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I looked at all linked articles and could not find an example of the points (they show a square grid of points with n~=100 but no other ordering of points to show the more optimal layout(s)).

Is there anywhere an image example of a superior layout for example with n>={100,1000,10000}..? I would love to see it. I am imagining it would look somewhat like a sloppy pizza.

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One of the authors said in a reddit comment (and I hope I am summarizing accurately) that it's impossible to show a diagram as the smallest instance of the technique gives like 10^1000000 points.

That was for this particular technique, but the comment suggested that a similar construction can (but is unproven) to beat erdos and at least gives some flavor of what this looks like

https://x.com/i/status/2057490144546927046

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