The Rhombicosidodecahedron non-Rupert conjecture

The Rhombicosidodecahedron is the point-symmetric Archimedean solid considered here, and Rupert's property means that a congruent copy can pass through a hole cut into the original solid. Rhombicosidodecahedron non-Rupert conjecture. The Rhombicosidodecahedron does not have Rupert's property. This conjecture contradicts the universal conjecture that every convex polyhedron is Rupert and is based on computational experiments showing no solution among 100 million trials, together with an estimated exceptionally low Rupertness; it remains unproved.