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Slithe
United States985 Posts
You're playing a two-player turn based game. You have a circular table, 1 meter in diameter. You and your opponent take turns putting 1 centimeter pennies on the table. The pennies cannot overlap each other, and they must stay completely on the table. If you cannot put down a penny on your turn, you lose the game. Would you rather go first or second, and what would your strategy be?   | ||
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Daveed
United States236 Posts
I would Go first/put the penny right on the center. | ||
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Cascade
Australia5405 Posts
On February 06 2008 08:14 Daveed wrote: + Show Spoiler + I would Go first/put the penny right on the center. + Show Spoiler + ahh, that's sweet! And then just put pennies exactly on the opposite side of the centre penny as his pennies I guess?  | ||
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DamageControL
United States4222 Posts
On February 06 2008 08:15 Cascade wrote: + Show Spoiler + ahh, that's sweet! And then just put pennies exactly on the opposite side of the centre penny as his pennies I guess? breakable aint it? I mean this would rely on PRECISION placement. No would have to be dead on, every time. There must be more effective ways | ||
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Folca
2235 Posts
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Meta
United States6225 Posts
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fight_or_flight
United States3988 Posts
On February 06 2008 08:23 DamageControL wrote: breakable aint it? I mean this would rely on PRECISION placement. No would have to be dead on, every time. There must be more effective ways I don't think it would work. What if the second player put a penny down 0.7 cm away from yours, at a 25º angle? | ||
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Daveed
United States236 Posts
+ Show Spoiler + Actually, if the coin overlaps the exact center of the table at all, you've won. A few replies to the people above: @ DamageControL: In mathematical games like this, you usually assume exact movements from yourself, as well as perfect strategy from the opponent. At any rate, if you carry this out correctly, there's no way you can lose. @ fight/flight- I don't understand what you mean. At a 25 degree angle? With respect to... what? @ meta- sure, you could figure out what the max number of pennies are that could fit on a table. But this would require that the pennies be put on in a specific pattern; what if one of the players placed their penny out of position for this "perfect arrangement"? That would mess things up. | ||
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Cambium
United States16368 Posts
On February 06 2008 08:14 Daveed wrote: + Show Spoiler + I would Go first/put the penny right on the center. Cool. | ||
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EmeraldSparks
United States1451 Posts
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ZaplinG
United States3818 Posts
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Slithe
United States985 Posts
+ Show Spoiler + Once you take the center, you know that anything your opponent does, there's always a mirror move on the other side that's open. There's no way for the opponent to "block" your move, because the only place where that would be possible is in the middle, which you already took. For anyone who doubts the solution, you could always find a circular table, break out a lot of pennies, and test for yourself  . | ||
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fight_or_flight
United States3988 Posts
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Sigrun
United States1655 Posts
On February 06 2008 11:22 EmeraldSparks wrote: Take the pennies and run. This one looked like a better solution! | ||
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