The Mandelbrot set, which is most commonly represented by the above illustration, provides a way of understanding roughness in the world around us.

上图是曼德布洛特集最常见的表现形式，它给我们提供了一种理解周围世界的粗糙程度的方式。

The Mandelbrot set is named after the mathematician Benoît Mandelbrot.

曼德布罗特集以数学家伯努瓦·曼德布罗特命名。

Studying the Mandelbrot set can help us understand complex systems.

研究曼德布罗特集可以帮助我们理解复杂系统。

Many artists are inspired by the patterns in the Mandelbrot set.

许多艺术家受到曼德布罗特集图案的启发。

The beauty of the Mandelbrot set lies in its infinite complexity.

曼德布罗特集的美在于其无限的复杂性。

The Mandelbrot set is a famous example of a fractal in mathematics.

曼德布罗特集是数学中著名的分形例子。

Both vegetables and quadratic polynomials are made more interesting with the Mandelbrot set.

有了曼德尔勃特集合，蔬菜和二次多项式都变得有趣多了。

The internal structures images of the general Mandelbrot sets for positive integer index number are symmetry and fractal.

将这两种方法进行了推广，给出了一系列正实数阶广义M集的内部结构图。

Graphic designers have lots of fun with the Mandelbrot set. There are several fractal geometry software programs available for download.

曼德尔勃特集合给图像设计师带来了许多乐趣。这里有几个可供下载的分形几何软件。

Both vegetables and quadratic polynomials are made more interesting with the Mandelbrot set. The formula explains the repeating complexity of broccoli heads like this one.

有了曼德尔勃特集合，蔬菜和二次多项式都变得有趣多了。这个方程式表现了类似图中的花椰菜菜籽的重复的复杂性。