And a million miles away a butterfly flapped its wings

百万英里外，蝴蝶扇动翅膀

On a cold November day a man named Benoit Mandelbrot was born

寒冷的十一月的一天，伯努瓦曼德尔布罗出生

His disdain for pure mathematics and his unique geometrical insights

他蔑视纯数学，他几何见解独特

Left him well equipped to face those demons down

他准备充分，直面恶魔

He saw that infinite complexity could be described by simple rules

他描述无限复杂以简单规则

He used his giant brain and he turned the game around

他的大脑扭转了局面

And he looked below the storm and saw a vision in his head

他看着bào风雨之下，幻象诞生于脑海

A bulbous pointy form

球形尖形

He picked his pencil up and he wrote his secret down

他拿笔，写下自己的秘密

何数在心里对自己说，“它可以用复二次多项式:f_c(z) = z^2 +c来定义……”

Just Take a point called Z in the complex plane

在复杂的平面上取一个叫做Z的点

And Z3 is Z2 squared plus C and so on

Z3是Z2的平方加上C，依此类推

If the series of Z。's will always stay

如果Z系列将永远存在

Close to Z and never trend away

接近Z，永不偏离