Polyominous

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Rules

Pentominous Example.png Pentominous Example Solution.png

Divide the grid into set of given polyominoes such that every cell in the grid is part of exactly one polyomino. Polyminoes of the same shape (rotations and reflections of a polyomino count as the same shape) cannot touch each other along an edge (but they may touch diagonally). Some letters are given in the grid. Each letter must be part of a polyomino with that letter’s shape. It is permissible for a polyomino to contain more than one letter. (It is possible for some polyomino shapes to never appear in the grid, or more than once.) The letter-to-shape correspondence for polyominoes has been supplied for you.

(Rules (modified) and example (using Pentominoes) from PGP IB)

Rule variations

  • Most of the puzzles appears as either Pentominous (using 12 pentominoes) or Tetrominous/LITSO (5 tetrominoes).
  • Borders can be given as hints.
  • Pentominous Nontouching: Appeared on WPC 2019/Round 10. Congruent regions don't touch each other even diagonally.

History of the puzzle

First appeared on GM Puzzles in 2013. Invented by Grant Fikes (USA) as a variant of Fillomino.

Polyominous was originally the name Fikes gave to Fillomino in his blog.

Variants

Second Seen

Tetrominous Second Seen Example.png Tetrominous Second Seen Example Solution.png

Probably first appeared on WPC 2018/Round 8, written by by Petr Vejchoda (Czech Rep.). Hybrid with Easy as clues. Somehow it was named "Tetrominoes End View" though the clues were referencing second tetromino.

Additional rules: Some letters are given outside the grid. Each of those letters represents the second tetromino that can be seen in the respective row or column from the respective direction.

(Rules and example from PGP IB)

Appearances in the past WPCs