Item — HN Reader

In essence, take any line from the center to the edge, and take three copies (giving four in total) rotated by 90 degrees. Provided they don't cross, that's a solution.

And that's one infinite family of solutions, one that I didn't (initially) find.

There are more.

Initially I had 5 actual solutions, and I thought I had them all. Then someone produced this infinite family, and I suddenly had my mind expanded. I've since found what I hope - but have not yet proved - is all solutions.

Can you find any more? You might not care, but that's the challenge. I find it akin to the best sort of programming, except it doesn't, in the end, actually do anything.

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I won't find any more solutions. I will let the program find them, which, given enough time should find every single possible solution.

Any line drawing variant is just the concept I've already outlined expanded.

So I guess my question is: Is the challenge in this finding other ways to generate solutions, even though a method that will generate all possible solutions has already been found?

I must have mis-understood you. The method you have outlined - as I understand it - definitely will not find all solutions, and I don't see how you can think it would.

Perhaps you should explain it again. It seems like you find a squiggly line, rotate it 4 times by 90 degrees, say that's a solution, do it in all possible ways, and claim that's everything.

Have I misunderstood?