Polyomino packing

Updated on (created ) — Filed under: Henry Ernest Dudeney List Paper Ported Puzzle polyomino territory

Packing pentominos, tetrominos and polyominos has indeed a long history, appearing in physical games. It is also part of the broader family of dissection puzzles. Extensive computer searches have resulted in the listing of all known Pentomino Packing configurations for specific shapes.

This implementation does not require all polyominos to be used, since that condition can be enforced by setters simply by choosing the appropriate board size:

  • pentominos: 60 cells
  • tetrominos: 20 cells

In addition, some edges may be given, to provide more control, following an idea used in the "Pentoboxes" puzzle by Benschultz. This makes it a generalisation of pentomino division.

See also: Grantfikes' Polyominous.

loading... puzzle1 loading... puzzle2 loading... puzzle3 loading... puzzle4 loading... puzzle5 2024-12-04 Thanks to Benschultz for making the puzzle that inspired Polyomino packing. 2024-12-07 Thanks to Anurag Sahay for making the rule panels for Polyomino packing! 2024-12-19 PinkHoodie detected a missing panel and managed to craft one to fill the gap - thank you! 2024-12-25 This genre's authorship and information was updated, after research by PinkHoodie, and a bug was corrected - thank you! 2024-12-25 A hex variant plus and a classic Polyomino packing puzzle was made by PinkHoodie for rollout - thank you! 2024-12-27 Two additional Polyomino packing puzzles were made by PinkHoodie for rollout - thank you! 2025-02-11 Encoding Polyomino packing parameter encoding and display was upgraded, so that the parameter now appears in puzzle pictures. Please consider updating your puzzles and pictures.

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