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!
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1It looks like a network plot. There are many nodes on the perimeter and the color curves are the links between nodes. A computer visualization program can plot them. – Yan King Yin Jul 23 '15 at 05:19
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4Yes, that circles with a lot of internal arcs look cool. Also it represents the duality of man and the futility of human endeavor. – Asaf Karagila Jul 23 '15 at 05:26
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Where did this image come from? The context could be helpful, and anyway, sources should be credited. – Nate Eldredge Jul 23 '15 at 05:49
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@NateEldredge My friend sent it to me >_< I don't know where he got it. – Conor O'Brien Jul 23 '15 at 12:25
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I found this for you. I searched for this thread. This video has the answer for your question https://www.youtube.com/watch?v=NPoj8lk9Fo4 – IrbidMath Jul 24 '15 at 09:12
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I strongly disagree with the close vote. I found the following in the help center: "Solving mathematical puzzles" is on-topic. This indeed was a mathematical puzzle to me, so I wonder: Was this help center topic overlooked by all five users? – Conor O'Brien Jul 24 '15 at 20:00
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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".
joriki
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Fractal-like, meaning, it is reminiscent of a fractal for me, not necessarily a fractal. – Conor O'Brien Jul 23 '15 at 12:24
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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).