But there is a similar concept that can be found in mathematics called fractals.

在数学中可以找到一个类似的概念，叫做分形。

In mathematics, this is because of a concept known as fractals.

在数学中，这是因为分形的概念。

Fractal geometry is currently applied in many fields.

分形几何目前在许多领域都有应用。

That's all. I've just been thinking about it. Now, I'm thinking about fractal equations.

没什么 我就想下 现在 我在想分形方程。

The term fractal was coined by Benoit Mandelbrot who was working at computer giant IBM in 1980.

分形一词是 1980 年在计算机巨头 IBM 工作的伯努瓦·曼德勃罗创造的。

When we could not grasp being mere fractals in one collective being.

当我们无法理解自己只是一个集体存在中的分形时。

This would become known as the Mandelbrot set — an infinite geometrical visualisation of a fractal.

这就是所周知的曼德勃罗集合——分形的无限几何可视效果。

So Tom wore what's known as a fractal suit.

所以汤姆穿着所谓的分形套装。

Some believe that, due to their highly complex and mysterious nature, the greatest use of fractals is yet to be discovered.

一些人认为，由于分形的高度复杂和神秘的性质，分形的最大用途尚未被发现。

Fractals are used in, like, everything from predicting natural disasters to metallurgy.

分形体能被用于...万事万物从预测自然灾害到冶金术。

It's often said that no two snowflakes are ever the same and fractals offer a fascinating explanation as to why nature works in this way.

人们常说，没有两片雪花是完全相同的，而分形理论为解释大自然为何如此运作一个有趣的解释。

As a matter of fractal, who'd want to flake out on a chance to branch out and capture some frozen flake-tography.

作为一个分形问题，谁会想抓住机会分支并捕获一些冻结的片状图。

It doesn't look like much when the triangle's small, but if you add thousands of rows, you get a fractal known as Sierpinski's Triangle.

当三角形还小，你还看不出什么。不过如果你加上成千上万行，你会得到一个分形，也就是谢尔宾斯基三角形。

In his 1967 paper titled " How long is the coast of Britain? " Mandelbrot explains the concept of fractals applied to measuring the coast of Britain.

在他 1967 年的论文《英国的海岸线有多长？》中，曼德布洛特解释用于测量英国海岸的分形概念。

A classic example of a fractal in nature is broccoli — in that the whole stalk is a similar version of one of its branches.

自然界中分形的一个经典例子是西兰花——整个茎是它的一个分支的相似版本。

This concept was even better explained a decade later in the 1960s by the works of the brilliant mathematician Benoit Mandelbrot, who developed the concept of fractals and geometry.

十年后的 20 世纪 60 年代，杰出的数学家伯努瓦·曼德布洛特出分形和几何的概念，他的著作对这一概念进行更好的解释。

It's even believed by some that the universe itself may be a fractal and as you zoomed in you would discover it's made up of billions of galaxies.

有些人甚至认为宇宙本身可能是一个分形，当你放大时，你会发现它由数十亿个星系组成。

One of the main properties in geometric fractals is their self-similarity, meaning that no matter how closely you continue to focus on them, the same general shape continues to appear throughout.

几何分形的一个主要特性是它们的自相似性，这表明无论你如何近地关注它们，相同的一般形状都会继续出现在整个过程中。

And it's also why it's pretty much impossible to ever come to a consensus on the length of any country's coastline because every landmass is irregularly shaped like fractals art.

这也是为什么几乎不可能就任何国家的海岸线长度达成共识，因为每个大陆都是不规则的形状，就像分形艺术一样。

For 2021's " No Way Home, " Tom wore what's known as a fractal suit, an upgrade that fine-tuned and tracked the movement even more than regular mo-cap tracking suits.

在 2021 年的“无路可归”中，汤姆穿着所谓的分形套装，这是一种升级版，它比普通的动作捕捉套装更能微调和跟踪动作。