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

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