Pentomino Division

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Pentomino Division Example.png Pentomino Division Example Solution.png

Divide the grid into N different pentominoes. (Usually N = 12)

(Example from WPC 2018 IB, N = 4)

Rule variations[edit]

  • Pentomino Puddles: This name is often given when there are multiple grids to dissect.
  • Sometimes reflections are not allowed.
  • Dissected pentominoes contain given set of symbols.
  • Given letters are contained in pentominoes designated by that letter.

History of the puzzle[edit]

Fitting 12 pentominoes and a 2x2 square into 8x8 square was the first recorded pentomino puzzle, published by Henry Ernest Dudeney (USA) in 1907. The name pentomino was given by Solomon Golomb in 1953.[1]

This puzzle is the special version of more general classification, dissection puzzles.


Coded Dissection[edit]

Coded Dissection Example.png Coded Dissection Example Solution.png

Boglár Major's (Hungary) set from the 8th 24-Hour Puzzle Championship contains one example of this puzzle that uses 7 tetrominoes. It is likely that the invention of this puzzle predates this.

Divide the grid into different pentominoes. The numbers next to rows and columns indicate the lengths of the individual pentomino segments in the given row/column. They are in increasing order.

(Rules and example from WPC 2018 IB)

Appearances in the WPC[edit]