Abstract
This work provides two sufficient conditions in terms of sections or projections for a convex body to be a polytope. These conditions are necessary as well.
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Acknowledgement
The author would like to express his gratitude to Anton Petrunin for an enlightening conversation, to the anonymous Referee for the valuable remarks that improved the paper, and to the Pacific Institute for the Math Sciences (PIMS) and the Math Faculty of the University of Alberta for continuous support.
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The author is supported by a PIMS Postdoctoral Fellowship.
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Myroshnychenko, S. On some characterizations of convex polyhedra. JAMA 149, 239–249 (2023). https://doi.org/10.1007/s11854-022-0250-3
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DOI: https://doi.org/10.1007/s11854-022-0250-3