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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 ?
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.
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.
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.
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.
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.
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.