This image here shows a beautiful fractal-like image. Does this map some sort of function, each number corresponding to a section/colour? Or is this just pretty art? Thanks!
closed as off-topic by Mark Viola, Zain Patel, vonbrand, Daniel, user99914 Jul 23 '15 at 18:21
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is not about mathematics, within the scope defined in the help center." – Mark Viola, Zain Patel, Community
This image represents the progression of the first $10,000$ digits of $\pi$, and was produced by Cristian Ilies Vasile using the software Circos (or so a Google search tells me).
To elaborate on this, since $\pi$ begins $3.14159\ldots$, you would begin to form this image by first adding an edge/arc from $3$ to $1$, then $1$ to $4$, then $4$ to $1$, and so on.
You can see this image as related to the question of if $\pi$ is a normal number, which is still unknown. Roughly speaking, a number is normal if it's digit progressions of all lengths are 'random,' in the sense that all finite digit progressions of a given length occur with equal frequency. For this image, that would mean that there are a roughly equal number of edges leading from any one node to any other node (and also from any node to itself, but I don't see those edges drawn).
The method used to generate this image using the digits of $\pi$ is described here.
I disagree with your characterization of the image as "fractal-like".