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.

翻译：若一个三维凸体能够使其自身复制体穿过其内部的一个直孔，则称该凸体具有鲁珀特性。本工作构造了一个可证明不具备鲁珀特性的多面体，从而推翻了2017年提出的一个猜想。我们还发现了一个具有鲁珀特性但不具备局部鲁珀特性的多面体。