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MathThatChecksOut t1_ja7o2w3 wrote

Reply to comment by Oh_Tassos in [OC] A graphical visualisation of the answer to a problem from the Greek Mathematics Olympiad (*sort of) by Oh_Tassos

So what is actually visualized here? You have described a number theory problem and presented a colorful visual but it's not immediately clear how they are related.

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Oh_Tassos OP t1_ja7ogku wrote

Ah yes, you're right. I got carried away explaining the context that I forgot to mention what we're actually seeing.

Basically you have this line that's counting non-negative integers, starting from 0, and every time it encounters a number from this problem (let's say 225) it makes a 90*n degree turn (in the case of 225, where n = 2, it'd be a 180 degree turn).

This doesn't hold any inherent meaning, it just creates a pretty visual. You are right that I entirely forgot to explain that part though.

Edit: the start is at the purple zone in the bottom right corner

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nankainamizuhana t1_ja7yh0d wrote

So the intent, I assume, was to quickly visualize if there were a finite number of corners or a repeated pattern?

I'm quite curious about the large yellow vertical line. I can't decide whether it's more reasonable that the line is a large swath of integers with no perfect squares containing 2 or 5; or a large swath where all such perfect squares are of the form n=4m+2.

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Oh_Tassos OP t1_ja7z72s wrote

It's the former, the difference between 1,530,609,129 and 1,499,470,729 which is equal to 31,138,400. That's way larger than any other numbers until that point. You can see this anomaly more clearly in the graph I linked near the end of my initial comment.

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