The impossible puzzle with over a million solutions!
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This partridge puzzle has 1,730,280 solutions! So it should be pretty easy ... right? Try for yourself!
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The task is simple:
Fill a 45x45 square with 1 piece of size 1x1, 2 pieces of size 2x2, 3 pieces of size 3x3 and so on up to 9 pieces 9x9.
There are 1,730,280 solutions to it!
After watching Matt Parker's great video on the topic, I just had to make this puzzle for myself.
If you want a lot of background information on it (and many solutions), go and watch:
The impossible puzzle with over a million solutions!
I designed the pieces that the 1x1 piece is 8x8mm, which is fairly ok to handle.
The board is 45x45 squares and I made 4 pieces, so it would fit on a Mk4 print bed. There is no need to slice all 4 of them, you can just print one piece 4 times, they are identical.
For the puzzle pieces, print 9 pieces #9, 8 pieces #8 and so on.
I used top and bottom fill patterns - you can find them in PrusaSlicer in the Infill-Settings.
The frame uses the “Octagram Spiral” for top and bottom and I love it (although PrusaSlicer prints the lines in a weird order).
for the parts I used “Archimedean Chords” for the bottom and “Hilbert Curve” for the top.
If you want 2 color plates, you can load the plate and the matching number into your slicer at the same time and it should line up nicely and you can select different colors for each part.
I also made a matching storage box - you can find it here: