Post #2672401
2026-01-22 19:05 UTC
More specifically, that transformation works if we treat the source square as 6x6 if we want the new rectangles to have nice integer values for their side lengths. But it's all just proportional.
We can do a similar idea with more rectangles that have a different proportion: for this example consider the square 7x7, and we see a collection of new 1x2 and 2x4 rectangles creating a DIFFERENT frame.
Replies (1)
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@joshmillard@mastodon.social 2026-01-22 19:17
And, in fact, we can think of this as an infinite family of transformations: it's easy enough to rearrange and extend those last two examples so that we have four specimens for 6x6, 7x7, 8x8, and 9x9 squares each doing a somewhat similar framing move...