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Timeline for Extreme points and centroid

Current License: CC BY-SA 3.0

10 events
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Feb 17, 2014 at 14:54 review Close votes
Feb 17, 2014 at 17:06
Feb 17, 2014 at 14:26 history edited user9072
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Feb 17, 2014 at 14:25 comment added user9072 Please use top-level tags.
Feb 17, 2014 at 14:25 vote accept Paul Siegel
Feb 17, 2014 at 14:24 answer added Yoav Kallus timeline score: 4
Feb 17, 2014 at 14:18 comment added Paul Siegel Yes, I guess it is: e.g. replace the edge of a triangle with the arc of a circle with a very large radius.
Feb 17, 2014 at 14:17 comment added Paul Siegel Is it clear that you can deform $C$ as you describe while preserving convexity?
Feb 17, 2014 at 14:08 answer added Alex Degtyarev timeline score: 2
Feb 17, 2014 at 14:08 comment added Yoav Kallus Take a line which goes through the centroid and is far from being an area bisector. You can deform C infinitesimally so that the intersection of L with the boundary is now a vertex. Now the line connecting the new vertex with the centroid is still far from being an area bisector.
Feb 17, 2014 at 13:58 history asked Paul Siegel CC BY-SA 3.0