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POW #12: The Big Knight Switch - Papers

POW #12: The Big Knight Switch

PROBLEM STATEMENT:
For POW 12, I am asked if four knight's, (two black and two white) can
switch places, while perpendicular to each other, (meaning two black knights are
on one side of a 3x3 chess board with two white knights adjacent to them. They,
were feeling restless and decided to attempt to see if this were possible.
Keeping in mind the following guidelines:

� No two pieces can occupy the same square
� Knight's can pass or jump over each other
� The can only move two square forward and one to the right or one forward
and two to the right
� Nothing is mentioned about proper turns, i.e. white first, then black,
then white�.etc.�

With those ...

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and two white). I placed each in their appropriate sections and
proceeded to attempt to solve the problem. I calculated it to take each piece a
minimal of four moves to reach the other side of the board so I instantly knew I
would require 16 boxes for my diagram. But rather then going through that
process, I decided to take a much easier one, that being by simply drawing a 3x3
chess board with the chess pieces. After completing it, I began by simply
plotting the points and attempting to figure out the process through which I
would go through to solve this POW. I was quickly amazed when I found the answer
only minutes after originally starting. I re-tracked my steps and made the
diagram included. Since, I already knew, prior to starting, that each would
require four moves before reaching the other side, I traced the route each would
follow and devised a method in which the could move one after the other and not
interfere with each other which soon brought me to my ...

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POW #12: The Big Knight Switch. (2005, September 3). Retrieved December 1, 2024, from http://www.essayworld.com/essays/POW-12-The-Big-Knight-Switch/32706

"POW #12: The Big Knight Switch." Essayworld.com. Essayworld.com, 3 Sep. 2005. Web. 1 Dec. 2024. <http://www.essayworld.com/essays/POW-12-The-Big-Knight-Switch/32706>

"POW #12: The Big Knight Switch." Essayworld.com. September 3, 2005. Accessed December 1, 2024. http://www.essayworld.com/essays/POW-12-The-Big-Knight-Switch/32706.

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PAPER DETAILS

Added: 9/3/2005 04:26:35 PM
Category: Miscellaneous
Type: Premium Paper
Words: 616
Pages: 3

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