I have decided that I will conduct the Tower of Hanoi study.
It is a mathematical problem in which you must move the stack of disks from the left peg to the right peg. There are two rules: first you can only move one disk at a time and second larger disks cannot be placed on smaller ones. This problem has a start, a series of intermediate steps and a target. I am researching to find out how different people approach a rather simple problem and what their results are
One of my friends brought up that this was done in Rise of the Planet of the Apes, where they tested the apes' intellience by asking the to complete the tower. Doing the tower with more then five rings really does require a lot of higher level thinking because you have to think three steps ahead in order to make the proper next step. After hearing about this i had to give it a shot, so I tried 10 discs. It took me over an hour and 2500 moves but I kept patient and eventually figured it out.
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