Fractal geometry is currently applied in many fields.

分形几何目前许多领域都有应用。

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

学中，这是因为分形的概念。

I am that still magical, mystical, fractal of universal consciousness known as human being.

我还是那个宇宙意识的神奇、神秘的分形，也就是人类。

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

学中可以找到一个类似的概念，叫做分形。

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

没什 我就想了下 现 我想分形方程。

Still... one pressing question is why we get  fractals at all?

不过… … 一个紧迫的问题是为什我们会得到分形？

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中的分形时。

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

这就是众所周知的曼德勃罗集合——分形的无限几何可视效果。

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

分形一词是 1980 年计算机巨头 IBM 工作的伯努瓦·曼德勃罗创造的。

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

所以汤姆穿着所谓的分形套装。

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。

A better name might be something like " space-filling fractal, " which some people do use.

更好的名字可能是“空间填充分形”，有些人确实使用过。

The main takeaway for this particular  section is the link between the chaos and the fractal.

这个特定部分的主要内容是混沌和分形之间的联系。

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。

What you end up with is a kind of fractal pattern, where communities themselves function like individuals.

你最终得到的是一种分形图案，其中社区本身像个人一样发挥作用。

Fractals are common throughout nature, for example in the shapes of mountain peaks or the branches of trees.

分形整个自然界中都很常见，例如山顶或树枝的形状。

Today we know this is called fractals in mathematics, and da Vinci had similar thoughts at the time.

今天我们知道这学中被称为分形，达芬奇当时也有类似的想法。

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。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。

You'll often hear or read the images on the right being referred to  as " Julia sets" or " Julia fractals" .

您经常会听到或读到右侧的图像被称为“Julia 集”或“Julia 分形”。