黄金分割与物理学联系

The Relationship Between Golden Section Proportion and Physics

黄金分割比是自然界最常见的物质分配与物质构成的比例之一，是物质世界的一个重要规律，可以用一个连分数有理逼近它。Penrose拼图中两个四边形边长的比值，Penrose拼图启发下发现的准晶态AIMn合金的三维准晶态准周期序列，以及保守系中物质运动的混沌现象都与黄金分割比有关。

Golden section proportion is one of the most common kinds of proportion of matter distribution and structure in nature. As an important law in the physical world, the proportion can be approached rationally by a continued fraction. Golden section is not only a common mathematical proportion, it appears frequently in the law of physics as well. The proportion of two quadrangular sides in the pieced Penrose pictures, the arrays of three dimensional quasi-crystal＇s almost-periods of the quasi-crystal AIM alloy discovered under the inspiration of Penrose pictures pieced together, and the chaos phenomenon of matter movement in the conservative system are all good examples.