自然数在平方根螺线上的有序分布
The ordered distribution of natural numbers on the square root spiral
摘要：
可被相同素因子整除的自然数位于穿过平方根螺旋（也称为西奥多罗斯螺旋或Wurzel Spirale或爱因斯坦螺旋）的定义的螺旋图上。素数也明显地在这样的螺旋图上累积。四，九，十六，二十五，三十六，...形成了一个高度三对称的三个螺旋图系统，它将平方根螺旋分成三个相等的区域。数学分析表明，这些螺旋图定义的二次多项式。斐波那契数列也在平方根螺旋的结构中起作用。斐波那契数将平方根螺旋线划分为具有恒定比例的区域和角度扇区。这些比例与黄金分割（或黄金分割）有关，黄金分割在平方根螺旋的格子状结构中表现为自回避行走常数。
英文摘要：
Natural numbers divisible by the same prime factor lie on defined spiral graphs which are running through the Square Root Spiral (also named as the Spiral of Theodorus or Wurzel Spirale or Einstein Spiral). Prime Numbers also clearly accumulate on such spiral graphs. And the square numbers 4, 9, 16, 25, 36,... form a highly three-symmetrical system of three spiral graphs, which divides the square-root-spiral into three equal areas. A mathematical analysis shows that these spiral graphs are defined by quadratic polynomials. Fibonacci number sequences also play a part in the structure of the Square Root Spiral. Fibonacci Numbers divide the Square Root Spiral into areas and angle sectors with constant proportions. These proportions are linked to the golden mean (or golden section), which behaves as a self-avoiding-walk-constant in the lattice-like structure of the square root spiral.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
