Tower of Tires |
Description
The Tower of Tires challenge is a takeoff on a children's game commonly called the Tower of Hanoi, among other names. This challenge is a math game that requires participants to re-stack a set of items while observing a few simple rules. The result finds the original stack in a different place, but the original order of the items remains the same.
Success Criteria The team completes the challenge when it has successfully moved all the tires form one cone to another cone while following the specific rules for moving the tires. The tires must be in the same order as they were at the start, from #1 to #5, with tire #1 on top. Equipment
Setup The 5 tires on one large cone with the largest on the bottom and the smallest on the top. Set the other two cones in line with the middle cone approximately 1 m to either side. Rules and Sacrifices
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Possible Solutions
The fewest number of moves required to reach the solution is 31. Teams can complete the challenge using more than the minimum number of moves. An example: Move tire #1 one the empty cone on the right. Move tire #2 onto the empty cone on the left Move tire #1 onto tire #2 Move tire #3 onto the now empty cone on the right This continues until the team is able to move the bottom tire #5 to a different cone The team members then try to revers the process so that they can move tire #4 onto #5 and so on, until they re-stack all the tires. Suggested that participants write down all their moves. The time will likely come when the team has used every possible combination of team members to make a move. When this occurs, the team may repeat combinations on the list. Conclusion of the Task As noted previously, the team completes the task when it has moved the entire stack of tires to a different cone with the tires stacked in their original order. Have the participants move the stack of tires back to the center cone before going onto the next challenge. Additions and Variations Groups can do this challenge using a different number of tires. Using 5 tires takes a reasonable amount of time and presents a good challenge.
Safety Considerations This challenge does not present any inherent safety concerns. As with any task using tires, make sure that no steel belts are exposed. Participants should lift tires safely so that no back muscle problems occur. You can play now online using this link :https://www.mathsisfun.com/games/towerofhanoi.html |