A characterization of Thurston’s Master Teapot

Abstract We prove an explicit characterization of the points in Thurston’s Master Teapot, which can be implemented algorithmically to test whether a point $\mathbb {C}\times \mathbb {R}$ belongs complement Teapot. As application, we show that intersection Teapot with unit cylinder is not symmetrical under reflection through plane product imaginary axis {C}$ and .