Shape Division
Rules[edit]
Divide the shape into the indicated number of congruent parts along the grid lines. (Congruent parts have the same shape and size but may be rotated and/or reflected.)
(Rules and example from PGP IB)
Rule variations[edit]
- Diagonal lines are allowed.
- Mirrored images are not allowed.
- Each shape contains a given set of symbols.
- Shape to dissect into is already given.
- Diagonal Dissection from WPC 2013: the shape consists of cells connected by edge or diagonally.
History of the puzzle[edit]
One of the most well-known mathematical puzzles. "Crowns and Lions" is a 4-piece Shape Division puzzle with two symbols (rule variation #3) by Henry Ernest Dudeney (USA), first published in The Canterbury Puzzles in 1907.
Appearances in the past WPCs[edit]
- WPC 2019/Round 9 by Ulrich Voigt
- WPC 2017/Round 5 (Irregular grid) by Rohan Rao
- WPC 2017/Round 17 ("Optimizer") by Amit Sowani
- WPC 2016/Round 2 by Matej Uher
- WPC 2013/Part 10
- WPC 2011/Part 2
- WPC 2011/Part 11
- WPC 2011/Part 13 (Similar Dissection)