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Jul 25 at 23:13 comment added Don Hatch @RobertIsrael see my previous comment (sorry, clumsy here-- I don't know how to cc multiple people at once, or from an answer)
Jul 25 at 23:11 comment added Don Hatch @GerhardPaseman I posted an answer showing the equipotential surface at the origin, which, I think, confirms your conjecture that escape is possible through only the hexagonal faces.
Apr 13, 2017 at 12:58 history edited CommunityBot
replaced http://mathoverflow.net/ with https://mathoverflow.net/
Oct 2, 2016 at 20:09 comment added Robert Israel You can't come out very close to one of the vertices because of energy. Other than that, I think most of the sphere should be accessible, although there may be focussing effects that favour the centres of the hexagonal faces, which are the points of lowest potential energy on the sphere.
Oct 1, 2016 at 1:08 comment added Gerhard Paseman It looks like escape happens only through hexagonal faces. Is this always the case? And are the outer trajectories always perpendicular to a hexagonal face? Gerhard "Normal Is Easier To Spell" Paseman, 2016.09.30.
S Sep 30, 2016 at 23:12 history answered Joseph O'Rourke CC BY-SA 3.0
S Sep 30, 2016 at 23:12 history made wiki Post Made Community Wiki by Joseph O'Rourke