2 problems

The principal-vein Master Teapot conjecture. The set $\Upsilon_{p/q}$ is given by the closure of the pairs consisting of $e^{h(\theta)}$ and its Galois conjugates, as displayed abo…

Let $\Xi_\lambda$ denote the $\lambda$-slice of Thurston's Master Teapot, and let $\overline{\mathbb{D}}$ be the closed unit disk. Connected-component conjecture. There exists…