566 Stereoskopia is a large, outer main-belt asteroid orbiting the Sun. It was discovered on 28 May 1905 from Heidelberg by German astronomer Paul Götz. The discovery was made from photographic plates with the use of a stereo-comparator that had been provided by Carl Pulfrich, a German physicist at the Carl Zeiss Company. The asteroid name is a reference to this device. This object is a member of the Cybele group located beyond the core of the main belt. It is orbiting at a distance of 3.39 AU with a period of 2275.4 days and an eccentricity of 0.12. The orbital plane is inclined at an angle of 4.9° to the plane of the ecliptic. Light curve analysis based on photometric data collected during 2008 provide a rotation period of 12.103 hours for this asteroid. It spans a girth of approximately 167 km and is classified as a carbonaceous C-type asteroid.