论文标题
将债券笔记本页面折叠到书签的最佳方法
The optimal way of folding a bond notebook page into a bookmark
论文作者
论文摘要
本文探讨了一个简单但有趣的几何问题:如何折叠笔记本页面,因此当笔记本电脑关闭时,它是最可见的(即作为书签)。我们从平方页开始,然后进入矩形页面。当添加附加约束以限制矩形页面的垂直范围时,该问题显示了一阶相变:当页面的长宽比超过约1.20711 $的临界值时,折叠的最佳方法发生了巨大变化。
The article explores a simple yet interesting geometric problem: how to fold a notebook page so it is the most visible when the notebook is closed (i.e., as a bookmark). We start with a square page, then proceed to the rectangular page. When an additional constraint is added to limit the vertical extent of the rectangular page, the problem shows the first-order phase transition: the optimal way of folding changes drastically when the aspect ratio of the page exceeds the critical value of about $1.20711$.