[Vermin (Tom)]

What's strange is that having a dominant eye (if the above anatomy information is correct) means the dominance is introduced before the optic chiasm rather than in the processing centres in one half of the brain. i.e. in the optic nerves (or perhaps the chiasm itself). As the processing centres in each half of the brain get information from both eyes.

This would explain the perceived advantage of a binoviewer, because when using a single eye, each half of the brain only receives half the information from the single retina in use.

With limited interconnections between the hemispheres of the brain this is a distinct disadvantage (unless you happen to be of the fairer sex - whom apparently have a greater number of interconnections).

EDIT: after having a bit more of a think about this - eye dominance could still be attributable to the processing centres in the brain, but it would require right eye dominance (for example) in both hemispheres of the brain. This seems less likely but possible. A Google search only showed that this is still not well understood.

Designing an experiment to test which of these theories is more probable is quite simple - all it would take would be a study of individuals with damage to the nerves after the chiasm. A very rare condition.