Thus spake "Origami on behalf of Meenakshi Mukerji"
<[email protected] on behalf of [email protected]> 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
