Alternative methods to exclude local solutions
Develop methods to disprove the existence of local solutions to Rupert’s property that do not rely on the angle-based approach of Lemma 7.2 and Theorem 7.1 or on constructing algebraic systems of inequalities.
References
Are there other ways to disprove the existence of local solutions? That is, without the method utilized in Lemma 7.2 and Theorem 7.1, or setting up an algebraic system of inequalities.
— A convex polyhedron without Rupert's property
(Steininger et al., 25 Aug 2025) in Section 9.2, Open Problems