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Pentomino puzzle page
Pentominoes
The
What do you think? Is it possible? By the way, it is
permitted to rotate the figures to any position, including out-of-plane
rotations. However, to fill a rectangle, the sides of the squares must be
maintained parallel to the sides of the rectangle, a limitation that drastically
reduces the number of possible positions for the figures. The maximum numbers of
positions
It is not only possible to
fill the previously mentioned rectangles, but there
Can you find all the 3719 solutions? Of course, this does not seem feasible for human beings: if you could find one solution every day, it would take 10 years to accomplish the task. The fun of the thing is not to pursue the all-solutions stage, but to find as many solutions as possible. The program “Pentomino2”, which is
free and you can easily
Before using the program, you may
find it useful to know that this program does not check for symmetry: if you
start with an empty board, the number of solutions found by the computer must be
divided by 4, because there
However, if any number of pieces is added by hand before asking the computer to find the solutions, this problem does not exist anymore. The computer does not move the pieces added by hand, so if you had added the yellow piece below, only one of the (above) four possible solutions could be found. By the way: use the left
Downloading To
If the (exe) file does not run
on your computer (it will probably say that there is a
file missing, a *.dll, a *.ocx, etc.), then you have to
Complete program for installation: Pentomino2(full) [10.8 MB]
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