Thus spake "Origami on behalf of Meenakshi Mukerji" <origami-boun...@lists.digitalorigami.com on behalf of meen...@gmail.com> on 3/19/18, 4:19 PM:
...The Sonobe type onstructions in no way satisfy the criteria for a stellated solid (https://en.wikipedia.org/wiki/Stellation). But then, I haven't found a good name for those Sonobe solids. How about pyramidized octahedron or icosahedron? In 1509, Luca Pacioli and Leonardo da Vinci put together a book, "La Divina Proportione," in which they introduced the concept of erecting a pyramid on each face of a polyhedron (which is what is effectively happening in a Sonobe solid) and they called the operation "Elevation." So Sonobe solids would be (according to that terminology) "elevated polyhedra," and that's the term I've used when describing modulars with that form. Here's a Bridges paper that gives details: http://archive.bridgesmathart.org/2014/bridges2014-235.pdf And if you web-search for "elevated polyhedron", you'll find other papers that use the term. Robert