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I've seen it in plenty of other animes, it's not unique to Zoids... so I don't think it has a Zoids-specific meaning... :o

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I think it says where you are from, or who you belong to. Remember that all the bandits had a single line across their face, so that's one way of looking at it.

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Yeah, I always thought of it as showing where you came from, or where you belong. Other than that I just looked at it and thought it was just for a cool touch. ^_^