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.
-
...which rules out the obvious solution with nine trolls arranged in a square grid pattern, five spaces apart, one at the centre
I've found that placing trolls adjacent to one another doesn't generally allow them to threaten more territory than spreading them apart...
-
-
...except for a L-shaped arrangement of three, which threatens a region not possible with any three separate trolls.
-
(Of course, in the "real" game, bunching together is more useful than in this problem.)
- 11 more replies
New conversation -
Loading seems to be taking a while.
Twitter may be over capacity or experiencing a momentary hiccup. Try again or visit Twitter Status for more information.