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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 tower of Hanoi (also called the tower of Brahma or the Lucas tower) was invented by a French mathematician Édouard Lucas in the 19th century. It is associated with a legend of a Hindu temple where the puzzle was supposedly used to increase the mental discipline of young priests. In the legend the young priests were given 64 gold disks stacked neatly on one of three posts. Each disk rested on a slightly larger disk. The priests' goal was to re-create the stack on a different post by moving disks, one at a time, to another post with the rule that a larger disk could never be placed on top of a smaller disk. Using mathematics, you can calculate that even when the priests found the most efficient way to solve the problem, and moved the disks at a rate of one per second, it would take almost 585 billion years to finish the job. That is more than 40 times the age of the universe!