Abstract: A manipulator having six degrees of freedom includes a moving plate having six moving points arranged with substantial equal angles therebetween, an upper fixed plate having six upper fixed points arranged with substantial equal angles therebetween, the upper fixed plate being positioned above the moving plate and being spaced apart from the moving plate, a lower fixed plate having six lower fixed points arranged with substantial equal angles therebetween, the lower fixed plate being positioned under the moving plate and being spaced apart from the moving plate.