Post #2672395
2026-01-22 18:38 UTC
Reiterating: the actual numeric values don't matter -- I am descrbing those two n=6 solutions above as filling a 6x6 and an 8x8 square respectively, but that's just for notational convenience: I'd rather describe the smallest rectangle as 1x2 in both cases than as 1/6x1/3 in one case and 1/8x1/4 in the other. It's all just proportions and we're breaking toward readability here.
Replies (1)
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@joshmillard@mastodon.social 2026-01-22 18:41
So how many ways ARE there to solve n=6 with distinct sets of rectangles? Are these two it, or are there more? How about 7? 8? And how can we prove that we've exhausted all the possibilities? I cannot emphasize how much I do not know the answer to any of those questions. We are done with the "saying things I've already satisfied myself about" part of the discussion, now it's just mucking around and seeing what we notice. So!