Objective of the Game
The objective of the Towers of Hanoi game is to move a set of discs from one peg to another, utilizing a third peg as a helper peg. This must be accomplished under the condition that only one disc is moved at a time and no larger disc may be placed on top of a smaller disc.
Materials Needed
- Three pegs
- A number of discs of different sizes, typically stacked in descending order from largest to smallest
Game Play
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Setting Up the Start Position: Place all discs in descending size order on the first peg, with the largest disc at the bottom.
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Movement Rules:
- You may only move the topmost disc from one of the pegs.
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A disc can only be placed on an empty peg or on top of a larger disc.
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Goal: Move all the discs from the starting peg to the target peg (usually the third peg), using the middle peg for assistance.
Strategic Tips
- To play with minimal effort, try to understand the simplest case, where only one disc needs to be moved. Once understood, you can iteratively apply this logic to multiple discs.
- The optimal solution path requires (2^n - 1) moves, where (n) is the number of discs.
- Start with two or three discs to better understand the game mechanics before progressing to more discs.
Special Features
This game doesn't require real competitiveness or luck as it is a puzzle-based problem. It is known to enhance problem-solving skills and logical thinking.
Note
While known as a single-player game, it can still be played in a social setting by having players take turns attempting to solve the puzzle in the minimum number of moves.