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This is an enhanced still frame from my latest set of mathematical animations, which you can watch on Youtube. All of these images were created using the same mathematical function, involving polynomial roots that orbit around a pole. I am currently working on a blog post where I go into detail on how I created these images, and what makes them so interesting. So stay tuned for that!
In this case I attempt to find the roots of our rational function by using Newton's algorithm. Each point in our image is used as the initial guess for our algorithm, and we color that point based on where it eventually converges. Since Newton's algorithm is very sensitive to initial conditions, this gives rise to the fractal edges
You can watch the video here: https://youtu.be/4tmFpQ7Sx14
This work is licensed under Creative Commons BY-SA 4.0
https://creativecommons.org/licenses/by-sa/4.0/
In this case I attempt to find the roots of our rational function by using Newton's algorithm. Each point in our image is used as the initial guess for our algorithm, and we color that point based on where it eventually converges. Since Newton's algorithm is very sensitive to initial conditions, this gives rise to the fractal edges
You can watch the video here: https://youtu.be/4tmFpQ7Sx14
This work is licensed under Creative Commons BY-SA 4.0
https://creativecommons.org/licenses/by-sa/4.0/
Category Artwork (Digital) / Abstract
Species Unspecified / Any
Size 1280 x 720px
File Size 188.8 kB
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