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Cayley's Cubic Surface (9 lines of ruling and 1 demonstration line) 
The models presented on Shapeways are recreations of a Classical Mathematical Model Collection originally made by hand in plaster in the 1800's. This portion of the collection was originally modelled by Carl Rodenberg under the direction of the famous mathematician Felix Klein. The models are currently presented as solid 1:1 recreations. For more information: http://formpig.com/blog/?cat=24 or http://www.flickr.com/photos/52229863@N06/sets/72157626031842197/