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With 3 different objectives this is the perfect game for any coffee table. See how many solutions you can find for the triangle and the two three dimensional pyramids.
The triangle can be filled any of 24 ways, and once complete the pieces can be used to make a 4x4x4 pyramid using 20 balls and a 5x5x5 using all the pieces except the single ball.
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The legend of the Towers of Hanoi refers to a stack of 64 rings that when shifted the world will come to the end. Truth be told the sun would burn out long before anyone could finish the 18 sextillion moves required.
Only moving one piece at a time, and never stacking a bigger piece on a smaller piece, move the tower from the peg on the left to the peg on the right.
The tower can always be solved in 2n-1 moves where 'n' is the number of rings used. See how few moves you can use.