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woah • today at 4:13 PM • 4 replies • view on HN

Can someone explain why 83 and 87 can't get any smaller?


Replies

entropicdrifter • today at 4:33 PM

Because the outer perimeter must be a square. 83 and 87 could shrink the outer perimeter in one dimension, but not in both at the same time.

sheept • today at 4:49 PM

It is possible they can; it’s not yet proven that the listed packings for 83 and 87 are optimal.

danbruc • today at 4:29 PM

Which of the blocks do you think you could move to shrink the solution? Or are you thinking of a completely different arrangement?

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nemomarx • today at 4:28 PM

They got updated to be smaller this year, so maybe there's still more gains to be had?