Post #2672393
2026-01-22 18:31 UTC
Similarly, using the exact same set of rectangles in a different layout doesn't feel like it is necessarily that interesting. Is there anything very distinct about these two setups, where it's a pair of 1x2s and a quartet of 2x4s and they're just rearranged a bit?
Which, honestly, I'm not quite ready to declare that there's zero distinction here. But for now let's just say: what I'm most interested in is solutions with different *sets* of rectangles entirely.
Replies (1)
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@joshmillard@mastodon.social 2026-01-22 18:36
This, for example, is what I have in mind: two solutions for n=6 which use different sets of rectangles. (Someone already noted btw that I accidentally showed this right example upthread as an n=7 specimen. Whoops! Should have double-checked my late-night diagramming before posting.) One uses two 1x2s and four 2x4s to make a 6x6 square; the other uses three 1x2s, one 2x4, one 3x6, and one 4x8 to make an 8x8 square. Qualitatively different species!