Post by @mbonsma@mastodon.social

2023-12-12 01:24 UTC

This work was a pandemic collaboration between me and the brilliant Kent Bonsma-Fisher, with assistance from our toddler and cat. The result, in his words, was "the cleanest dataset I have ever collected." Today our results are public on #arXiv!

Replies (4)

@mbonsma@mastodon.social 2023-12-12 01:24

TL;DR: an unassembled jigsaw puzzle takes up an area that is the square root of 3 times the area of the assembled puzzle, or about 1.7 times the assembled area. This is *independent of the number of pieces*.

Open ##2960581
@samurai@mathstodon.xyz 2023-12-12 03:11

@mbonsma@mastodon.social all great work, but I need to know the answer for if you have a toddler and three cats! I guess that’s in the future works section.

Open ##4188514
@stephanwehner@mastodon.social 2023-12-15 00:15

@mbonsma@mastodon.social as an assembled puzzle can be taken apart along more or less straight lines, to obtain smaller puzzles, while the unassembled piles should add up to close to the original area, you would/should have some recurrence in your formula. So f(a+b) ~ f(a) + f(b). Indeed your formula is linear

Open ##4188516
@lensandpedals@ohai.social 2023-12-30 12:13

@mbonsma@mastodon.social on first glance I thought I saw an elephant here.

Open ##4188517