定点的曲线（见图1）。表述是，这条曲线是直的，也就是说，曲率为零。
It is a common knowledge that folding a sheet of paper yields a straight line. We start our discussion of paperfolding with a mathematical explanation of this phenomenon. The model for a paper sheet is a piece of the plane; folding is an isometry of the part of the plane on one side of the fold to another, the fold being the curve of fixed points of this isometry (see Figure 1). The statement is that this curve is straight, that is, has zero curvature.