Some NDE'rs (people who have experienced being outside their body when they have been close to death) report having 360 degree vision during the experience:
"Robert Sullivan, an amateur NDE researcher from Pennsylvania who specializes in NDEs by soldiers during combat, interviewed a World War II veteran who temporarily retained this ability even after he returned to his physical body. 'He experienced three-hundred-sixty degree vision while running away from a German machine-gun nest,'says Sullivan. 'Not only could he see ahead as he ran but he could see the gunners trying to draw a bead on him from behind."
From THE HOLOGRAPHIC UNIVERSE by Michael Talbot.