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qntm's profile
quarantine 'em
quarantine 'em
quarantine 'em
@qntm

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quarantine 'em

@qntm

I created the Antimemetics Division. http://scp-wiki.wikidot.com/antimemetics-division-hub …

qntm.org
Joined September 2009

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    1. quarantine 'em‏ @qntm 16 Jan 2017
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      In the board game Thud!, how many trolls does it require to capture a lone dwarf? I can show a solution with nine. Can't quite get eight.

      1 reply 1 retweet 3 likes
    2. quarantine 'em‏ @qntm 16 Jan 2017
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      Rules of Thud!: https://en.wikipedia.org/wiki/Games_of_the_Discworld#Gameplay …

      1 reply 1 retweet 1 like
    3. quarantine 'em‏ @qntm 16 Jan 2017
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      A lone troll threatens the 5x5 square grid centered on it. It can't move through the Thudstone, though...

      1 reply 0 retweets 1 like
    4. quarantine 'em‏ @qntm 16 Jan 2017
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      ...which rules out the obvious solution with nine trolls arranged in a square grid pattern, five spaces apart, one at the centre

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    5. quarantine 'em‏ @qntm 16 Jan 2017
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      I've found that placing trolls adjacent to one another doesn't generally allow them to threaten more territory than spreading them apart...

      1 reply 0 retweets 1 like
    6. quarantine 'em‏ @qntm 16 Jan 2017
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      ...except for a L-shaped arrangement of three, which threatens a region not possible with any three separate trolls.

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    7. quarantine 'em‏ @qntm 16 Jan 2017
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      (Of course, in the "real" game, bunching together is more useful than in this problem.)

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      quarantine 'em‏ @qntm 16 Jan 2017
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      Note that it isn't necessary to for the trolls threaten the *entire* board (which I don't think is possible even with nine of them)...

      4:30 PM - 16 Jan 2017
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        1. quarantine 'em‏ @qntm 16 Jan 2017
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          Since the lone dwarf *must* move, it suffices to threaten the whole board except for one square...

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        2. quarantine 'em‏ @qntm 16 Jan 2017
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          Or, better yet, to threaten the entire board except for a network of squares, no two of which are connected by a dwarf's move.

          1 reply 0 retweets 0 likes
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