Rifle Scopes Red Dots and Parallax

[BattleRifle]

From what I've read, red dots have little to "no?" parallax. Assuming that they have a small amount, how would the amount of parallax change as distance from the eye increased? In other words, assuming some parallax exists, in order to minimize it, should the red dot be as close the eye as possible or mounted as far from the eye as possible?

 

[hk dave]

Most quality red dots are supposed to be parallax free past 50 yards. Your distance to the dot shouldn't matter.