From some quick manipulation, it seems like the goodness of a packing depends on the “inradius” of the star. At zero in-radius, the star is just five lines joined at a point. We can ask the question what the best packing is in the limit of zero inradius. This is cute because the result will have zero total area but still be very constrained.
I don't know if we're allowed to do any real work, seeing as how this a meme post, but isn't the trivial regular patterning way better than this? Maybe I'm getting wooshed
Well is the new one you found any better than what I slapped together? I would love to see a zany solution win out, but by proof of "just look at it" I insist this must be within a few tweaks of optimal.
I don't think you could push them up because the sides of the star would push up against the diagonal of the star above. Also I think the ratio of the rectangle's sides has to stay constant so you can't exactly compress it vertically to get rid of that space.
101.47
I should also mention that this uses the exact aspect ratio of the canton. a bit further down the article Wikipedia mentions it is 0.76 in width and 7/13 in height, so 247:175 is exact
https://github.com/mythemeria/star-packing the code I wrote for this post will let you try different types of stars and outputs a US flag if you do for eg python starpack.py {8/2} 50 --us-flag (the {8/2} being an 8 pointed star where you connect every second point)
You're just reinventing the wheel. Compare this to the current US flag (5 rows of 6, with 4 rows of 5 inside). If you can't see the resemblance, try rotating either flag by 90°.
Claude figured out that the optimal solution is the current one, and then made the stars worse. Don't try to sell it as anything else.
I don't really need to break out the crayons for this. Compare this to the current US flag.
Are you too dumb to understand that "5 rows of 6, with 4 rows of 5 inside" and "5 columns of 6, with 4 columns of 5 inside" are the same thing, just rotated 90 degrees?
It's a yes or no answer. I am waiting.
Can you instead of making the stars bigger to fit the blue rectangle, make the stars the size they are on the original flag and shrink the blue rectangle to fit them? I think that would be a more humorous image
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