论文标题
边缘平衡，黄金比率，斐波那契序列及其概括
Balancing on the edge, the golden ratio, the Fibonacci sequence and their generalization
论文作者
论文摘要
发现黄金比率和斐波那契数发生在自然界的各个方面。我们在一个有趣的物理问题中讨论了该比率在两个维度上的质量中心的有趣物理问题中的发生。结果证明该结果与对象的特定形状无关。采用的方法自然扩展到更高的维度。这导致与斐波那契序列的黄金比率和概括相似的比率。使用物理问题讨论了这些比率的层次结构，并且随着维度倾向于无穷大的限制。
The golden ratio and Fibonacci numbers are found to occur in various aspects of nature. We discuss the occurrence of this ratio in an interesting physical problem concerning center of masses in two dimensions. The result is shown to be independent of the particular shape of the object. The approach taken extends naturally to higher dimensions. This leads to ratios similar to the golden ratio and generalization of the Fibonacci sequence. The hierarchy of these ratios with dimension and the limit as the dimension tends to infinity is discussed using the physical problem.
