2 problems

Let $\gamma_1,\gamma_2\colon\mathbb{R}\to\mathbb{C}$ be continuous disjoint periodic embeddings of the real line into the plane. A quadrilateral $Q$ admits an inscription in any pa…

Let $\gamma_1,\gamma_2\colon\mathbb{R}\to\mathbb{C}$ be continuous embeddings satisfying … for every $t$ and $i=1,2$, with disjoint images. Tao's square inscription conjecture. The…