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A convex polyhedron without Rupert's property
A three-dimensional convex body is said to have Rupert's property if its copy can be passed through a straight hole inside that body. In this work we construct a polyhedron which is provably not Rupert, thus we disprove a conjecture from 2017. We also find a polyhedron that is Rupert but not locally Rupert.
View a PDF of the paper titled A convex polyhedron without Rupert's property, by Jakob Steininger and Sergey Yurkevich In this work we construct a polyhedron which is provably not Rupert, thus we disprove a conjecture from 2017. From: Jakob Steininger [ view email][v1] Mon, 25 Aug 2025 20:40:00 UTC (259 KB)
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