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Sep 6, 2017 at 19:09 comment added Fred Rohrer Bourbaki's definition of "polyhedron" (and of "locally polyhedral convex set") can be found in EVT.II.7 Exercice 24.
Aug 8, 2017 at 5:13 comment added მამუკა ჯიბლაძე @MoritzFirsching The plan is to collect enough diverse input for deciding on my own terminology use
Aug 7, 2017 at 12:22 comment added Moritz Firsching What do you expect as an answer? Recent mentions of polyhedron/polytopes with different meanings? Or just a simple "no"?
Apr 13, 2017 at 12:58 history edited CommunityBot
replaced http://mathoverflow.net/ with https://mathoverflow.net/
Feb 9, 2017 at 16:38 comment added Joseph O'Rourke @Qfwfq: I stand corrected: "polytope" is usually understood to be convex, especially more recently than 1967, when Grünbaum's book was published.
Feb 9, 2017 at 16:07 comment added Qfwfq @Joseph O'Rourke: if a polytope were always convex this book would have a different title: google.it/imgres?imgurl=http://t1.gstatic.com/…
Feb 9, 2017 at 12:14 comment added Joseph O'Rourke It is a shame there is not an International Standards Organization that attempts to normalize mathematical terms :-). In its absence, I think you are correct that the terminology is not standardized. In many contexts, a "polyhedron" is (possibly) nonconvex unless preceded by "convex," whereas "polytope" is always convex.
Feb 9, 2017 at 10:23 history edited მამუკა ჯიბლაძე CC BY-SA 3.0
added 512 characters in body
Feb 9, 2017 at 10:13 history asked მამუკა ჯიბლაძე CC BY-SA 3.0