This is the twelfth installment of the Fortnightly Topic Challenges Rerun described here and the fifty-second installment of the FTCs overall, with topics suggested and voted on here. This fortnight's topic is "Polyominoes" (suggested by Bubbler) and will span from the 21st of March to the 3rd of April. During this period, we will compile the list of relevant questions and post it as an answer to this question.
In the meantime, please go and propose and vote on future challenges!
Everyone have fun, and happy puzzling!
Link to other Fortnightly Topic Challenges.
The suggestion is copied to this post for posterity.
polyomino often goes with other tags, such as
- tiling, as in Tiling with T-tetrominos in gravity
- combinatorics (which is also often combined with tiling), as in L-tromino pair!
- grid-deduction as a genre mashup, as in Tetronogram or Tetromino minesweeper
- sometimes board-games, as in What is the minimum-sized Blokus board which can contain all pieces?
but may also be a successful puzzle by itself, as in Polyominoes to construct alphabet.
Polyomino is a long-time subject of recreational mathematics, and its properties can be used for grid deductions in many creative ways. So the challenge is to create a puzzle related to polyominoes in a creative way. Of course it does not need to be polyominoes made of squares; it can be polyiamonds (made of triangles) or polyhexes (made of hexagons) too!