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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)
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Michael Reid (6)
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This one was easy!
Bob Kraus (5, 9)
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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)
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Brian Trial (1, 3, 5)
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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)
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These are my solutions...the same as yours?
-- Koshi Arai (1, 4)
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Gabriele Carelli (1, 3, 5)
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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.)
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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