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Oct 17, 2017 at 5:18 comment added Ivan Izmestiev I see a problem with the degree four vertices. It would be natural to say a degree four vertex is umbilic if its neighborhood is inscribed into a round cone. But then a generic octahedron has no umbilic vertices.
Oct 16, 2017 at 22:56 history edited Mohammad Ghomi CC BY-SA 3.0
added 9 characters in body
Oct 16, 2017 at 20:31 history asked Mohammad Ghomi CC BY-SA 3.0