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、神秘的形，也就是人类。

Fractal geometry is currently applied in many fields.

形目前在许领域都有应用。

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

没什么 我就想了下 现在 我在想形方程。

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.

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

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，你会得到一个形，也就是谢尔宾斯基角形。

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《英国的海岸有长？》中，曼德布洛特解释了用于测量英国海岸的形概念。

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——形的无限可视效果。

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.

这也是为什么乎不可能就任国家的海岸长度达成共识，因为每个大陆都是不规则的形状，就像形艺术一样。

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

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。

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

但在数学中可以找到一个类似的概念，叫做形。

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形，当你放大时，你会发现它由数十亿个星系组成。

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

自然界中形的一个经典例子是西兰花——整个茎是它的一个支的相似版本。

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·曼德布洛特提出了形和的概念，他的著作对这一概念进行了更好的解释。

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

在数学中，这是因为形的概念。

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，而形理论为解释大自然为如此运作提供了一个有趣的解释。

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，由于形的高度复杂和神秘的性质，形的最大用途尚未被发现。

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

所以汤姆穿了一件所谓的形服装。

So to me, citizen is being a fractal of belonging to this species, right?

因此，对我而言，“公民”意味着成为这个物种归属感的形体现，对吧？

From the breath to the fractal patterns of nature.

从呼吸到自然界的形图案。

Like, fractals are very strange because there's something about them that resonates with you.

就像形非常奇怪一样，因为它们身上有些东西会让你产生共鸣。