Liberated. I think you have a really big misunderstanding. You are talking about not understanding how random mutations and natural selections can cause those eye pictures on that butterfly.
How can random mutations over no many how many generations create a pattern as precise as the eye?
Give me a break and use your rational side for a bit...
Random patterns of colors all over the butterfly are understandable, but its simply inconceivable for a pattern like the eye to form via random mutations and natural selection. You mean to tell me that a mutation caused a quarter of an eye to be formed, and further mutations caused another quarter, and then another until the eye was formed as it looks now?
*sigh*.
By saying "via random mutations and natural selection" you seem to mean "via random mutations" because I really don't see any natural selection in your post. Having a picture of a quarter of an eye probably gives no benefit for the butterfly so new mutations would just break that image. How that would really work is that some mutation/mutations would cause a black dot or something similar that the predator might confuse to a big eye(or something else) that would cause it to hesitate and give butterfly enough time to flee. Even if the chance of surviving was only slightly higher then it would still cause benefit for butterflies that have it in comparison to the butterflies that don't have it causing that mutation to spread. And all new mutations that would increase the chance of confusing predators(by making the picture look more like an eye) would spread by same principle and the result would be a picture that looks very similar to an eye.
The most probable situation for this I can conjure up with my brains right now is this:
Butterfly whose best chance to pass its genes on is to have nice symmetric pictures that would seem interesting to opposite sex.
Mutation/mutations that causes slightly eye-like dots(assuming that same genes determine the pictures of both wings(that's probably the case in that picture of yours)) that still don't disturb females much.
The butterfly having higher chance to avoid predators making the mutation more common.
New mutations... Beneficial ones(that make the picture more eye-like) passing on, harmful ones(that make the picture less eye-like) dying out and neutrals(no effect) remaining or disappearing randomly.
New mutations and same thing again...
New mutations and same thing again...
New mutations and same thing again...
New mutations and same thing again...
New mutations and same thing again...
New mutations and same thing again...
...
And finally the situation is what it is today(note that this is only one possible way).