There recently seems to be a problem using words to describe some 3D solids.
Here are two references from a source I consider to be an authority. http://mathworld.wolfram.com/Stellation.html http://mathworld.wolfram.com/Cumulation.html The second of these has lots of pictures/examples, and some nice origami images. There are plenty of technical references included. A good way to find and access general (technical) information is http://www.wolframalpha.com/ There are many origami models, some one-piece and many modulars, that are misnamed "stellated". That's OK, because those are just names. A discussion of the meaning of words is different, IMHO. Cheers, Ralph Jones