Talk:Stellated truncated hexahedron

Convex core is nonuniform?

What's the definition of "convex core" being used here? The convex core (Stella definition) only has the triangles, making a regular octahedron. So I am interested to know what is meant. Double sharp (talk) 10:44, 1 May 2013 (UTC)

Convex core means "stellation core".???‽‽‽!!!?‽!?‽!?‽!? 06:22, 5 May 2013 (UTC)

The core is the central volume of all the face-planes, and is convex by definition. So that core apparently isn't a uniform polyhedron, so it's a stellation of a nonuniform convex polyhedron. Tom Ruen (talk) 19:06, 5 May 2013 (UTC)

Its core (surely convex) is a regular octahedron. This does not imply that this polyhedron is a stellation of the regular octahedron. --Little bishop (talk) 00:44, 16 September 2019 (UTC)

Well, in 2013 someone claimed the core is a regular octahedron, and me now. It looks just obvious, we don't need a mathematical proof for that. I think it's time to fix this insane mistake of the 'nonuniform convex core'... Specifically I propose to change this: "its convex 'core' is not a uniform polyhedron", with this: "its core is a regular octahedron". Either that or we just avoid speaking about its core (as it is for all the other uniform star polyhedra): better to tell nothing rather than tell something wrong. --Little bishop (talk) 12:58, 21 September 2019 (UTC)

The eight triangles correspond with the triangles in a truncated cube, and therefore also create the octahedral core you mention. That doesn't mean this isn't a stellation of the truncated cube: it most certainly is. If it were a stellation of the octahedron, where would the octagrammic faces come from? I propose changing the controversial sentence to the following.

Even though the stellated truncated hexahedron is a stellation of the truncated hexahedron, its core is a regular octahedron.

– OfficialURL (talk) 20:07, 18 April 2020 (UTC)

@OfficialURL: Sure, that's fine with me.

P.S. This is why I prefer the names quasitruncated cube or stellatruncated cube for this polyhedron. Double sharp (talk) 03:44, 19 April 2020 (UTC)