I think people are limiting themselves way too much. Very simple animals can pull off this feat and some barely have brains at all. Many insects can do this and you would literally need a microscope to see some of their brains. The most intelligent animal that I know of with 360 vision are ducks. This is an animal so dumb it eats its own waste and doesn't even realize it.
Look at this video to see how smart a duck is.
http://www.ebaumsworld.com/video/watch/80487386/
If Quackers brain can do it, yours can too!