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May 21, 2014 at 4:02 comment added Dylan Thurston Correct, the map I described just uses that $C$ is star-shaped, no fatness required.
May 20, 2014 at 8:36 comment added Erel Segal-Halevi It seems you did not use the fatness constraint. Does the construction work when the polygon $C$ is convex but not fat?
Jun 2, 2011 at 1:23 vote accept John Gunnar Carlsson
Jun 1, 2011 at 21:07 vote accept John Gunnar Carlsson
Jun 2, 2011 at 1:23
Jun 1, 2011 at 20:34 history answered Dylan Thurston CC BY-SA 3.0