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Open Problems from the Geometry Junkyard

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Description: Compiled by David Eppstein of the University of California at Irvine.
The Geometry Junkyard: Open Problems . Jim Propp asks whether the two farthest apart points, as measured by surface distance, on a symmetric convex body must be opposite each other on the body. Apparently this is open even for rectangular boxes.
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Page title:The Geometry Junkyard: Open Problems
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