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Apr 25, 2017 at 14:21 history edited Joseph O'Rourke CC BY-SA 3.0
image link broken; now fixed.
Jun 24, 2013 at 0:21 comment added Joseph O'Rourke I agree, Bryan. In fact, a generic (random) polyhedron would have the property you mention. Nice question; too bad the answer is negative!
Jun 24, 2013 at 0:04 comment added bjwbell After a little thought. I'm pretty sure the answer is no. Choose a set of vertices with angle deficits such that no two subsets have the same total angle deficit. The proof should follow.
Jun 23, 2013 at 22:43 comment added bjwbell Thanks! I checked and yep there aren't any others. The followup question is: Is there always at least one?
Jun 23, 2013 at 22:41 vote accept bjwbell
Jun 22, 2013 at 14:07 history edited Joseph O'Rourke CC BY-SA 3.0
added 116 characters in body
Jun 22, 2013 at 3:01 history edited Joseph O'Rourke CC BY-SA 3.0
added 12 characters in body
Jun 22, 2013 at 2:50 history answered Joseph O'Rourke CC BY-SA 3.0