Fibonacci Rectangles
历史与综述
2007-05-23 v1
摘要
Is there any other proportion for a rectangle, other than the Golden Proportion, that will allow the process of cutting off successive squares to produce an infinite paving of the original rectangle by squares of different sizes? The answer is: No. The only proportion that allows this pattern is the Golden Ratio. Two proofs are given.
引用
@article{arxiv.math/0405048,
title = {Fibonacci Rectangles},
author = {Louis H. Kauffman},
journal= {arXiv preprint arXiv:math/0405048},
year = {2007}
}
备注
7 pages, 3 figures, LaTeX document