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Dec 27, 2022 at 12:21 history edited Martin Sleziak CC BY-SA 4.0
http -> https (the question was bumped anyway)
Nov 3, 2015 at 12:28 history edited Robert Bryant CC BY-SA 3.0
Added a remark about a family of examples, the generic one having no symmetries.
Nov 2, 2015 at 13:10 history edited Robert Bryant CC BY-SA 3.0
Added some pictures
Nov 1, 2015 at 12:08 history edited Robert Bryant CC BY-SA 3.0
Added some information, cleaned up some terminology, referred to David's proof.
Oct 31, 2015 at 9:08 comment added Robert Bryant @DavidSpeyer: Thanks! That's a nice observation.
Oct 31, 2015 at 4:24 comment added David E Speyer I left an answer addressing the point in your last paragraph. In short, the interior of $B$ is the region where $F$ is negative, although I can't rule out that $F$ also drops down to $0$ without becoming negative at some other points.
Oct 30, 2015 at 10:42 history edited Robert Bryant CC BY-SA 3.0
added 29 characters in body
Oct 30, 2015 at 9:22 vote accept Adam P. Goucher
Oct 30, 2015 at 2:59 history edited Robert Bryant CC BY-SA 3.0
added 3135 characters in body
Oct 29, 2015 at 18:35 history edited Robert Bryant CC BY-SA 3.0
added 110 characters in body
Oct 29, 2015 at 18:24 history answered Robert Bryant CC BY-SA 3.0