# Mandelbrot Set: Code for High-Resolution Image to Zoom In

• Python
• Arman777
In summary, there is an algorithm for building the mandelbrot set in different programming languages, with varying keystrokes and commands. A quick google search for "mandelbrot python" yields many results. The speaker also mentions creating a program in Matlab that takes 15 seconds to draw the set. They also refer to a website for more information on the topic.

#### Arman777

Gold Member
Is there a code for the mandelbrot set that creates an image with an high resolution so that we can zoom and see the fractal over and over again ?

There is an algorithm that builds the mandelbrot set, but the actual keystrokes and commands are different in various programming languages. Look up 'how to make the mandelbrot set in X language', where X is your programming language of choice.

Thanks for the memory. I wrote several such programs in the 80s and had great fun watching them evolve on the screen. It took about 15 minutes per frame, and it was one of the rare cases when slower computers were more fun than fast ones.

A quick google search of "mandelbrot python" returned many hits.

Drakkith
anorlunda said:
Thanks for the memory. I wrote several such programs in the 80s and had great fun watching them evolve on the screen. It took about 15 minutes per frame, and it was one of the rare cases when slower computers were more fun than fast ones.

A quick google search of "mandelbrot python" returned many hits.

I made a small program in Matlab a few months ago that drew the Mandelbrot set. It took about 15 seconds. To make 5 frames.

Okay I manage to do it.

berkeman

## 1. What is the Mandelbrot Set?

The Mandelbrot Set is a mathematical set of complex numbers that exhibits a repeating pattern when iteratively computed. It is named after mathematician Benoit Mandelbrot who first studied and popularized it in the 1970s.

## 2. How is the Mandelbrot Set coded for high-resolution images?

The Mandelbrot Set is coded using complex numbers and iterative functions that determine the color of each pixel in the image. The code calculates the behavior of each point in the complex plane and assigns a color based on how quickly the computation diverges or converges.

## 3. Why is the Mandelbrot Set often referred to as the "thumbprint of God"?

The Mandelbrot Set has been described as a visual representation of the complexity and beauty of the natural world, leading to its nickname as the "thumbprint of God". Its intricate and infinitely complex patterns have captivated mathematicians and non-mathematicians alike.

## 4. How can the Mandelbrot Set be used for scientific research?

The Mandelbrot Set has applications in various fields of science, such as physics, engineering, and biology. It can be used to model natural phenomena, analyze chaotic systems, and study fractal geometry. It also has practical applications in data compression and encryption.

## 5. Is the Mandelbrot Set purely a mathematical concept or does it have real-world significance?

The Mandelbrot Set is both a mathematical concept and a real-world phenomenon. It exists as a mathematical set, but its patterns can also be observed in nature, such as in the branching of trees, the formation of coastlines, and the structure of galaxies. It has also been used in the creation of art and music, further blurring the line between mathematics and the real world.