English

How big a table do you need for your jigsaw puzzle?

History and Overview 2023-12-11 v1 Popular Physics

Abstract

Jigsaw puzzles are typically labeled with their finished area and number of pieces. With this information, is it possible to estimate the area required to lay each piece flat before assembly? We derive a simple formula based on two-dimensional circular packing and show that the unassembled puzzle area is 3\sqrt{3} times the assembled puzzle area, independent of the number of pieces. We perform measurements on 9 puzzles ranging from 333 cm2^2 (9 pieces) to 6798 cm2^2 (2000 pieces) and show that the formula accurately predicts realistic assembly scenarios.

Cite

@article{arxiv.2312.04588,
  title  = {How big a table do you need for your jigsaw puzzle?},
  author = {Madeleine Bonsma-Fisher and Kent Bonsma-Fisher},
  journal= {arXiv preprint arXiv:2312.04588},
  year   = {2023}
}
R2 v1 2026-06-28T13:44:23.666Z