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Timeline for Convex triangulations

Current License: CC BY-SA 4.0

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Feb 22, 2020 at 14:18 comment added Jan Kyncl When looking at the figure, I noticed that around a vertex of degree at most $4$, two of the consecutive angles will sum up to more than 180 degrees. So the neighbor along the edge common to those two angles will have a nonconvex union of incident triangles.
Feb 22, 2020 at 12:56 comment added Joseph O'Rourke @JanKyncl: May I ask how you arrived at this interesting fact?
Feb 22, 2020 at 11:25 comment added Jan Kyncl Observation: If all neighbors of an interior vertex $v$ in a convex triangulation are interior vertices, then the degree of $v$ is at least $5$.
Feb 22, 2020 at 0:02 comment added Joseph O'Rourke It is an interesting question: When does a convex triangulation exist? And what is the computational complexity to decide if a set of points admits a convex triangulation?
Feb 21, 2020 at 22:08 vote accept Manfred Weis
Feb 21, 2020 at 21:19 history edited Joseph O'Rourke CC BY-SA 4.0
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Feb 21, 2020 at 21:13 history edited Joseph O'Rourke CC BY-SA 4.0
added 432 characters in body
Feb 21, 2020 at 20:54 history answered Joseph O'Rourke CC BY-SA 4.0