So similar, in fact, that it eventually converges on the golden ratio.

如此相似，事实上，它最终收敛于黄金比例。

These are all forms of the golden ratio.

其中都蕴含黄金分割的比例。

How many of you have heard of the golden ratio?

你们中的多少人听说过黄金比例?

Dang, and with a 16: 10 golden ratio display, it feels like I'm really there.

该死的，还有 16: 10 的黄金比例显示，感觉就像我真的在那里。

I love my sister more than I love the golden ratio, which is-- it's a lot.

我爱我姐姐胜过黄金比率 我很爱她。

I was able to reduce what I had to find from an eighth-degree polynomial to a quadratic, and from the quadratic, the golden ratio fell out.

我可以把我的答案从八次方多项式简化成二次方程，然后从二次方程中得出黄金分割率。

Cleo provided no notes, no proof, no explanation — just a single hyperlink over the symbol for the golden ratio, which takes you to a definition of the golden ratio. Oof.

克利奥没有提供注释、证明和解释，只是在黄金分割率的符号上做了一个超链接，点击后便跳转到黄金分割率的定义。老天。

Cleo provided no notes, no proof, no explanation—just a single hyperlink over the symbol for the golden ratio, which takes you to a definition of the golden ratio.

Cleo 没有提供任何注释、证据或解释——只是在黄金比例符号上提供了一个超链接，它将带您进入黄金比例的定义。