Island of Dr. Brain - Part 3 of 14

Channel:

ShadyParadox

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4,880

Published on March 12, 2008 10:27:33 AM ● Video Link: https://www.youtube.com/watch?v=1CmEafoy4uI

Game:

The Island of Dr. Brain (1992)

Duration: 10:38

8,159 views

12

This video shows the Tower of Hanoi and Lagoon Jigsaw Puzzle.

The hint watch has this suggestion for completing the Tower of Hanoi:

"Count the number of disks in a stack. If this is an odd number, move the top disk to the destination pole (on the far right). If this is an even number, move the top disk to a temporary pole (in the center or on the left)."

I don't care much for this hint, considering its ambiguity arises as early as the ninth move. While you can still figure out the minimum path, this description alone is incomplete. Here is my solution:

"Number the disks from 1 to n (n=7 in this case), with 1 being the smallest and n being the largest. NEVER PLACE AN ODD NUMBERED DISK DIRECTLY ON TOP OF ANOTHER ODD DISK, OR AN EVEN DISK ON ANOTHER EVEN DISK. If n is odd, first move disk 1 to the destination pole, otherwise move it to the other pole. Then simply alternate between moving disk 1 and one of the others. These rules force the rest of the moves."

Disk 1: Every 2nd move - 64 moves
Disk 2: Every 4th move - 32 moves
Disk 3: Every 8th move - 16 moves
Disk 4: Every 16th move - 8 moves
Disk 5: Every 32nd move - 4 moves
Disk 6: Every 64th move - 2 moves
Disk 7: Move #64 - 1 move

for a total of 127 moves.

However, this only analyzes the minimum path. For more information on the mathematical structure of all possible moves, just check out wikipedia (it's actually quite interesting, especially the graphical representation section):

http://en.wikipedia.org/wiki/Tower_of_Hanoi

And yes, I make a boneheaded error during the jigsaw puzzle around 1:25. (SO obvious where that piece is supposed to go!)

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