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Here are 3 simple tiling puzzles. A 5x5 square is tiled with 5 pieces, one a single sub square, the other 4 each made of 6 sub squares. The single piece has been omitted so the tiled square has a missing piece.
The four pieces of puzzle 1 are all the same. It can only be solved if the missing square is at the center. Not hard, it has a pleasing four fold symmetry.
Puzzle 2 has 4 different pieces. It can only be solved if the missing piece is at the center and is a bit harder.
Puzzle 3 also has four different pieces. It has multiple solutions; the missing piece can be a corner one, at the middle of an edge, one position diagonally moved in from a corner, or at the center. It can take a few minutes to find all four solutions.
OpenSCAD construction and viewing programs are included.
Print Settings
Printer Brand:
MakerBot
Printer:
Rafts:
Yes
Resolution:
0.3 mm
Notes:
The puzzles print quickly at draft resolution. To reduce confusion it is probably best to print them in different colors.
Notes
While working on these puzzles I received a letter from D Moews that described a general search for the above tiling problem. Files included with the letter summarized and listed the results. Puzzle 1 is line 4 in answers-by-counts, puzzle 2 is line 40, and puzzle 3 line 2412.
There are 2472 sets of four 6 piece tiles, plus a single sub square, which will tile the 5x5 square. The image below shows the first 8 sets of possible tiling pieces.
An edited version of D Moews's letter, "Tilings of a 5x5 square.txt", and the summary lists are included. The lists can be used to construct more puzzles; directions for how to do so are included in make_puzzles.scad.