2023-12-12 01:25 UTC
Replies (3)
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@mbonsma@mastodon.social 2023-12-12 01:27
We built 9 puzzles across a variety of total sizes and with piece numbers ranging from 9 to 2000. We laid out all the pieces flat, trying to be realistic by not paying much attention to how they were arranged and not spending time trying to get them closer together.
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@TomSwirly@toot.community 2023-12-12 09:35
@mbonsma@mastodon.social I saw the initial claim, disagreed, came here, this is the key point. You have some nice, orderly definition of jigsaw pieces which you haven't explicated in this thread which does not allow for topologically complicated pieces. For example, what if many piece have thin "tendrils" which are as long and as wide as the whole puzzle? (I won't even go into what might be possible with jigsaw pieces that aren't measurable sets, see the Banach-Tarski paradox!)
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@kbob@chaos.social 2023-12-18 05:22
@mbonsma@mastodon.social Great research! Tonight I felt like doing a jigsaw, so I did some research of my own with a puzzle with nontraditional piece shapes. Here's a Geode puzzle from Nervous System. Unassembled, the pieces are loosely packed into rectangle about 27✕30cm. Area 810 cm². Assembled, it's roughly a circle of diameter 21cm. Area 346cm². Ratio: 2.34. Do with that whatever you want. But do try a Nervous System puzzle. They're different!