POW 6: linear nim Essay Example

variation of linear nim game. My sister and I played a few games for eleven with no real strategy in mind. Then I found that in order to win I had to do the same thing as the last game except that I had to start with a three in order to get the 7th line.

This strategy worked exactly like the last strategy except that it was off a number. This would give me the last line(s). So my strategy was to cross off three but I knew that it wouldn’t be the same for every single variation of linear nim so I had to find a more complete strategy. The 23-lined linear nim was one that I had more trouble finding a solid edged strategy. When I played this a few times I found that there was no actual number that could force it to work like the last couple times with the ten and the eleven lines.

What I did was to break it into a ten and a nine after subtracting four. I subtracted four because that is reserved so that the opponent will have to lose. In this case, since it was 23 I subtracted 4 which made it 19. Since I already knew how to get the ten I put it into two parts of ten and nine. Over all there is an advantage when you go first for all of these games because it is when you go first that you get to force the other player not to be able to win if you have the right strategy.

This POW showed me how to plan strategies and the step that

are needed in order to make a presentation on the POWs in the future. This POW I enjoyed much more than the others because of how it was formatted as a game and we could play it with other people to find a good strategy to always win. I felt this POW was a little easy but this, for me is a good thing because that meant that it was explained well enough for me to understand and clearly for me to find a way to generate answers. It was fun, easy and clear.