Steininger and Yurkevich's negative Rupert conjecture for three Archimedean solids

A compact convex set $S\subseteq\mathbb{R}^3$ is Rupert if a second identical copy can pass straight through a hole in the interior of the first with rescaling factor $\mu_S>1$. Steininger and Yurkevich's conjecture. The rhombicosidodecahedron, snub dodecahedron, and snub cube are not Rupert. The paper motivates this negative conjecture by high-precision computational searches that did not find Rupert passages for these three Archimedean solids; failure to find such passages does not establish non-Rupertness.