These words are not for everyday use. They have long been part of the jargon of the diplomatist and the physiologist. And they have recently been admitted into that of the economist, where they are doing much hard work. But for ordinary purposes it is best to stick to one-sided, many-sided and two-sided.
Dr. J. M. described the condition of a man in a Southwark court case as "bilateral periorbital haematoma and left subjunctival haemorrhage". Asked what this meant he replied: "For we ordinary mortals, two lovely black eyes". (Evening Standard, 2nd March, 1949.)
It is a pity that the doctor marred the moral by saying "for we ordinary mortals".