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.
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A lone troll threatens the 5x5 square grid centered on it. It can't move through the Thudstone, though...
...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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I've found that placing trolls adjacent to one another doesn't generally allow them to threaten more territory than spreading them apart...
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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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