3 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…

Asymptotic Julia–Mandelbrot correspondence. The set $\Xi_\lambda-z$ is asymptotically similar to $J_z$: there exist $r>0$ and sequences $(t_n),(t'_n)\in\mathbb{C}$ with…