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This article is within the scope of WikiProject Polyhedra, a collaborative effort to improve the coverage of polygons, polyhedra, and other polytopes on Wikipedia. If you would like to participate, please visit the project page, where you can join the discussion and see a list of open tasks.PolyhedraWikipedia:WikiProject PolyhedraTemplate:WikiProject PolyhedraPolyhedra articles
What is the polyhedral dual of this? It is topologically self-dual, but there should be a geometric dual too! SockPuppetForTomruen (talk) 18:09, 1 September 2011 (UTC)[reply]
Self also. 4TC 12:00, 2 September 2011 (UTC)[reply]
It's a bit more complicated than that. There are many stellations of the icosahedron sharing the same visible surface. The stellation discussed in this article is the self-dual one. Double sharp (talk) 07:25, 3 May 2012 (UTC)[reply]
Does this thing have an unambiguous volume? The central triangle is not part of the faces, so I would find it strange if the icosahedral core were part of the volume. Watchduck (quack) 09:44, 18 September 2019 (UTC)[reply]