--------------------------------------------------------------- Jean-Charles Meyrignac's dissection question on Mathpuzzle: I did a complete search using up to four pieces but was forced to limit pieces to size 13 due to lack of a program quick enough to generate bigger polyominos. There is only one solution with that limitation, but it's a nice one, all pieces congruent: Patrick Hamlyn (1) ---------------------------------------------------------------- Michael Reid (6) ---------------------------------------------------------------- This one was easy! Bob Kraus (5, 9) ---------------------------------------------------------------- Hi Ed, Great selection of excellent puzzles at your site this week, as usual. Thanks a lot! I've enjoyed James' Christmas Tree Maze and other puzzles at his site. Also I took a closer look at Jean-Charles' dissection puzzle and... found 6 different solutions; two latter of them have one piece to turn over each. I feel there may be more solutions, though. Please see the attached .gif file. Best, Serhiy Grabarchuk (1, 3, 5, 7, 8, 9) ---------------------------------------------------------------- Brian Trial (1, 3, 5) ---------------------------------------------------------------- Hi again Ed, Maybe i am not getting the idea of the dissection puzzle, just found another one (4 different parts again). Were the two you found made from 4 equal pieces? (new pic attached) regards Roel Huisman (1, 2, 4, 5) ---------------------------------------------------------------- These are my solutions...the same as yours? -- Koshi Arai (1, 4) ---------------------------------------------------------------- Gabriele Carelli (1, 3, 5) ---------------------------------------------------------------- Dan Tucker (1, 2) Well I don't like my second solution because one piece must be reflected to work. (attached are two versions, hopefully you can see one of them.) ---------------------------------------------------------------- Hi Mr Pegg, By hand, I found three solutions, shown below in order of decreasing symmetry, and (to me) increasing appeal. The simplest solutions has 4 identical shapes, with 2 pieces rotated by 90 degrees to form the square (1) More interesting is the one with 2 x 2 shapes, where again 2 pieces are rotated by 90 degrees to form the square (10) And the one I love most - 4 different shapes, with 2 pieces rotated (90 & 180 degrees) in the square (7) No other solutions seem possible, but of course I may have missed one or two.... Keep up the fun stuff! Remmert Borst