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[The Merchant Of Menace]

So, I intend to build a new form of torture device for my Dwarfs, but I want to know, if i build six invader passages into my fort, will invaders always use the same path or will it be random?

The idea, six passages each with a pressure plate, five plates will kill the invaders but one, will flood the fort with liquid Fun.
"A vile force of darkness has arrived, do you feel lucky? Punk."

[Naina]

Invaders use the shortest route into your fortress.

[Rowanas]

If you make each passage equally long, with a victim at the end (chained dog, or the like) they should each choose randomly.

[The Merchant Of Menace]

Hmm... If I make all passages of equal length and have them lead into a large square room leading into the fort proper will it work?

@Rowanas, Cheers, i believe I shall use that method.

[WrathNail]

Hmm... If I make all passages of equal length and have them lead into a large square room leading into the fort proper will it work?

@Rowanas, Cheers, i believe I shall use that method.

Then it depends on where they enter and what the orientation of your passages is.

For example: Six passages facing south (entrance = south), goblins enter from the east; they will use the east-most passage.

[Pillow_Killer]

Cat-computed pressure-plate based floodgate random close/open cycle system. Works well enoug hfor me.

[Rowanas]

Wrath nail, but if you have a short, straight passage before it opens up into the 6 doors, the goblins will be equal distance from each and every door, pathing wise.

[Pillow_Killer]

From door yes, but not the target.

[JarinArenos]

That just means you have to zigzag some of the tunnels coming out of the big room a bit so that they're all exactly the same length.