论文标题
为什么相同的钥匙可以打开不同的挂锁？
Why the same key can open different padlocks?
论文作者
论文摘要
我们意外地观察到一个钥匙可以打开不同品牌的两个挂锁。基于此观察结果，我们得出了方程式来估计可以产生的不同挂锁的数量。我们专注于通常在大多数家庭中使用的简单挂锁。它由矩形的金属块制成，并在任何位置制成。不同的钥匙具有不同的尺寸和位置（孔）和解开（山丘）部分。我们将研究限制为最多有四个孔的挂锁。这是家庭挂锁的典型架构。我们观察到不同的挂锁的数量取决于孔和山丘的最小尺寸。我们还观察到可以用孔或丘陵大小产生的不同挂锁数量之间的缩放关系。
We accidentally observed that one key can open two padlocks from different brands. Based on this observation, here we derived equations to estimate the number of different padlocks that can be produced. We focus on simple padlocks that are usually used in most households. It is made of a rectangular block of metal and crafted at any position. Different keys have different sizes and positions of the crafting (hole) and un-crafting (hill) portions. We limit the study to only padlocks having a maximum of four holes. This is the typical architecture of household padlocks. We observed that the number of different padlocks depends on the minimum size of the holes and hills. We also observe a scaling relationship between the number of different padlocks that can be produced with the size of holes or hills.
